Question

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

Answer 1

Answer:

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

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.