Question
If an $$LCR$$ series circuit is connected to an $$ac$$ source, then at resonance the
A.
voltage across $$R$$ is zero
B.
voltage across $$R$$ equals the applied voltage
C.
voltage across $$C$$ is zero
D.
voltage across $$L$$ equals the applied voltage
Answer :
voltage across $$R$$ equals the applied voltage
Solution :
In series $$RLC$$ circuit,
Voltage, $$V = \sqrt {V_R^2 + {{\left( {{V_L} - {V_C}} \right)}^2}} $$
And, at resonance, $${V_L} = {V_C}$$
Hence, $$V = {V_R}$$