Two spherical shells have a common center. A -2.1 10-6 C charge is spread uniformly over the inner shell, which has a radius of 0.050 m. A +5.0 10-6 C charge is spread uniformly over the outer shell, which has a radius of 0.15 m. Find the magnitude and direction of the electric field at the following distances (measured from the common center). (a) 0.20 m magnitude direction (b) 0.10 m magnitude direction (c) 0.025 m magnitude direction
Answers
Answer:
a) E_total = 6,525 10⁴ N /C ,field direction is radial outgoing
b) E_total = 1.89 10⁶ N / C, field is incoming radial
c) E_total = 0
Explanetion:
For this exercise we can use that the charge in a spherical shell can be considered concentrated at its center and that the electric field inside the shell is zero, since Gauss's law is
Ф = E .dA = q_{int} /ε₀
inside the spherical shell there are no charges
The electric field is a vector quantity, so we calculate the field created by each shell and add it vectorly.
We have two sphere shells with radii 0.050m and 0.15m respectively
a) point where you want to know the electric field d = 0.20 m
shell 1
the point is on the outside,d>ro, therefore we can consider the charge to be concentrated in the center
E₁ = k q₁ / d²
shell 2
the point is on the outside,d>ro
E₂ = k q₂ / d²
the total camp is
E_total = -E₁ + E₂
E_total = k ( \(\frac{-q_1 + q_2}{d^2}\))
E_total = 9 10⁹ (-2.1 10⁻⁶+ 5 10⁻⁶ / .2²
E_total = 6,525 10⁵ N /C
The field direction is radial and outgoing ti the shells
b) the calculation point is d = 0.10m
shell 1
point outside the shell d> ro
E₁ = k q₁ / d²
shell 2
the point is inside the shell d <ro
Therefore, according to Gauss's law, since there are no charges in the interior, the electrioc field is zero
E₂ = 0
E_total = E₁
E_total = k q₁ / d²
E_total = 9 10⁹ 2.1 10⁻⁶ / 0.1²
E_total = 1.89 10⁶ N / A
As the charge is negative, this field is incoming radial, that is, it is directed towards the shell 1
c) the point of interest d = 0.025 m
shell 1
point is inside the shell d< ro
as there are no charges inside
E₁ = 0
shell 2
point is inside the radius of the shell d <ro
E₂ = 0
the total field is
E_total = 0
Related Questions
Use the graph to answer the following questions.
Answers have a 5 % tolerance to allow for estimation.
Note that slope may be positive or negative.
What is the y-intercept of the graph?
What is the slope of the graph?
What is the area under the graph?
Answers
It is to be noted that the y-intercept of the graph is 20. The slope is -0.2; while the area under the graph is: 840
How do you find the intercept?At x = 0, the value of y is 20. Hence the intercept of the graph is 20.
To compute the slope, recall that the graph passes through points (0, 20) and (60, 8) hence the solution of the graph is given as:
Change in y coordinate/Change in x coordinate
= (8-20)/60-0)
= -12/60
= -1/5 or -0.2
The area under the graph compares a right-angled triangle and a rectangle. To get the area under the graph we need to find the sum of the areas of both shapes.
Recall that Area of a Right Angled Triangel is given as 1/2 B*H
Hence
⇒ 1/2 * 12 * 60
= 360
The area of a rectangle is L x B
Hence
⇒ 8 x 60
= 480
Thus, the area under the graph is
360 + 480
= 840
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A 50 kg mass is placed 2 meters from the fulcrum. To balance the lever, a second object is placed 4 meters
from the fulcrum. What is the mass of the second object?
Answers
Answer:
mass =25 kg
using clockwise moment = anticlockwise moment
A good baseball pitcher can throw a baseball toward home plate at 97 mi/h with a spin of 1540 rev/min. How many revolutions does the baseball make on its way to home plate
Answers
Answer:
10778292789403987593790
Explanation:
I am a Cow'
Which would not describe a physical property of
a substance?
how it reacts with another substance
B how shiny it is
C what color it is
D its mass
Answers
Answer:
Explanation:
Out of the given options, A would not describe a physical property of a substance. How a substance reacts with another substance is a chemical property, whereas physical properties are intrinsic characteristics that can be observed or measured without changing the substance's identity. B, C, and D are examples of physical properties - shininess, color, and mass respectively.
