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WAEC Physics 2022 Paper

Question : 26

Total: 50

50 \text{ V}, 100 \text{ Hz}

\pi=3.14]

Solution:

Concept:

For an AC circuit containing only an inductor, the current is limited by the inductive reactance

X_L

Explanation:

Write the inductive reactance formula:

X_L = 2\pi f L

Substitute

f = 100\ \text{Hz}

L = 10\ \text{H}

, and

\pi = 3.14

X_L = 2 \times 3.14 \times 100 \times 10 = 6280\ \Omega

Use Ohm's law for the AC circuit:

I = \frac{V}{X_L}

Substitute

V = 50\ \text{V}

and

X_L = 6280\ \Omega

I = \frac{50}{6280} = 0.00796\ \text{A}

Rounding gives:

I \approx 0.008\ \text{A}

Answer:

The current in the circuit is approximately

0.008\ \text{A}

, which corresponds to option D.

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