MHT CET Medical202624 April 2026Evening ShiftPhysicsAlternating CurrentActual
In an LCR series circuit, at resonance,
Options
- Athe voltage across R is zero.
- Bthe voltage across R equals to applied voltage.
- Cthe voltage across C is zero.
- Dthe voltage across C equals applied voltage.
Correct answer
B. the voltage across R equals to applied voltage.
Step-by-step solution
In an LCR series circuit, the total applied voltage V is given by V = V_R^2 + (V_L - V_C)^2 . At resonance, the inductive reactance equals the capacitive reactance ( X_L = X_C ), which implies the voltage across the inductor equals the voltage across the capacitor ( V_L = V_C ). Substituting V_L = V_C in the voltage equation, we get V = V_R^2 + 0 = V_R . Thus, the voltage across the resistor R is equal to the applied voltage. Answer: the voltage across R equals to applied voltage.