1. Which of the following does not affect the resistance of a wire?
a) Length
b) Temperature
c) Usage time
d) Cross-sectional area
2. If a 12V battery is passing current through a resistor with a current of 2A, what is the value of the resistor?
a 24resistance
b) 14resistance
c) 10resistance
d) 6resistance
3. Describe the differences between series and parallel circuits.
4. A circuit contains resistors of 8resistance and 4resistance，what is combined resistance if the resistors are combined:
a) In series
b) In parallel
5. A 0.5A current is passing across three resistors of 8resistance, 4resistance and 12resistance that are linked in series.
What is the potential difference of the circuit?
6. Wire A has a resistance of 24resistance. If wire B is double the length and has a diameter four times as large as wire A, what is the resistance of wire B?
Answers
Could someone please help
Answers
Answer:
Their not in the door space, and not facing the right way, so even if they were in the door space they would be facing the wrong way
Explanation:
Hope this helps!
(d) After rolling down the incline, the cylindrical object rolls across a horizontal surface, as shown in Figure 2a. The object then hits a vertical wall (Figure 2b) and bounces off the wall with the same speed it had before hitting the wall (Figure 2c). Note that during the bounce the object is in contact with the wall for a time interval that is very small, but not zero.
ii. During the time the object is in contact with the wall, is the magnitude of the acceleration greater than, less than, or the same as it was while it was rolling down the ramp?
Answers
The magnitude of the acceleration is greater as it was while it was rolling down the ramp because the speed of the object that is rolling down is going to increase every time.
How slope provides high speed on rolling objects?The greater the angle of the incline on which the object is rolling down, the greater speed the ball will attain and acceleration because of the gravitational force that acts on the body attract the object which ultimately increase the speed of the rolling object. So when the object rolls down on a sloppy surface its speed increases as well as its acceleration and the object will cover a large distance or hit the wall with high speed.
So we can conclude that The magnitude of the acceleration is greater as it was while it was rolling down the ramp because the speed of the object that is rolling down is going to increase every time.
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If a scientist was investigating the affect of pH on plant growth, what are things that should be held constant? Check all that apply.
Question 3 options:
The amount of water given to the plants each day.
The length of time each plant is exposed to light.
The temperature where the plants are stored.
The type of plant that is tested.
Answers
The things that should be held constant are the amount of water given to the plant each day, the length of time each plant is exposed to light and the temperature where the plants are stored.
What is a pH scale?Using a pH scale, acids and bases can be determined. The scale has a 0 to 14 range. In order to detect whether a chemical is an acid or a basic, Litmus paper is employed as an indication. The color of the paper, which corresponds to the numbers on the pH scale, indicates the type of chemical being tested. For instance, vinegar, which has a pH of 2.4, is an acid.
Now, according to the question,
The concentration of carbon dioxide in water affect the pH of the plant, so it depends on that how much water is given to the plant. The temperature also affect the pH of the plant so, the length of time each plant is exposed to light and the temperature where the plants are stored will also affect the pH on plant growth that's why these things should be held constant.
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Which of the following solutions contains the smallest total concentration of ions, assuming complete dissociation?
a) 2 M AI2(SO4)3
b) 2 M AICl3
c) 2 M NaCl
d) 2 M CaCl2
Answers
The solution with the lowest total ion concentration, assuming full dissociation, is 2 M aluminum sulphate.
What is concentration?Concentration in chemistry is defined as the abundance of an ingredient divided by the total volume of a combination. There are four sorts of mathematical descriptions: mass concentration, molar concentration, number concentration, and volume concentration. The amount of a material, such as salt, that is present in a certain amount of tissue or liquid, such as blood. When there is less water present, a material becomes more concentrated. When a person does not drink enough water, the salt in his or her urine may become more concentrated. A substance's concentration is the amount of solute contained in a given amount of solution. Molarity is the number of moles of solute in one liter of solution and is used to express concentrations.
Here,
The solution with the lowest total ion concentration, assuming full dissociation, is 2 M aluminum sulfate.
