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