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Using the symmetry of the arrangement, show that the net

Chapter 18, Problem 25

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QUESTION:

Using the symmetry of the arrangement, show that the net Coulomb force on the charge \(q\) at the center of the square below (Figure \(18.46\)) is zero if the charges on the four corners are exactly equal.

Figure \(18.46\) Four point charges \(q_{\mathrm{a}}, q_{\mathrm{b}}, q_{\mathrm{c}}\), and \(q_{\mathrm{d}}\) lie on the corners of a square and \(q\) is located at its center.

Equation Transcription:

Text Transcription:

q

18.46

q_a, q_b, q_c, q_d

Questions & Answers

QUESTION:

Using the symmetry of the arrangement, show that the net Coulomb force on the charge \(q\) at the center of the square below (Figure \(18.46\)) is zero if the charges on the four corners are exactly equal.

Figure \(18.46\) Four point charges \(q_{\mathrm{a}}, q_{\mathrm{b}}, q_{\mathrm{c}}\), and \(q_{\mathrm{d}}\) lie on the corners of a square and \(q\) is located at its center.

Equation Transcription:

Text Transcription:

q

18.46

q_a, q_b, q_c, q_d

ANSWER:

Solution 25CQ

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