MHT CET202620 April 2026Evening ShiftPhysicsAlternating CurrentActual
Given below are the two circuits, choose the correct option.
Options
- AAt resonance, current in (B) is less than that in (A)
- BThe r.m.s. current in (B) can be larger than that in (A)
- CThe r.m.s. current in (A) is always equal to that in (B)
- DThe r.m.s. current in (B) can never be larger than that in (A)
Correct answer
D. The r.m.s. current in (B) can never be larger than that in (A)
Step-by-step solution
For circuit (A), the impedance is purely resistive: Z_A = R = 30 The r.m.s. current in circuit (A) is: I_A = V_ rms Z_A = V_ rms R For circuit (B), which is a series LCR circuit, the impedance is given by: Z_B = R^2 + (X_L - X_C)^2 Since the square of any real number is non-negative, (X_L - X_C)^2 0 . Therefore, the impedance of circuit (B) will always be greater than or equal to the resistance R : Z_B R Z_B Z_A The r.m.s. current in circuit (B) is: I_B = V_ rms Z_B Since V_ rms is the same for both circuits ( 210