Question

An AC voltage source described by `V=10cos(pi/2)t` is connected to a `1muF` capacitor as shown in figureure. The key `K` is closed at `t=0`. the time `(tgt0)` after which the magntitude of current `I` reaches its maximum value for the first time is
.
A. `1s`
B. `2s`
C. `3s`
D. `4s`

Answer 1

Correct Answer - A
Current will lead the voltage function by `90^@` voltage function is cos function. Therefore current function will be `-sin` function

`t_0=T/4=((2pi/omega))/3=pi/(2omega)`
`=pi/(2(pi/2))=1s`.