The charge distribution in a typical thundercloud is such that the bottom of the cloud is negative while the top layer of the cloud is positive. This can be modeled as shown in the (not to scale!) Figure above. The presence of these charges in the cloud induces electrical charges on the ground. Assuming the ground is a conductor it can be shown that the charges in the ground are the mirror image (changing the sign of the charge!) of the charges in the thundercloud, as shown in the Figure. a. Determine the direction and magnitude of the electric field at point P1, which is just above the ground, directly below the thundercloud as shown. b. On the diagram, clearly indicate the direction of the electric field at point P2, which is 1~km horizontally away from P1. How does the magnitude of the field at point P2 compare with the magnitude of the field at point P1? Justify your answer. c. If the potential at infinity is zero determine the potential points P1 and P2.

The charge distribution in a typical thundercloud is such that the bottom of the cloud is negative while the top layer of the cloud is positive. This can be modeled as shown in the (not to scale!) Figure above. The presence of these charges in the cloud induces electrical charges on the ground. Assuming the ground is a conductor it can be shown that the charges in the ground are the mirror image (changing the sign of the charge!) of the charges in the thundercloud, as shown in the Figure. a. Determine the direction and magnitude of the electric field at point P1, which is just above the ground, directly below the thundercloud as shown. b. On the diagram, clearly indicate the direction of the electric field at point P2, which is 1~km horizontally away from P1. How does the magnitude of the field at point P2 compare with the magnitude of the field at point P1? Justify your answer. c. If the potential at infinity is zero determine the potential points P1 and P2.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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An electrostatic force is a force caused by stationary electric charges /fields. The electrostatic force is caused by the transfer of electrons in conducting materials. Coulomb’s law determines the amount of force between two stationary, charged particles. The electric force is the force which acts between two stationary charges. It is also called Coulomb force.

Question

3 km
3 km
-30 C
P1
+30 C
+30 C
P2
-30 C
2 km
2 km
The charge distribution in a typical thundercloud is such that the bottom of the cloud is negative while the top layer of the cloud is positive. This can be modeled as shown in the (not to scale!) Figure above. The presence of these charges in the cloud induces
electrical charges on the ground. Assuming the ground is a conductor it can be shown that the charges in the ground are the mirror image (changing the sign of the charge!) of the charges in the thundercloud, as shown in the Figure.
a. Determine the direction and magnitude of the electric field at point P1, which is just above the ground, directly below the thundercloud as shown.
b. On the diagram, clearly indicate the direction of the electric field at point P2, which is 1~km horizontally away from P1.
How does the magnitude of the field at point P2 compare with the magnitude of the field at point P1? Justify your answer.
c. If the potential at infinity is zero determine the potential at points P1 and P2.
d. What is the electric potential at a height of 1~km above P1?

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