Question

the capacitor is initially unchanged. immediatley after the switches closes, the capacitor voltage is

Answer 1

Immediately after the switches closes, the capacitor voltage is zero.

Step-by-step explanation:

Charge on capacitor is given as;

`q_o = CV_(battery)`

after the switches closes, the charge on the capacitor is the same as before, therefore, the voltage drop in the capacitor is zero.

Apply Kirchoff's voltage rule for short term;

`q = q_o` = 0 (since it is uncharged)

`V_(battery) + IR =0`

Where;

q₀ is the charge on the capacitor before

q is the charge on the capacitor after

Therefore, immediately after the switches closes, the capacitor voltage is zero.