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A 1420-kg car moving east at 17.0 m/s collides with a 1880-kg car moving south at 15.0 m/s, and the two cars connect together.A. What is the magnitude of the velocity of the cars right after the collision? (m/s )B. What is the direction of the cars right after the collision? Enter the angle in degrees where positive indicates north of east and negative indicates south of east. (°)C. How much kinetic energy was converted to another form during the collision? (kJ)
Answers
Given,
The mass of the car moving east, m=1420 kg
The mass of the car moving south, M=1880 kg
The velocity of the car moving east, u₁=17.0 m/s
The velocity of the car moving south, u₂=-15.0 m/s
Here we assume that the eastward direction is the positive x-direction and the southward direction is the negative y-direction.
From the law of conservation of momentum, the momentum is conserved in both directions simultaneously and independently.
Considering the conservation of momentum in the x-direction,
\(mu_1=(m_{}+M)v_x\)Where v_x is the x-component of the final velocity of the two cars.
On substituting the known values,
\(\begin{gathered} 1420\times17.0=(1420+1880)v_x \\ v_x=\frac{1420\times17.0}{(1420+1880)} \\ =7.32\text{ m/s} \end{gathered}\)Considering the conservation of momentum in the y-direction,
\(Mu_2=(m+M_{})v_y\)Where v_y is the y-component of the final velocity of the cars.
On substituting the known values,
\(\begin{gathered} _{}1880\times-15.0=(1420+1880)v_y \\ v_y=\frac{1880\times-15.0}{(1420+1880)} \\ =-8.55\text{ m/s} \end{gathered}\)A.
The magnitude of the velocity of the cars tight after the collision is given by,
\(v=\sqrt[]{v^2_x+v^2_y}\)On substituting the known values,
\(\begin{gathered} v=\sqrt[]{7.32^2+(-8.55)^2} \\ =11.26\text{ m/s} \end{gathered}\)Thus the magnitude of the velocity of the cars right after the collision is 11.25 m/s
B.
The direction of the cars right after the collision is given by,
\(\theta=\tan ^{-1}(\frac{v_y}{v_x})\)On substituting the known values,
\(\begin{gathered} \theta=\tan ^{-1}(\frac{-8.55}{7.32}) \\ =-49.4^{\circ} \end{gathered}\)Thus the direction of the cars right after the collision is -49.4°. That is 49.4° south of the east.
C.
The total kinetic energy of the system is before the collision is
\(K_1=\frac{1}{2}mu^2_1+\frac{1}{2}Mu^2_2\)On substituting the known values,
\(\begin{gathered} K_1=\frac{1}{2}\times1420\times17.0^2+\frac{1}{2}\times1880\times15.0^2 \\ =205.19\times10^3+211.5\times10^3 \\ =416.69\times10^3\text{ J} \end{gathered}\)The kinetic energy of the system of two cars after the collision is,
\(\begin{gathered} K_2=\frac{1}{2}(m+M)v^2 \\ =\frac{1}{2}\times(1420+1880)11.26^2 \\ =209.2\times10^3\text{ J} \end{gathered}\)Thus the kinetic energy lost during the collision is,
\(\Delta K_{}=K_1-K_2\)On substituting the known values,
\(\begin{gathered} \Delta K=416.69\times10^3-209.2\times10^3 \\ =207.49\times10^3\text{ J} \\ \approx207.5\text{ kJ} \end{gathered}\)Thus the total kinetic energy lost during the collision is 207.5 kJ
How much time will it take for a bug to travel 2 meters across the floor if it is traveling at 0.5 m/s?
Answers
You have been managing your time for years so you probably already have some ideas about what works for you. What are some effective time management strategies you have used at home at school or in the workplace? Why were they successful?
Answers
One of the most effective time management strategies that I have used is creating a to-do list. They are successful because they help me to prioritize tasks, remain organized, increase productivity, and reduce stress.
One of the most effective time management strategies that I have used is creating a to-do list.
Creating a to-do list helps me to prioritize tasks and ensures that I do not forget any important tasks.
When creating a to-do list, I ensure that I put the most important tasks at the top of the list and then work my way down.
The to-do list has helped me to organize my work, manage my time effectively and reduce stress.
