If the reading of the voltmeters vary with time as: `V_(1) = 20 sin omega t` and `V_(2) = - 20 cos (omega t + (pi)/(6))` then the unknown circuit element `x` is a:

Options

A. pure (or ideal) inductor
B. practical inductor
C. pure (or ideal) capacitor
D. practical capacitor

Answer

D

Explanation

`i = (20)/(R) sinomegat`
`V_(2) = -20 sin ((pi)/(2)-(omegat + (pi)/(6)))`
`rArr - 20sin ((pi)/(3)-omegat) rArr 20 sin (omegat-(pi)/(3))`
V is lagging behind I by `(pi)/(3)`
x as practical capacitor not the ideal because phase diff. between V and `i ne (pi)/(2)`