If the switch in the circuit below has been closed for a long time before t = 0 but is opened at t = 0, determine i_x and v_R for t > 0
Answers
Hence, the value of i_x and v_R for t > 0 are: i_x = 0.333 mA and v_R = 3.33 V.
The given circuit below is shown :
Find i_x and v_R for t > 0 in the circuit
where the switch has been closed for a long time before t = 0 but is opened at t = 0.
The given circuit is shown below:
In the given circuit, we can observe that the switch is closed for a long time. This implies that the capacitor is charged up to 8V.In steady state, the capacitor acts like an open circuit, and hence the current flowing through R2 will be zero.
The current flowing through the circuit will be i = i1 = i2.
Using Kirchhoff’s Voltage Law, KVL for the closed loop containing the voltage source and resistors in series,
Vs - iR1 - iR2 = 0 ⇒ iR1 + iR2 = Vs ………..(1)
Applying Ohm's Law,R1 = 10 kΩ; R2 = 15 kΩ, Vs = 20 V,
Substituting these values in equation (1),i(10 kΩ + 15 kΩ) = 20 V ⇒ i = 0.6667 mA
The capacitor is charged to 8 V.
Hence voltage across it will be 8V.Now, at t = 0, the switch is opened.
Hence, the capacitor now acts like an open circuit and no current will flow through R2.
However, current flowing through R1 will continue to flow.
The voltage across R1 at t = 0 can be determined using voltage division.
V_R1 = Vs × (R1/(R1 + R2))V_R1 = 20 × (10 kΩ/(10 kΩ + 15 kΩ))V_R1 = 6.67 V
The voltage across R2 at t = 0 can be determined as V_R2 = 0V.
Since no current flows through R2, there will not be any voltage drop across it.
Hence, V_R2 = 0V, The current flowing through the circuit for t > 0 can be determined using current division.
i_R1 = i × (R2/(R1 + R2))i_R1 = 0.6667 mA × (15 kΩ/(10 kΩ + 15 kΩ))i_R1 = 0.333 mA
The current flowing through R1 for t > 0 can be determined as i_R2 = 0.
The voltage across R1 and R2 for t > 0 can be determined using Ohm's Law.
V_R1 = i_R1 × R1V_R1 = 0.333 mA × 10 kΩV_R1 = 3.33 VV_R2 = 0 V;
since i_R2 = 0.
The current flowing through the circuit for t > 0 can be represented using the following figure: Figure: Current flowing through the circuit for t > 0. (Represented using the red arrows)
Hence, the value of i_x and v_R for t > 0 are:i_x = 0.333 mA and v_R = 3.33 V.
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Related Questions
A mining cart is pulled up a hill at 17 km/h and then pulled back down the hill at 37 km/h through its original level. (The time required for the cart's reversal at the top of its climb is negligible.) What is the average speed of the cart for its round trip, from its original level back to its original level
Answers
The average speed of the mining cart for its round trip, from its original level back to its original level, is 26.7 km/h.
To calculate the average speed of the mining cart, we need to consider the total distance traveled and the total time taken for the round trip. Let's break it down into two parts: the uphill journey and the downhill journey.
In the uphill journey, the cart is pulled at a speed of 17 km/h. The distance traveled in this phase is equal to the height of the hill. However, the time taken for the cart's reversal at the top of the hill is negligible, meaning we can consider the uphill journey as a continuous motion.
Therefore, the time taken for the uphill journey is the same as the time taken for the downhill journey.
In the downhill journey, the cart is pulled back down the hill at a faster speed of 37 km/h. Again, since the time taken for the cart's reversal is negligible, we can consider the downhill journey as a continuous motion.
Now, let's calculate the time taken for the round trip. Since the uphill and downhill journeys have the same time duration, we can divide the total time taken by 2 to find the time taken for one leg of the trip.
Let's assume the height of the hill is 'h' kilometers. The time taken for one leg of the trip can be calculated using the formula: time = distance/speed.
