Question

An LCR series circuit is connected to $240$V A.C. supply. At resonance, the values of $V_R,V_L$ and $V_C$ are respectively.

• A. $80$V, $80$V and $80$V
• B. $120$V, $60$V and $60$V
• C. $240$V, $120$V and $120$V
• D. $180$V, $40$V, $40$V

Answer 1

Answer: (C)

$240$V, $120$V and $120$V

Supplied voltage $V_o=\sqrt{V_R^2+(V_L-V_C{)}^2}$
where $V_o=240V$
At resonance, $V_L=V_C$
$⟹V_R=V_o=240V$
Hence option C is correct.