How do you find the current going thru the capacitor at t 0

Question

How do you find the current going thru the capacitor at t > 0

mrhoola · Answer

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kenljw · Answer

The current threw an inductor does not change instantaneously, therefore iL @t = 0- = iL @t = 0+ = 16/(3 + 5) = 2 A
The voltage across a capacitor does not change instantaneously, therefore vC @t = 0- = vC @t = 0+ = 16 {3/(3 + 5)} V = 6 V

mrhoola · Answer

wouldnt  the capacitor eventually charge to 16 volts if the switch is in position A for a very long time ?

kenljw · Answer

No, it would only charge to the voltage across the 3 ohm resistor.  To DC an inductor acts as a short and capacitor acts as an open.

mrhoola · Answer

ok , That helps me a lot . Now I can find the current thru the capacitor. When I was assuming that it was 16 V , my solution was not working out correctly thank you !