Answered: Charge q1 = 8.5 nC is located at the…

An Introduction to Physical Science

14th Edition

ISBN:9781305079137

Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres

Publisher:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres

Chapter1: Measurement

Section: Chapter Questions

Problem 9MC

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Charge q₁ = 8.5 nC is located at the coordinate system origin, while charge q₂ = -6.21 nC is located at (a, 0), where a = 1.5 m. The point P has coordinates (a, b), where b = 0.65 m. A third charge q₃ = 1.5 nC will be placed later.

a) Find the electric potential V_P at point P, in volts. Assume the potential is zero at infinity.

b) How much work W, in joules, would you have to do to bring the third charge, q₃, from very far away to the point P?

Expert Solution

Step 1

$charge q_{1} = 8.5 n C location of q_{1} = (0, 0) charge q_{2} = - 6.21 n C location of q_{2} = (1.5, 0) Position coordinates of point P = (1.5, 0.65) charge q_{3} = 1.5 n C distance between q_{1} a n d P = \sqrt{{(1.5)}^{2} + {(0.65)}^{2}} = \sqrt{2.25 + 0.4225} = 1.634 m distance between q_{2} a n d P = 0.65 m$

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