Capacitor 2 has half the capacitance and twice the potential difference as capacitor 1. what is the ratio (u_{\rm c})_1/\,(u_{\rm c})_2.

1/2

Explanation:

The energy stored in a capacitor is given by

where

C is the capacitance

V is the potential difference

Calling the capacitance of capacitor 1 and its potential difference, the energy stored in capacitor 1 is

For capacitor 2, we have:

- The capacitance is half that of capacitor 1:

- The voltage is twice the voltage of capacitor 1:

so the energy stored in capacitor 2 is

So the ratio between the two energies is

do you have a formula possibly

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