Question

Two uncharged metal spheres, spaced 25.0 cm apart, have a capacitance of 26.0 pF. How much work would it take to move 12.0 nC of charge from one sphere to the other? Answer in Joules.

Answer 1

`W=2.76* 10^(-6)\ J`

Step-by-step explanation:

Given that,

The distance between two spheres, r = 25 cm = 0.25 m

The capacitance, C = 26 pF = 26×10⁻¹² F

Charge, Q = 12 nC = 12 × 10⁻⁹ C

We need to find the work done in moving the charge. We know that, work done is given by :

`U=(Q^2)/(2C)`

Put all the values,

`U=((12* 10^(-9))^2)/(2* 26* 10^(-12))\\\\U=2.76* 10^(-6)\ J`

So, the work done is
`2.76* 10^(-6)\ J`.