Question

The graph between capacitance of a parallel plate capacitor and charge on a capacitor is (charge is within breakdown limit of capacitor)​

Answer 1

Graph of Capacitance and Charge of parallel plate capacitor :

First of all, capacitance expression in case of a parallel plate capacitor is :

$C = \dfrac{q}{V}$

$\implies C = \dfrac{q}{E \times d}$

$\implies C = \dfrac{q}{ \dfrac{ \sigma}{ \epsilon_{0} } \times d}$

$\implies C = \dfrac{q}{ \dfrac{q}{ A \epsilon_{0} } \times d}$

$\implies C = \dfrac{ A \epsilon_{0} }{ d}$

$\implies C \propto \: {q}^{0}$

So, capacitance doesn't depend simply on charge !!!

Hence graph will be STRAIGHT PARALLEL TO X AXIS .