An alternating emf of frequency `f = 50 Hz` peak voltage `V_(0) = 21` volt is applied to a series circuit of resistance `R = 20` ohm, an inductance `L = 100 mH` and a capacitor of `C = 30 mu F`.
(a) The maximum currentd is `3 A`
The phase difference between current and applied voltage is `75^(@)`
(c ) The current `i` as a function of time `'t'` is `i = 3 sin (314 t + 75^(@))`

Options

A. Only (a),(b) are correct
B. Only (b),(c ) are correct
C. (a),(b),(c ) are correct
D. (a),(b),(c ) are wrong

Answer

C

Explanation

`i_(0) = (V_(0))/(sqrt(R^(2) + (omega L - (1)/(omega C))^(2))) , phi = tan^(-1) ((omega ~ (1)/(omega C))/(R ))`
`i = i_(0) sin (omega t + phi)`