For the uphill journey:
time taken = h km / 17 km/h = h/17 hours
For the downhill journey:
time taken = h km / 37 km/h = h/37 hours
Since the total time taken for the round trip is the sum of the time taken for the uphill and downhill journeys, we have:
total time taken = (h/17 + h/37) hours
The average speed is given by the formula: average speed = total distance / total time taken.
The total distance for the round trip is equal to twice the height of the hill:
total distance = 2h km
Plugging in the values, we can calculate the average speed:
average speed = (2h km) / (h/17 + h/37) hours
Simplifying this expression, we get:
average speed = (74h km) / (17h + 37h) hours
average speed = (74h km) / (54h) hours
average speed = 74/54 km/h
average speed ≈ 1.37 km/h
Therefore, the average speed of the mining cart for its round trip is approximately 26.7 km/h.
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the breaks on a 15,680 N car exert a stopping force of 640 N.
Answers
A 5000kg freight car moving at 2 m/s East collides with a 10,000kg freight car at rest. Upon collision, they got stuck and moved with same velocity. Find their final velocity after collision
Answers
Answer:
A
Explanation:
What is the direction of the magnetic force on a positive charge if:
1. V= downward; B= out of the page
2. V=upward; B=right
3. V=right; B=into the page
4. V=into the page; B=upward
5. V=out of the page; B=left
Answers
Explanation:
1) left ⬅️
2) into the page
3) upward ⬆️
4) right ➡️
5) downward ⬇️
Imagine you are an astronomer who recently discovered a new planet orbiting a distant star.
Which set of characteristics would you use to classify this planet as an inner or terrestrial planet? Check all that apply.
D dense and solid
D- very large
O thick atmosphere containing hydrogen and helium
D lacking a solid surface
D located near a star
Answers
Answer:
I think its dense and solid and located near a star.
Explanation:
Hope this helps, good luck.
Your younger brother tells you about a television show he watched where humans ride dinosaurs instead of cars. He says he wishes he could go back to the time when people lived with dinosaurs. Based on what you learned in this activity, what do you tell him?
Answers
each point from the plot on the right represents an observation of the comet's position in polor coordinates. this information is stored in the 2d numpy array observation data. the values are stored in the first row of observation data and the values are stored in the second row of observation data . 1) you are asked to find the orbit using least-squares methods. consider the linear system that consists of every equation of the form where each is a single data point. find the least-squares solution of this linear system. store the solution numbers in beta and e, respectively. 2) the comet is observed at (radians). how far away from the sun is the comet? store the answer as distance.
Answers
we need to solve a linear system to find the least-squares solution of the orbit of the comet and then use the values obtained to find the distance of the comet from the sun when it is observed at a certain angle.
To find the orbit of the comet using least-squares methods, we need to consider a linear system that consists of equations of the form Ax=b, where A is a matrix with every row representing a single data point, x is the vector of unknowns (beta and e), and b is the vector of observations. We can solve this system using the least-squares method to obtain the values of beta and e. Once we have these values, we can use them to determine the orbit of the comet.
To find the distance of the comet from the sun when it is observed at theta radians, we can use the formula r = (beta * (1-e**2))/(1+e*cos(theta)), where r is the distance of the comet from the sun. We can substitute the values of beta and e that we obtained from the linear system into this formula and then substitute the value of theta to get the distance of the comet from the sun. We can store this value as distance.
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if the transfer orbit has a semi-major axis of 195100000 km, how long, in days, would the interplanetary trip last? hint: first, determine the period of the transfer orbit.
Answers
The interplanetary trip would last approximately 594 days, or about 1.6 years.
To find the period of the transfer orbit, we can use Kepler's third law, which states that the square of the period of an orbit is proportional to the cube of the semi-major axis,
(T_transfer)^2 / (a_transfer)^3 = (T_earth)^2 / (a_earth)^3
where T_transfer is the period of the transfer orbit, a_transfer is the semi-major axis of the transfer orbit, T_earth is the period of Earth's orbit, and a_earth is the semi-major axis of Earth's orbit.
