Which of the following statements is correct regarding the AC circuit shown in the adjacent figure?

Options

A. The rms value of current through the circuit is `underset(rms)(i)` = 5`sqrt 2` A
B. The phase difference between source emf and current is ` ` = `cos^(-1)` (1/3)
C. Avereage power dissipated in the circuit is 500 W
D. None of the above

Answer

D

Explanation

`X_C = X_L`
`therefore Z = R =2Omega implies I_rms = V_rms/Z = 10sqrt 2/2 = 25sqrt 2` A
Phase difference will be zero.
Average power = `V_rmsI_rms cosphi = 100/sqrt 2 xx 25sqrt 2 xx cos 0^(@)`
= 2500 W