Given below are two statements :
Statement I : In an LCR series circuit, current is maximum at resonance.
Statement II : Current in a purely resistive circuit can never be less than that in a series LCR circuit when connected to same voltage source.
In the light of the above statements, choose the correct from the options given below :

Question

Given below are two statements :

Statement I : In an LCR series circuit, current is maximum at resonance.

Statement II : Current in a purely resistive circuit can never be less than that in a series LCR circuit when connected to same voltage source.

In the light of the above statements, choose the correct from the options given below :

G1 Physics · Accepted Answer

For a series LCR circuit: I = V/√[R² + (X(L) - X(C))²] At resonance: X(L) = X(C) Therefore: Z = R and current becomes maximum: I(max) = V/R For a purely resistive circuit connected to the same voltage: I = V/R Since an LCR circuit has impedance Z ≥ R, its current cannot exceed V/R. Hence both statements are true.