Assuming that Earth's orbit is circular with a semi-major axis of 149.6 million km, we can substitute the given values and solve for T_transfer:
(T_transfer)^2 / (195100000 km)^3 = (365.25 days)^2 / (149.6 million km)^3
T_transfer = sqrt[(195100000 km)^3 * (365.25 days)^2 / (149.6 million km)^3] = 593.6 days
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A hiker travels south along a straight path for 1.5 h with an average velocity of 0.75 km/h, then travels south for 2.5 h with an average velocity of 0.90 km/h. What is the hiker’s displacement
for the total trip?
Answers
The hiker travelled south for the entire trip, the displacement is also in the south direction. Therefore, the hiker's displacement for the total trip is 3.375 km south.
To find the hiker's displacement for the total trip, calculate the total distance travelled and the direction of the displacement.
The hiker travels south for 1.5 hours with an average velocity of 0.75 km/h. Therefore, the distance traveled in this leg of the trip is given by distance = velocity * time = 0.75 km/h * 1.5 h = 1.125 km.
Similarly, the hiker travels south for 2.5 hours with an average velocity of 0.90 km/h. The distance traveled in this leg of the trip is distance = velocity * time = 0.90 km/h * 2.5 h = 2.25 km.
To calculate the total distance, add the distances of the two legs: 1.125 km + 2.25 km = 3.375 km.
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In your own words explain how acceleration differs from uniform motion.
Answers
Explanation:
acceleration is the Changing of throut per unit time ....
and in uniform motion .....
in that the speed of an object is uniform means same
What is exothermic .Is it a reaction?
Answers
Answer:(of a reaction or process) accompanied by the release of heat.
Explanation: trust moi
Give reasons for the following:
a. We should not see the solar eclipse directly through our unaided eyes.
b. Dark patches are seen on the ground when sunlight passes through dense tree.
Answers
Answer:
a)The reason why people are advised not to watch the Solar Eclipse with naked eyes is that when the Moon in direcly between the Earth and the Sun, the rays from the Sun that reach the Earth are more powerful and can permanently damage our retina (most important part of the eye).
Explanation:
b ) The leaves of the trees obstruct (stop) the rays coming from the sun as there is no sun the soil to will be marshy. in some places where the leaves are not thick the sunlight penetrates to the ground... therefore one mostly sees dark patches on the ground in dense forests.
Answer:
The reason why people are advised not to watch the Solar Eclipse with naked eyes is that when the Moon in direcly between the Earth and the Sun, the rays from the Sun that reach the Earth are more powerful and can permanently damage our retina (most important part of the eye).The leaves of the trees obstruct (stop) the rays coming from the sun as there is no sun the soil to will be marshy. in some places where the leaves are not thick the sunlight penetrates to the ground, therefore one mostly sees dark patches on the ground in dense forests.a 20 g particle is moving to the left at 30 m/s. a force on the particle causes it to change direction and move to the right at 30 m/s. How much work must be done on the particle to cause it to move to the right at 30 m/s?
Answers
No work is done to move the ball to the right.
Initial velocity = - 30 m/s
Final velocity = + 30 m/s
Kinetic energy :
ΔK = 1/2 mv² - 1/2 mu²
Δk = 1/2m ( v² - u² )
ΔK = 1/2 × m ( 30² - 30² )
ΔK = 0
thus no work is done on the ball
However, the work done to bring the ball to stop is :
W = 0.5 × 0.02 × - 900
W = - 9 J
Work done for the acceleration of the ball to come to rest is :
W2 = + 9 J
The work done again would be :
Work done = - 9 + 9 = 0 Joule
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If a box that weights one pound (5 newtons) needs to be moved, how much force needs to be applied to move it?
A. Less than 5 Newtons
B. Exactly 5 Newtons
C. Any force greater than 5 Newtons
D. Not enough information provided
Answers
Answer:
A
Explanation:
Which of the following statements best describes the function of the muscular system?
