The energy of a `2muF` capacitor, charged to a potential difference of 100 V, is more than the energy gained by a `2muC` charge moved through a potential difference of 200 V. (Write Yes or No)

Explanation

Yes ,
Case I Capacitance, `C=2muF`
Poential differnce, `V=100V`
Energy stored in a capacitor, `E_(1)=1/2"CV"^(2)`
`=1/2xx2xx210^(-6)xx10^(4)`
`E_(1)=10^(-2)J`
`E_(1)=0.01J`
Case II Charge, `q=2muC`
Potential difference, `V=200V`
Energy stored in capacitor, `E_(2)=1/2qV`
`=1/2xx2xx10^(-6)xx200=2xx10^(-4)`
`E_(2)=0.0002J`
On comparing `E_(1)` with `E_(2)`, we get
`E_(1)gt E_(2)`