How much work is required to set up the four-charge configuration of the figure if q-6.32...

Question

Question

How much work is required to set up the four-charge configuration of the figure if q-6.32 pC, a = 47.9 cm. and the particles

Answer 1

Answer #1

Given,

q = 6.32 pC ; a = 47.9 cm

The amount of work required will be equal to the potential energy of the given arrangement.

We know that

U = k q1q2/r12

for the given set up

distance between 2 +q and 2-q = sqrt(2) a

U = -k q^2/a + kq^2/sqrt(2)a + k q^2/sqrt(2)a - k q^2/a - kq^2/a - kq^2/a

U = k q^2/a (-1 + 1/sqrt(2) -1 - 1 + 1/sqrt(2) - 1)

U = k q^2/a x -2.586

U = 9 x 10^9 x (6.32 x 10^-12)^2/0.479 x -2.586 = -1.94 x 10^-12 J

Hence, U = -1.94 x 10^-12 J

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Answer 2

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