Question

To what potential should you charge a $1.0mF$capacitor to store $1.0J$of energy ?

Short answer

The required potential is $1.4kV$.

Step-by-step solution

Given information 

We have given that $1.0mF$capacitor stores energy $1.0J$of energy.

We need to find the potential.

Explanation

The formula for voltage. We're given $U\left(1J\right)$,and$C\left(1\mu F\right)$

$U=\frac{1}{2}C{V}^2\to V=\sqrt{\frac{2U}{C}}$

Using the given values in the above formula, we get

localid="1648664182926" $V=\sqrt{\frac{\left(2\right)\left(1\right)J}{1\times {10}^{-6}}}=1.4V$.