Question

If a 10 F capacitor is to have an energy content of
20 J, it must be placed across a potential
difference of?

Answer 1

Answer:

6325 volts

Explanation:

The voltage required on a capacitor for it to store a particular amount of energy depends on the capacitance of the capacitor. The energy stored on a capacitor is:

Energy = (1/2)*C*V^2.

Solving for V gives: V = square root( 2*Energy/C).

So, if a capacitor of 1 Farad stores 20 Joules, then it presents a voltage of:

V = square root(2*20/1) = square root of 40 = 6.325 volts.

A one microfarad capacitor must be charged to 6325 volts to store that same amount of energy