A. Provides a way for the body to rid itself of waste in the form of gas, liquid or a solid.
B. Provides the body essential minerals needed to maintain homeostasis.
C. Provides movement of limbs, blood vessels, digestive organs and cardiac muscle.
D. Provides movement for the human body.
Answers
Explanation:
A is excretion
B is digestion
so my guess is c
why would one expect venus to have a molten metallic interior?
Answers
Venus is the second planet from the sun and is similar in size, composition, and gravity to Earth. According to our current understanding, early in its history, Venus may have been awash in lava flows formed by molten rock from its interior.
This along with the intense heat from the sun could explain why Venus could have a molten metallic core. We can surmise this due to the fact that planetary interiors cool slowly over time, and that the core of Venus is still quite hot and has not yet cooled and solidified. Additionally, since temperatures at the surface of Venus can reach 864°F, we can assume temperatures within the Venusian interior must reach even higher temperatures which could support a molten core.
Furthermore, the planet's main constituents are iron and nickel, both of which could potentially liquify under the intense heat and pressure, leading to a molten core. Therefore, Venus' extreme conditions could explain why one would expect it to have a molten metallic interior.
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Waves transfer _________________, not the _____________ with it. A ______________________ causes particles in matter to move back and forth at right angles to the direction in which the wave travels. High points in a transverse wave are called ________________. Low points are called ________________. A ________________ wave causes particles in matter to move back and forth along the same direction in which the wave travels. The places in a longitudinal wave in which the coils are squeezed together are called ______________. The places in the wave in which the coils are spread apart are called _________________. The ________________ of a transverse wave is the distance between two adjacent crests or two adjacent troughs. The _________________ of a compressional wave is the distance between two adjacent compressions or rarefactions.. The _____________ of a wave is the number of wavelengths that pass by a point each second. Frequency is measured in units of _____________. The ___________ of a wave depends on the medium in which the wave travels. To make a wavelength of rope shorter, one should shake the rope at a ____________ frequency. The speed of a wave can be found using the equation ________________. As the wavelength of a wave increases, the frequency of the wave _______________. The energy of a wave depends on its ______________________.
Answers
Explanation:
(Sorry but we can prosses your answer)
What is the main tenet of Plank's quantum hypothesis?
Light is composed of waves that exist only at certain quantum fundamental frequencies.
Energy is a continuum, but light is quantized.
Energy can be converted into matter through nuclear quanta.
Energy comes in discrete packets of a certain minimum size.
Energy is composed of subatomic particles called quanta.
Answers
The main tenet of Planck's quantum hypothesis is that energy comes in discrete packets of a certain minimum size, which are called quanta.
The main tenet of Plank's quantum hypothesis is that energy comes in discrete packets of a certain minimum size, known as quanta. This means that energy cannot be divided infinitely, but rather exists in specific, quantized units. This concept revolutionized the field of physics and laid the foundation for modern quantum mechanics. Plank proposed that the energy of light is also quantized, meaning that light exists only at certain fundamental frequencies, known as quantum frequencies. This idea forms the basis of the wave-particle duality of light and matter, and has been proven through numerous experiments.
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Which body in our solar system is larger than earth.
Answers
Answer:
The Neptune
Explanation: Hope it helps you :))))
Have a good day
A 0.264 m diameter circular saw blade rotates at a constant angular speed of 123 rad/s. What linear distance (in m) will the tip of a saw tooth move through in 15.4 s
Answers
The tip of a saw tooth will move through a linear distance of approximately 250.034 meters in 15.4 seconds.
To find the linear distance the tip of a saw tooth moves through in 15.4 s, you'll need to use the following steps:
1. Determine the radius of the circular saw blade.
2. Calculate the linear speed of the tip of a saw tooth.
3. Find the linear distance traveled in 15.4 seconds.
Step 1: Determine the radius of the circular saw blade.
The diameter of the blade is 0.264 m, so the radius (r) would be half of that:
r = 0.264 m / 2 = 0.132 m
Step 2: Calculate the linear speed of the tip of a saw tooth.
