Which statement(s) is False for the series resonant condition

Options

A. current maximum and phase difference between `E` and `i` is `pi//2`
B. current maximum and phase difference between `E` and `i` is zero
C. voltage maximum and phase difference between `E` and `i` is zero
D. voltage maximum and phase difference between `E` and `i` is `pi//2`

Answer

A,C,D

Explanation

At resonance `X_(L) = X_(C )` and `Z = R` (minimum)
`tan phi (X_(L) - X_(C ))/(R ) = 0 implies phi = 0`
`I = (E)/(sqrt(R^(2) + (X_(L) - X_(C ))^(2))) = (E)/(R )` (maximum).
So current is maximum and in phase with applied voltage.