Question

In the given series LCR circuit, the voltmeter and ammeter readings are

• A. V = 100 V; i = 5 A
• B. V = 100 V ;i = 4 A
• C. V = 100 V ;i = 2 A
• D. V = 300 V ;i = I A

Answer 1

The correct option is C

V = 100 V ;i = 2 A

$V_L=V_C$

$\Rightarrow$ $X_L=X_C$ $\Rightarrow$ The L – C – R circuit is in resonance condition.

$\therefore$ The series L – C – R circuit behaves like a pure resistor circuit, where the potential drop across resistor is equal to the applied ac voltage.

$\therefore V_R=100V$

And current through the circuit $=i_0=\frac{V_R}{R}=\frac{100}{50}=2A$