A series LCR circuit with R=20 Ω, L=1.5 H, C=35 μ F, is connected to a variable frequency of 200 V AC supply. When the frequency of the supply equals the natural frequency of the circuit, the average power transferred in one complete cycle is

Question

A series LCR circuit with R=20 Ω, L=1.5 H, C=35 μ F, is connected to a variable frequency of 200 V AC supply. When the frequency of the supply equals the natural frequency of the circuit, the average power transferred in one complete cycle is (A) 20 kW (B) 2000 W (C) 200 kW (D) 0.2 kW

Tardigrade Admin · Accepted Answer

This is the condition of resonance. Here Z=R ⇒ P=(V2/R)=((200)2/20) ; P=2000 W

Q. A series LCR circuit with $R = 20 Ω, L = 1.5 H$ , $C = 35 μ F$ , is connected to a variable frequency of $200 V$ $A C$ supply. When the frequency of the supply equals the natural frequency of the circuit, the average power transferred in one complete cycle is

20 kW

2000 W

200 kW

0.2 kW

This is the condition of resonance. Here $Z = R$
$\Rightarrow P = \frac{V ^{2}}{R} = \frac{( 200 ) ^{2}}{20}; P = 2000 W$

Q. A series LCR circuit with R=20Ω,L=1.5H, C=35μF, is connected to a variable frequency of 200V AC supply. When the frequency of the supply equals the natural frequency of the circuit, the average power transferred in one complete cycle is