Question

three identical capacitor, `A, B and C` are charged to the same potential and then made to discharge through three resistance `R_(A) gt R_(B) gt R_(C)`. Their potential differnece `(V)` are plotted against time `t`, giving the curves `1, 2 ,and 3`. Choose the incorrect option.

A. `1 rarr A`
B. `2 rarr B`
C. `1 rarr C`
D. `3 rarr A`

Answer 1

Correct Answer - A
`q=q_(0)e^(-t//RC)`
`=CV_(0) e^(-t//(RC))`
`V_(C) = q/C = V_(0)e^(-t//(RC)) = V_(0)//e^(t//(RC))`
Heigher value of `R i.e., e^(t//(RC))` is smaller i.e., `V_(C)` is heigher.

`V_(3) gt V_(2) gt V_(1)`
`3 rarr A, 2 rarr B, 1 rarr C` .