Question

A 1 μC point charge is held at the origin of a cartesian coordinate system. If a second point charge of 10 μC is moved from (0, 10, 0) to (5, 5, 5) and subsequently to (5, 0, 0), then the total work done is _________ mJ. (Round off to 2 decimal places). Take 1 4 π ε o = 9 × 10 9 in SI units. All coordinates are in meters.

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Answer :

9

Given, q1 = 1 μC, q2 = 10 μC

Let r1 be the distance the two-point charges one placed placed at (0, 0, 0) and other at (0, 10 , 0)

r1 = 10 m

Let r2 be the final distance between the two-point charges one placed at origin (0, 0, 0) and other at (5, 0, 0)

r2 = 5 m

Total work done in moving the pont charge from (0, 0, 0) to (5, 0, 0) is

W = k q 1 q 2 ( 1 r 2 1 r 1 )

W = 9 × 10 9 × 10 11 ( 1 5 1 10 )

W = 9 mJ

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