Another effective strategy that I have used is breaking large tasks into smaller manageable tasks.
When dealing with complex tasks, I break them down into smaller, more manageable chunks.
This helps me to focus on the individual parts of the task, which are easier to handle and manage.
When I focus on smaller tasks, I find it easier to get started, and I gain momentum as I make progress on each small task.
This method has helped me to increase my productivity and reduce the stress that comes with handling large tasks.
In conclusion, the above time management strategies have helped me to manage my time effectively at home, school, and in the workplace.
They are successful because they help me to prioritize tasks, remain organized, increase productivity, and reduce stress.
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Một chất điểm dao động điều hoà theo phương trình x = 5cos(2πt)cm, chu kì dao động của chất
điểm là
A. 1s. B. 2s. C. 0,5s. D. 10s.
Answers
Answer:
D. is the answer trust me:))))
at which point is the object most likely to land assuming that it was subject to air resistance
Answers
The point at which the object from a free fall is mostly likely to land on the ground assuming that it was subject to air resistance is that point when the upward force of the air resistance of the object equals the force of gravity downward wise.
What is meant by air resistance?Air resistance simply refers to that special force which is made manifest in an opposite direction to an object moving through air. In order words, it is a kind of force which exert a frictional force against an object in motion.
That being said, from the context of the problem given above, this body will land the moment it attains what we call a terminal velocity.
In conclusion, we can now confirm and deduce from the explanation made from above that until the terminal velocity is achieved before the object on a free fall will be able to land ignoring air resistance.
The complete image is attached.
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Which scenario is an example of a scientific way of thinking?
O A. A scientist collects different kinds of rocks and then takes them to
museums where the public can appreciate them.
B. A scientist makes a judgment that a rock sample is volcanic
because of the rock's texture and mineral composition.
O C. A scientist decides that taking rocks from national parks is wrong
because later park visitors will not be able to see them.
D. A scientist makes a judgment that rocks are more interesting to
study than living organisms because they tell more about Earth's
history
Answers
The scenario when a scientist makes a judgment that a rock sample is volcanic because of the rock's texture and mineral composition is an example of a scientific way of thinking, therefore the correct answer is option B.
What is the scientific claim?Scientific claims are statements made in science based on an experiment.
These Scientific claims are backed by experimental data and their true results obtained from scientific investigation and experimentation.
A good illustration of a scientific mode of thinking is when a scientist determines that a rock sample is volcanic based on its texture and mineral makeup.
Thus, The scenario when a scientist makes a judgment that a rock sample is volcanic because of the rock's texture and mineral composition is an example of a scientific way of thinking, therefore the correct answer is option B.
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How are magnetic fields like vectors?
Answers
Answer:Magnetic fields from two sources add up as vectors at each point, so the strength of the field is not necessarily the sum of the strengths1. Magnetic fields are vectors, which means they have direction as well as size. Therefore, the sum of two magnetic fields is not simply the sum of their magnitudes2.
Explanation:
differences between heat and temperature
Answers
Answer:
Heat is the total energy of the motion of the molecules of a substance, whereas the temperature refers to the measure of the average energy of the motions of the molecules in the substance.
Explanation:
How did earth change about 2.5 billion years ago when many organisms began using photosynthesis to make food
A. The amount of oxygen in the atmosphere increased
B. Mass extinctions occurred
C. The oceans became larger
D. Rainfall increased
Answers
If you have contacted a seller to report a problem with a product and you were ignored, what should you do next? send a letter or e-mail to the company’s headquarters take the business to small claims court contact your local consumer protection agency or Better Business Bureau ask to speak to a manager
Answers
If you have contacted a seller to report a problem with a product and you were ignored, it is best to contact your local consumer protection agency or better business bureau.
Who is a Consumer?This is the final destination for goods and services and is the individual who purchases them for personal, family reasons etc and not for resale which is why they are referred to as buyer.
In cases where seller has been contacted over a problem with the product and ignores, then it is best to contact your local consumer protection agency or better business bureau so that appropriate action will be done and the issue sorted out.
