Question

An inductive circuit contains a resistance of 100 \( \Omega \) and an inductance of 0.2 H. If an AC voltage of 120 V and frequency of 60 Hz is applied to this circuit, the current in the circuit would be nearly:

• A. 0.32 A
• B. 0.16 A
• C. 0.43 A
• D. 0.80 A

Hint:

The current in an inductive circuit is determined by the impedance, which depends on both resistance and inductive reactance.

Answer 1

The Correct Option is B

Step 1: Use the formula for current in an inductive circuit.
The impedance of the circuit is given by: \[ Z = \sqrt{R^2 + (X_L)^2} \] where \( X_L = 2\pi f L \) is the inductive reactance.
Step 2: Calculate the current.
Substituting the values into the formula for current: \[ I = \frac{V}{Z} \] we get the current \( I = 0.16 \, \text{A} \).
Final Answer: \[ \boxed{0.16 \, \text{A}} \]