Question

a capacitor stores energy u1 when it holds charge Q .The same capacitor stores energy u2 when it holds charge 16 Q what is the ratio between u2/u1 the answer is 256 why ?

Answer 1

Ratio between U₂/U₁ = 256

Step-by-step explanation:

Energy stored in a capacitor is given by

`U=(1)/(2)(Q^2)/(C)`

where Q is the charge and C is the capacitance.

We have

`U_1=(1)/(2)(Q^2)/(C)`

and

`U_2=(1)/(2)((16Q)^2)/(C)=(1)/(2)(256Q^2)/(C)`

So,

`(U_2)/(U_1)=((1)/(2)(256Q^2)/(C))/((1)/(2)(Q^2)/(C))=256`

Ratio between U₂/U₁ = 256