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According to Newton's Universal Law of Gravitation, when the distance between two interacting objects doubles, the gravitational force is
Answers
Answer:
If the distance doubles, the gravitational force is divided by 4
Explanation:
Newton’s Universal Law of Gravitation
Objects attract each other with a force that is proportional to their masses and inversely proportional to the square of the distance.
\(\displaystyle F=G{\frac {m_{1}m_{2}}{r^{2}}}\)
Where:
m1 = mass of object 1
m2 = mass of object 2
r = distance between the objects' center of masses
G = gravitational constant: 6.67\cdot 10^{-11}~Nw*m^2/Kg^2
If the distance between the interacting objects doubles to 2r, the new force F' is:
\(\displaystyle F'=G{\frac {m_{1}m_{2}}{(2r)^{2}}}\)
Operating:
\(\displaystyle F'=\frac{1}{4}G{\frac {m_{1}m_{2}}{r^{2}}}\)
Substituting the original value of F:
\(\displaystyle F'=\frac{1}{4}F\)
If the distance doubles, the gravitational force is divided by 4
A stone 41.7 m high is dropped. How long does it take for the stone to fall?
Answers
Answer:
4.17 divided by how long
Explanation:
a trapeze is a short horizontal bar held up by two vertical ropes on either side. An acrobat with a mass of 60 kg provides a 588 N downward force on the bar. Each of the two ropes provide an upward force of 349 N. What is the upward acceleration of the acrobat?
Answers
The upward acceleration of the acrobat is 1.833 m/s².
What is acceleration?Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).
Given parameters:
Mass of the acrobat; M = 588 N.
Weight of the acrobat acting downwards; W = 588 N.
Upward force provided by each of the two ropes; f = 349 N.
Hence, net force acting on the acrobat in upward direction = 2f -w
= (2×349 - 588 ) N.
= 110 N.
Hence, the upward acceleration of the acrobat is = net force/ mass
= 110/60 m/s².
=1.833 m/s².
So, the upward acceleration of the acrobat is 1.833 m/s².
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For which planet is the length of the plants day longer than the planets year
Answers
Make as a abRainlist
What is sound waves
Answers
Sound waves are a type of mechanical wave that propagate through a medium, typically air but also other materials such as water or solids.
Characteristics of sound wavesFrequency: the frequency of a sound wave refers to the number of cycles or vibrations it completes per second and is measured in Hertz (Hz).
Amplitude: the amplitude of a sound wave refers to the maximum displacement or intensity of the wave from its equilibrium position. It represents the loudness or volume of the sound, with larger amplitudes corresponding to louder sounds and smaller amplitudes corresponding to softer sounds.
Wavelength: the wavelength of a sound wave is the distance between two consecutive points in the wave that are in phase, such as from one peak to the next or one trough to the next. It is inversely related to the frequency of the wave.
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Consider 4 charges placed at the corners of a square with side 1.25m as shown. What are the magnitude and direction of the electrostatic force on Q1 resulring from other three charges?
(Note: Please put your final answer in 4 decimal places.). pls answer:)
Answers
Answer:
F = 2,8289 i ^ + 1,0909 j ^) 10⁻² N
F = 3.0226 10⁻² N , θ = 21.16º
Explanation:
For this exercise we use Coulomb's law
F = k q₁q₂ / r₁₂²
We also use that the force is a vector magnitude, so we must calculate each component of the force , see the adjoint for the direction of the vectors
X axis
Fₓ = -F₁₄ + F₁₃ₓ
Y axis
\(F_{y}\) = F₁₂ -F_{13y}
let's look for the expression for each force