Linear speed (v) can be found using the formula: v = rω
where ω is the angular speed (123 rad/s) and r is the radius (0.132 m).
v = 0.132 m * 123 rad/s ≈ 16.236 m/s
Step 3: Find the linear distance traveled in 15.4 seconds.
To find the linear distance (d) traveled in 15.4 seconds, use the formula: d = vt
where v is the linear speed (16.236 m/s) and t is the time (15.4 s).
d = 16.236 m/s * 15.4 s ≈ 250.034 m
So, the tip of a saw tooth will move through a linear distance of approximately 250.034 meters in 15.4 seconds.
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Pravat exerts a force of 30 n to lift a bag of groceries 0.5 m. how much work did pravat do on the bag? note : work = force x distance 0 j 15 j 30 j 60 j
Answers
Answer:
he is right it’s D
Explanation:
if u could not read his hand writing
. Explain What makes the rock cycle a cycle?
SC.7.E.6.2 hi how do you do this
Answers
The Rock cycle is a model that describes the formation degradation, and regeneration of rocks as a result of sedimentation magma, and metamorphism. All rocks are made of minerals.
Rock circulation is the process by which rocks change continuously between three types igneous sedimentary and metamorphic. The three processes that transform one rock into another are crystallization, metamorphism erosion, and sedimentation. Any rock can be transformed into another rock by undergoing one or more of these processes. This creates a lock cycle.
Rock circulation is a fundamental concept that describes the transition between three rock types metamorphic igneous, and sedimentary rocks. Simply put it is a set of processes that create and transform rock types within the Earth's crust. Rock cycling by definition is the natural process by which sedimentary igneous, and metamorphic rocks are formed, transformed from one type to another, and destroyed.
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Optimization With Calculus: Exercise >If TC = 36,000 + 200Q + 0.4Q², find ➤ (1) Q at which AC is optimized! > (2) Determine whether this is achieved at a minimum or a maximum AC!
Answers
AC is at a minimum at Q = 300.
To find the optimized value of Q, we have to find the derivative of AC with respect to Q and equate it to zero.So, differentiate the AC equation with respect to
Q.d(AC)/d(Q) = -36000/Q² + 0.4= 0
Thus, -36000/Q² + 0.4 = 0
Solving the above equation for Q, we get
Q² = 36000/0.4Q² = 90000Q = 300 (∵ Q must be positive)
Therefore, the value of Q at which AC is optimized is Q = 300.
Now, we need to check whether it is a minimum or a maximum.
To do that, we need to find the second derivative of AC with respect to
Q.d²(AC)/d(Q²) = 72000/Q³
Thus, d²(AC)/d(Q²) > 0 (∵ Q is positive)
Therefore, AC is at a minimum at Q = 300.
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Which of these activities performed by a chemist is primarily based on an understanding of physics?
A.
using an indicator to determine if a solution is an acid, base, or neutral
B.
testing the molar concentration of a solution
C.
checking whether a given element is a metal or nonmetal
D.
predicting the volume of a gas, given its temperature and pressure
Answers
Answer:
Hello! your answer is C. I did this. got 100%. Have a nice day!
Explanation:
Answer:
D Predicting the volume of a gas by its Temp and preasure
Explanation:
1: not C, took the Plato test and it was wrong
C DOES seem like the answer, but determining if an element is a metal or non-metal deals with the molecular structure of said element as well as the different components meaning its more of a chemistry based task
2: the answer choice D refers to the measurement of volume and temp, these are tied to physical traits and therefore, is a task based on the understanding of physics
*SIDENOTE* a good way to tell in this case is process of elimination, we know that option A involves a more chemical style task, referring to the measurement of the acidity of said substance, same goes for option C for it deals with the molecular structure of a solution
What’s the main idea of this paragraph in one sentence?
Answers
Answer:
All forces are either balanced or unbalanced and each force acts in different ways.
For freely falling objects near earth's surface, _____ is constant.
A
acceleration
B
speed
C
velocity
D
momentum
Answers
The correct option is A. acceleration.
For freely falling objects near Earth's surface, acceleration is constant. An object that is allowed to fall freely under the influence of Earth's gravity is known as a freely falling object. Gravity is an acceleration that acts on any two masses.
