An inductive circuit contains a resistance of 10 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

Correct answer: B. 0.16 ~A Here, R=10 , L=2 H , V=120 ~V, v=60 ~Hz X_L=ω L=2 π v L=2 × (22)/(7) × 60 × 2=754.3 Z= R^2+X_L^2 = 10^2+(754.3)^2 =754.35 I_V=(V)/(Z)=(120)/(754.3) ~A=0.16 ~A

AIIMS 2014

Exam: AIIMS
Year: 2014
Subject: Physics
Chapter: Alternating Current

AIIMS 2014 · Physics · Alternating Current

An inductive circuit contains a resistance of 10 and an inductance...

An inductive circuit contains a resistance of

10 \Omega

and an inductance of

2 \mathrm{H}

. If an

\mathrm{AC}

voltage of

120 \mathrm{~V}

and frequency

60 \mathrm{~Hz}

is applied to this circuit, the current would be nearly

Options

A $0.72 \mathrm{~A}$
B $0.16 \mathrm{~A}$
C $0.48 \mathrm{~A}$
D $0.80 \mathrm{~A}$

Correct answer

B. $0.16 \mathrm{~A}$

Step-by-step solution

Here,

R=10 \Omega, L=2 \mathrm{H}

V=120 \mathrm{~V}, \mathrm{v}=60 \mathrm{~Hz}

X_L=\omega L=2 \pi v L=2 \times \frac{22}{7} \times 60 \times 2=754.3 \Omega

Z=\sqrt{R^2+X_L^2}=\sqrt{10^2+(754.3)^2}=754.35 \Omega

I_V=\frac{V}{Z}=\frac{120}{754.3} \mathrm{~A}=0.16 \mathrm{~A}

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