The energy stored in a capacitor is given by: [tex]U= frac{1}{2}CV^2 [/tex] where U is the energy C is the capacitance V is the potential difference

The capacitor in this problem has capacitance [tex]C=3.0 mu F = 3.0 cdot 10^{-6} F[/tex] So if we re-arrange the previous equation, we can calculate the potential V that should be applied to the capacitor to store U=1.0 J of energy on it: [tex]V= sqrt{ frac{2U}{C} }= sqrt{ frac{2 cdot 1.0 J}{3.0 cdot 10^{-6}F} }=816 V [/tex]

## Answers ( 1 )

The energy stored in a capacitor is given by:

[tex]U= frac{1}{2}CV^2 [/tex]

where

U is the energy

C is the capacitance

V is the potential difference

The capacitor in this problem has capacitance

[tex]C=3.0 mu F = 3.0 cdot 10^{-6} F[/tex]

So if we re-arrange the previous equation, we can calculate the potential V that should be applied to the capacitor to store U=1.0 J of energy on it:

[tex]V= sqrt{ frac{2U}{C} }= sqrt{ frac{2 cdot 1.0 J}{3.0 cdot 10^{-6}F} }=816 V [/tex]