The circuit shown in the figure is a series LCR circuit connected to an AC source. This circuit has many important applications in practical electronic systems. In the given circuit, `L = 20 mH` and frequency of applied alternating potential difference is `omega = 8000 rad//s`. Initial phase of applied potential difference has such a minimum value that initial value of instantaneous potential difference is half of is peak value while initial phase of current in the circuit has such a minimum value that initial value of instantaneous current equals its peak value. We also observe that current in the circuit leads the net voltage across the circuit. It is given that peak values of potential difference across R and L are I `V_(R)( peak))= 25 V`
`V(L)_(peak)= 20 V`


Instantaneous potential difference across the inductor can be expressed as

Options

A. `V_(L)=20tan(8000t)`
B. `V_(L)=20sin(8000t+pi//2)`
C. `v_(L)=20sin(8000t+pi)`
D. `v_(L)=20cos(8000t)`

Answer

C