For freely falling objects near Earth's surface, the acceleration is indeed constant. This fundamental concept is a result of gravity's influence on objects in free fall. When an object is in free fall, it means that no forces other than gravity are acting upon it. In this scenario, the acceleration experienced by the object remains constant and is equal to the acceleration due to gravity, which is approximately 9.8 meters per second squared (m/s²) near Earth's surface.
The constancy of acceleration in free fall can be attributed to the consistent force of gravity acting on the object. Gravity pulls objects downward towards the center of the Earth, causing them to accelerate uniformly. Regardless of the object's mass, shape, or composition, the acceleration remains constant. This is known as the equivalence principle, which states that all objects experience the same acceleration due to gravity in the absence of other forces.
As an object falls freely, its velocity increases at a steady rate. Each second, the object's velocity increases by approximately 9.8 m/s. This means that in the first second, the velocity increases by 9.8 m/s, in the second second it increases by an additional 9.8 m/s, and so on. The consistent acceleration enables the object to cover greater distances in successive time intervals.
In conclusion, for freely falling objects near Earth's surface, the acceleration remains constant at approximately 9.8 m/s². This constancy arises from the unchanging force of gravity acting on the objects, leading to a uniform increase in velocity over time.
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if an object's velocity is doubled, its momentum is if an object's velocity is doubled, its momentum is doubled. dependent on its acceleration. quadrupled. halved. unchanged.
Answers
When an object's velocity doubles, so does its momentum. This is because momentum is directly proportional to velocity, meaning that any change in velocity will result in a proportional change in momentum. However, the momentum of an object is not dependent on its acceleration, as acceleration only affects the rate at which velocity changes.
Therefore, the answer is that the momentum is doubled. It is important to note that this assumes that the mass of the object remains constant. If the mass were to change, then the momentum would be affected differently.
To explain further, the momentum (p) of an object is calculated using the formula:
p = m * v
When an object's velocity doubles, so does its momentum. If the velocity is doubled (2v), the new momentum (p') can be calculated as:
p' = m * (2v)
which can be simplified to:
p' = 2 * (m * v)
Since (m * v) represents the initial momentum (p), the new momentum (p') is twice the initial momentum:
p' = 2p
As a result, as an object's velocity doubles, so does its momentum.
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A cylindrical glass that is 10cm high is partially filled with water. You see the glass in two positions. What is the height of the water when the glass is upright
Answers
Answer:
5 cm.
Explanation:
If the glass is located upright, the height of water is about 5 cm because the height of glass is 10 cm and it is partially filled with water and we know that partial means 50 percent of something and here 50 percent of glass is 5 cm. If the glass is slightly bend, so we can't find its right height so the proper height of water is attain if it is placed on flat table and present upright.
What is the atomic bomb equivalent of energy released during a 7. 0 quake? an 8. 0 quake? a 9. 0 quake?
Answers
Answer:
7. 0 = 500 kilotons of TNT = 2.0 x 10^15 joules
8.0 = 15 million tons of TNT = 6.3 x 10^16 joules
9.0 = 500 million tons of TNT = 2.0 x 10^18 joules
atomic bomb dropped on Hiroshima had a equivalent of 15 kilotons TNT
Explanation:
formula :
log E = 5.24 + 1.5M
M is richter scale magnitude
if 8.3 = richter scale magnitude
log E = 11.8 + 1.5M Write the formula.
log E = 11.8 + 1.5(8.3) Replace M with 8.3.
log E = 24.25 Simplify
10^log E = 10^24.25
E = 10^24.25
E ≈ 1.78 x 10^24 ergs ≈ 1.78 × 1017 joules
volcanodiscoverycomearthquakesenergy
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A girl is running in a long distance race. As she runs, her respiration rate 10 points increases. Her body cells must process energy at a faster rate to power her muscles as she runs. Is this action a response to internal stimuli or external stimuli?
A. internal stimuli
B. external stimili
Answers
Good luck