Test Index

JAMB Physics 2015 Paper

© africaexams.com

Question : 4

Total: 66

What is the inductance (L) of an inductor whose reactance is 1Ω at 50/ π hertz (H)?

100 H
0.01H
10H
1H

Solution:

Concept:

Inductive reactance is the opposition of an inductor to alternating current, given by

X_L = 2\pi f L

.

Explanation:

The formula for inductive reactance is

X_L = 2\pi f L

Given values:

X_L = 1\,\Omega

and

f = \frac{50}{\pi}\,\text{Hz}

Substitute into the formula:

1 = 2\pi \times \frac{50}{\pi} \times L

Simplify:

1 = 2 \times 50 \times L

1 = 100L

Divide both sides by 100:

L = \frac{1}{100} = 0.01\,\text{H}

Answer:

The inductance is

0.01\,\text{H}

, which is option B.

© africaexams.com

Go to Question:

Prev Question

Next Question