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# (a) Twelve equal charges, q, are situated at the corners ISBN: 9780321856562 45

## Solution for problem 1P Chapter 2

Introduction to Electrodynamics | 4th Edition

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Problem 1P

Problem 1P

(a) Twelve equal charges, q, are situated at the corners of a regular 12-sided polygon (for instance, one on each numeral of a clock face). What is the net force on a test charge Q at the center?

(b) Suppose one of the 12 q’s is removed (the one at “6 o’clock”). What is the force on Q? Explain your reasoning carefully.

(c) Now 13 equal charges, q, are placed at the corners of a regular 13-sided polygon. What is the force on a test charge Q at the center?

(d) If one of the 13 q’s is removed, what is the force on Q? Explain your reasoning.

Step-by-Step Solution:

Solution

Step 1 of 4

1. We need to find out the net force on a test charge which is at the center of a regular sided polygon by equal charges which are kept at the corners of the sided polygon.

From the principle of superposition of charges, the net force on the charge is the sum of all forces by the charges acting at .

In this case the net force on charge is zero because all the forces will cancel out like force by charge at o'clock will cancel the force by charge at o'clock on the test charge .

Step 2 of 4

Step 3 of 4

##### ISBN: 9780321856562

This textbook survival guide was created for the textbook: Introduction to Electrodynamics , edition: 4. This full solution covers the following key subjects: Force, explain, Charge, Charges, clock. This expansive textbook survival guide covers 12 chapters, and 550 solutions. Since the solution to 1P from 2 chapter was answered, more than 698 students have viewed the full step-by-step answer. The answer to “(a) Twelve equal charges, q, are situated at the corners of a regular 12-sided polygon (for instance, one on each numeral of a clock face). What is the net force on a test charge Q at the center?(b) Suppose one of the 12 q’s is removed (the one at “6 o’clock”). What is the force on Q? Explain your reasoning carefully.(c) Now 13 equal charges, q, are placed at the corners of a regular 13-sided polygon. What is the force on a test charge Q at the center?(d) If one of the 13 q’s is removed, what is the force on Q? Explain your reasoning.” is broken down into a number of easy to follow steps, and 105 words. The full step-by-step solution to problem: 1P from chapter: 2 was answered by , our top Physics solution expert on 07/18/17, 05:41AM. Introduction to Electrodynamics was written by and is associated to the ISBN: 9780321856562.

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(a) Twelve equal charges, q, are situated at the corners