Use the output parameter to find the element type, which is the one other than the generator in the circuit. Output voltage is given by `E = E_m sin (omegat - pi/4)` and the output current is given by `i = i_m sin (omegat – (3pi)/4)`. The element is a

Options

A. capacitor
B. a resistor
C. an inductor
D. not possible to decide due to lack of information

Answer

C

Explanation

E will be maximum when `Sin(omegat-pi/4)=1`
`omegat-pi/4 =pi/2+2npi, n in Z`
`implies omegat = (3pi)/4 +2npi`
I will be maximum when
`Sin(omegat-pi/4)=1`
`omegat-(3pi)/4 =pi/2+2npi, n in Z`
`implies omegat = (5pi)/4 +2npi`
From the two equations given above it is seen that the current is lagging behind the voltage by a phase difference of , hence the circuit should contain only an inductor