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(a) Using the symmetry of the arrangement, show that the

Chapter 18, Problem 26

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QUESTION:

(a) Using the symmetry of the arrangement, show that the electric field at the center of the square in Figure \(18.46\) is zero if the charges on the four corners are exactly equal.

(b) Show that this is also true for any combination of charges in which \(q_{\mathrm{a}}=q_{\mathrm{b}}\) and \(q_{\mathrm{b}}=q_{\mathrm{c}}\)

Equation Transcription:

Text Transcription:

18.46

q_a=q_b

q_b=q_c

Questions & Answers

QUESTION:

(a) Using the symmetry of the arrangement, show that the electric field at the center of the square in Figure \(18.46\) is zero if the charges on the four corners are exactly equal.

(b) Show that this is also true for any combination of charges in which \(q_{\mathrm{a}}=q_{\mathrm{b}}\) and \(q_{\mathrm{b}}=q_{\mathrm{c}}\)

Equation Transcription:

Text Transcription:

18.46

q_a=q_b

q_b=q_c

ANSWER:

Solution 26CQ

This is true for every combination if qa

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