Question

Calculate the Inductance of a coil of resistance 30ohms connected to a 100V ac source if the coil draws a R.m.s current of 2A....
A. 0.60H
B. 2.50H
C. 1.25H
D. 0.04H

Answer 1

Correct Answer: Option D

Answer 2

(D)The Inductance of a coil is 0.04 H.

Explanation:

In question frequency is missing, missing part: COIL is connected with 100 Hz. frequency ac source

Given the resistance of the coil, R = 30 ohm.

The voltage , V =100 V.

The rms current, = 2 A.

Use ohm`s law to calculate the current,

V =I R

100 V = 30 ohm x I

I = 3.3 A,

Therefore inductive reactance,

$X_L=\frac{V}{I} =\frac{100}{3.3} =30\Omega$.

Now to calculate the inductance, use the formula as

$X_L=2\pi f L$

here, f is the frequency.

substitute the values, we get

$30\Omega=2\times3.14\times100Hz\times L$

L = 0.04H

Thus, the Inductance of a coil is 0.04 H.

#Learn More: inductance.

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