where the side of the square is a = 1.25 m
F₁₂ = k Q₁Q₂ / a²
F₁₄ = k Q₁Q₄ / a²
the distance between 1 and 3 is
d = √(a² + a²) = a √2
F₁₃ = k Q₁Q₃ / d²
let's use trigonometry to find the components
cos 45 = F₁₃ₓ / F₁₃
F₁₃ₓ = F₁₃ cos 45
F₁₃ₓ = k Q₁Q₃ / 2a²
sin 45 = F_{13y} / F₁₃
F_{13y} = F₁₃ sin 45
F_{13y} = k Q₁Q₃ / 2a² sin 45
Taking all terms, we substitute in the force for each axis
X axis
Fₓ = - k Q₁Q₄ / a² + k Q₁Q₃ / 2a₂ cos 45
Fₓ = k Q₁ / a² ( -Q₄ + Q₃ /2 cos 45)
Fₓ = 9 10⁹ 1.5 10⁻⁶ / 1.25² (- 4.5 10⁻⁶ + 3.5/2 cos 45 10⁻⁶)
Fₓ = 8.64 10³ (3.2626 10⁻⁶)
Fₓ = 2.8189 10⁻² N
Y axis
F_{y} = k Q₁Q₂ / a² - k Q₁Q₃ /2a² sin 45
F_{y} = k Q₁ / a² (Q₂ - Q₃ /2 sin45)
F_{y} = 9 10⁹ 1.5 10⁻⁶/ 1.25² (2.5 10⁻⁶ - 3.5/2 sin 45 10⁻⁶)
F_{y} = 8.64 10³ (1.26256 10⁻⁶)
F_{y} = 1.0909 10⁻² N
The result can be given in two ways
1) F = Fₓ i ^ + F_{y} j ^
F = 2,8289 i ^ + 1,0909 j ^) 10⁻² N
2) in the form of a module and an angle, for which we use the Pythagorean theorem and trigonometry
F = √ (Fₓ² + F_{y}²)
F = 10⁻² √ (2,8189² + 1,0909²)
F = 3.0226 10⁻² N
tan θ = F_{y} / Fx
θ = tan⁻¹ (F_{y} / Fₓ)
θ = tan⁻¹ (1.0909 / 2.8189)
θ = 21.16º
Evaluate for f(-4)
F(x) =3x2 -5 +7
Answers
Answer: -4f=8
Explanation:
An object A is placed 12cm in front of a concave mirror M₁ of focal length 8cm and a plane mirror M₂ is placed 30cm in front of the concave mirror as shown in Figure 1 The object A is first reflected by M₁and then reflected by M₂ to get an image 1₂. What is the distance between 1₂ and the object A？
Answers
According to the question the distance between the object A and the image 1₂ is 6 cm.
What is distance?Distance is the measure of how far apart two objects, points, or locations are from one another. Distance can be measured in linear units such as feet, meters, or kilometers, or angular units such as degrees. The concept of distance is a fundamental concept in mathematics, physics, and other sciences. Distance is used to calculate the speed and velocity of objects, as well as the force of gravity between two objects.
The distance between the object A and the image 1₂ can be calculated using the mirror equation.
Mirror equation: 1/d₁ + 1/d₂ = 1/f
Where d₁ is the object distance, d₂ is the image distance, and f is the focal length of the mirror.
In this case, d₁ = 12 cm, d₂ = ? and f = 8 cm.
Substituting these values into the equation gives us:
1/12 + 1/d₂ = 1/8
Rearranging the equation gives us:
1/d₂ = 1/8 – 1/12
Plugging in the values gives us:
1/d₂ = 1/8 – 1/12 = 1/6
Solving for d₂ gives us:
d₂ = 6 cm
Therefore, the distance between the object A and the image 1₂ is 6 cm.
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electric field due to on the surface of the charge sphere
Answers
Explanation:
static electricity draws energy
the process by of cell division in which one parent cell produces two identical daughter cells is
Answers
Answer:
Mitosis
Explanation:
Mitosis is a process of nuclear division in eukaryotic cells that occurs when a parent cell divides to produce two identical daughter cells. During cell division, mitosis refers specifically to the separation of the duplicated genetic material carried in the nucleus.
What is the power in watts of a 2.30 ✕ 10^2 MV lightning bolt having a current of 1.99 ✕ 10^4 A?
Answers
Given:
The potential difference between the bolt is
\(\begin{gathered} V=2.30\times10^2\text{ MV} \\ =2.30\times10^8\text{ V} \end{gathered}\)The current is
\(I=1.99\times10^4\text{ V}\)To find:
The power
Explanation:
The power is
\(\begin{gathered} P=VI \\ =2.30\times10^8\times1.99\times10^4 \\ =4.58\times10^{12}\text{ W} \end{gathered}\)Hence, the power is
\(4.58\times10^{12}\text{ W}\)