Question

A `10muF` and `20muF` capacitor are connected to a `10V` cell in parallel for some tome after which the capacitors are disconnected form the cell and reconnected at `t = 0` with each other, in series, through wires of finite resistance. The `+ve` plate of the first capacitors is connected to the `-ve` pate of the second capacitor. Draw the grpah which best describes the charge on the `+ve` plate of the `20muF` capacitor with increasing time.

Answer 1

Correct Answer - Initial condition

Final condition

`v = ("Total charge")/("Total capacity") = ((200-100)muC)/(10muF +20muK) = (10)/(3)V`
`q_(0(2muF)) = 200muC` & `q_(f(2muF))`
`= 20muF xx (10)/(3)V = (200)/(3)muC`
charge on `2muF` will decay
from `200muC` to `(200)/(3) muC` exponentially