Question

Two capacitors are charged individually to potential 80 V and 100 V , respectively. They can store charge 20 upto `muC` and `30 muC` respectively. Find the ratio of their capacitances.

Answer 1

(i) `C = theta//V`
`C_(1) = theta_(1)//V_(1)`
`C_(2) = theta//V_(2)`
(ii) `C_(1) : C_(2) = (Q_(1))/(Q_(2)) xx (V_(2))/(V_(1)) = 2/3 xx 100/80 = 5/6`
`C_(1) :C_(2) = 5:6`