Three charges of +0.1c each is placed at the corners of an equilateral triangle, 1m side. if energy is supplied at the rate of 1kw, how many days would be required to move one of the charges to the mid point of the line joining the other two
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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
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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