Question

Two charges, of magnitude 5 nC and - 2 nC, are
placed at points (2 cm, 0, 0) and (x cm, 0, 0) in
region of space, where there is no other externa
field. If the electrostatic potential energy of the
system is -0.5 ut, what is the value of x ?​

Answer 1

The value of x is 20 cm.

Explanation:

U = 1/4πε x q1q2/r

Let's say

r = x -2

Now put the values

- 0.5 x 10^-6 = 9 x 10^9 x 5 x 10^-9 x (-2 x 10^-9)/ (x -2) x 10^-2

- 0.5 x 10^-6   = -9 x 10^-9/(x -2) x 10^-2

- 0.5 x 10^-6  = -9 x 10^-6/(x -2)

0.5 = 9/x-2

x-2 = 18

x = 20 cm

The value of x is 20 cm.

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