Question

Three charges of .1c each are placed at the corners of an equilateral triangle each of side 1 m

Answer 1

Answer:

Explanation:

all charges are positive.

the length of each side of the triangle is 1m.

Let θ is angle of moving-charge path with respect to direction of static-charge.

work done by external force is :

dW = -2F cos θ (dr/cos θ).............from r = 1 to r = 0.5

dW = -2F dr.............from r = 1 to r = 0.5

dW = -2 k q²/r² dr.............from r = 1 to r = 0.5

W = -2 k q² ∫ (1/r²) dr.............from r = 1 to r = 0.5

W = 2 k q² (1/r) ...............from r = 1 to r = 0.5

W = 2 (9 E9) (0.1)² [1/0.5 - 1/1]

W = 1.8 E8 J

t = W/P = 1.8 E8/1000

t = 1.8 E5 s

t = 2.08 days

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