9. An electric potential field is produced by point charges 1 mC and 4 mC located at (-2, 1, 5) and (1, 3, -1), respectively. The energy stored in the field is (a) 2.57 mJ (b) 5.14 mJ (c) 10.28 mJ (d) None of the above

9. An electric potential field is produced by point charges 1 mC and 4 mC located at (-2, 1, 5) and (1, 3, -1), respectively. The energy stored in the field is (a) 2.57 mJ (b) 5.14 mJ (c) 10.28 mJ (d) None of the above

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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Question

9. An electric potential field is produced by point charges 1 mC and 4 mC located at
(-2, 1, 5) and (1, 3, -1), respectively. The energy stored in the field is
(a) 2.57 mJ
(b) 5.14 mJ
(c) 10.28 mJ
(d) None of the
above

Expert Solution

Step 1

Between charges

Displacement vector = (1+2)i + (3-1)j + (-1-5) k

= 3i + 2j -6k

So, distance between charges

r = √(3^2+2^2+6^2) = 7 m

Now, potential energy of system = Kq1q2/r

= (9×10^9×10^-3×4×10^-3)/7

= 5.14 × 10^3 J

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