An inductive circuit contains a resistance of 10 Ω and an inductance of 2 H. If an AC voltage of 120 V and frequency 60 Hz is applied to this circuit, the current would be nearly

Question

An inductive circuit contains a resistance of 10 Ω and an inductance of 2 H. If an AC voltage of 120 V and frequency 60 Hz is applied to this circuit, the current would be nearly (A) 0.72 A (B) 0.16 A (C) 0.48 A (D) 0.80 A

Tardigrade Admin · Accepted Answer

Here, R=10 Ω, L=2 H, V =120 V , v =60 Hz XL=ω L=2 π v L=2 × (22/7) × 60 × 2=754.3 Ω Z=√R2+XL2=√102+(754.3)2=754.35 Ω IV=(V/Z)=(120/754.3) A=0.16 A

Q. An inductive circuit contains a resistance of $10 Ω$ and an inductance of $2 H$ . If an $A C$ voltage of $120 V$ and frequency $60 Hz$ is applied to this circuit, the current would be nearly

0.72 A

0.16 A

0.48 A

0.80 A

Here, $R = 10 Ω, L = 2 H$ ,
$V = 120 V, v = 60 Hz$
$X_{L} = ω L = 2 π vL = 2 \times \frac{22}{7} \times 60 \times 2 = 754.3 Ω$
$Z = R^{2} + X_{L}^{2} = 1 0^{2} + (754.3)^{2} = 754.35 Ω$
$I_{V} = \frac{V}{Z} = \frac{120}{754.3} A = 0.16 A$

Q. An inductive circuit contains a resistance of 10Ω and an inductance of 2H. If an AC voltage of 120V and frequency 60Hz is applied to this circuit, the current would be nearly