In the above problem further choose the correct options.

Options

A. The given values are at frequency less than the resonance frequency
B. The given values are at frequency more than the resonance frequency
C. If frequency is increased from the given value, impedance of the circuit will increase
D. If frequency is decreased from the given value, current in the circuit may increase or decrease

Answer

B, C, D

Explanation

(b) At resonance frequency `(omega_r)`
`X_LgtX_C`
In the given values `X_LgtX_C`. Hence
`omegaltomega_r`
As, `X_L=omegaLimpliesX_Lpropomega`
As `X_L=omegaLimpliesX_Lpropomega`
and `X_C=1/(omegaC)impliesX_Cprop1/omega`
(c) If frequency is increased from the given value, `X_L` will further increase. So, `X_L-X_C` will increase. Hence, net impedance will decrease.
(d) If frequency is decreased from the given value., then `X_C` will increase and `X_L` will decrease.
So, `X_L-X_C` may be less than the previous value of `X_C-X_L` may be greater than the previous. So `Z` may either increase or decrease Hence, current may decrease or increase.