An inductive circuit contains a resistance of 10 Ω and an inductance of 2.0 H . Ifan AC voltage of 120 ~V and frequency of 60 ~Hz is applied to this circuit, the current in the circuit would be nearly

Correct answer: (B) 0.16 ~A. Here, impedence z=√R^2+X_L^2 ∴ √(10)^2+(2 π × 60 × 2)^2=753.7 ∴ Current i=V/Z=120/753.7=0.159 ~A

Q95 / 120 · VITEEE 2011 · Physics

An inductive circuit contains a resistance of $10 \Omega$ and an inductance of $2.0 \mathrm{H}$. Ifan $\mathrm{AC}$ voltage of $120 \mathrm{~V}$ and frequency of $60 \mathrm{~Hz}$ is applied to this circuit, the current in the circuit would be nearly

A
$0.32 \mathrm{~A}$
Correct answer
B
$0.16 \mathrm{~A}$
C
$0.43 \mathrm{~A}$
D
$0.80 \mathrm{~A}$

Solution

Here, impedence $\mathrm{z}=\sqrt{R^{2}+X_{L}^{2}}$ $\therefore \sqrt{(10)^{2}+(2 \pi \times 60 \times 2)^{2}}=753.7$ $\therefore$ Current $\mathrm{i}=\frac{V}{Z}=\frac{120}{753.7}=0.159 \mathrm{~A}$

Hence, the correct answer is option: 'B'.

Relevant Questions

Which of the following graphs represents the correct variation of inductive reactance with angular frequency ?2024AC Circuits
In A.C. circuit in which inductance and capacitance are joined in series. Current is found to be maximum when the value of inductance is \(02023AC Circuits
In a series $L C R$ circuit the frequency of a $10 {~V}$ a.c. voltage source is adjusted in such a fashion that the reactance of the ind2023AC Circuits
For a series RLC circuit . The impedance of the circuit and phase difference between and I respectively will be2019AC Circuits
Two coils have a mutual inductance . The current changes in the first coil according to equation , where and radian . The maximum value of e2018AC Circuits
An alternating voltage of frequency is applied across a capacitor of capacitance . The impedence of the circuit is2018AC Circuits