Question

An AC circuit operates at 60volts and 1000 Hz. The resistance is 500 ohms and the inductive reactance is 220 ohms. What is the current

Answer 1

The current flowing in the AC circuit is 0.11 A.

The given parameters:

• Voltage in the circuit, V = 60 V
• Resistance, R = 500 ohms
• Inductive reactance, Xl = 220 ohms
• Frequency, f = 1000 Hz

The impedance of the circuit is calculated as follows;

$Z = \sqrt{R^2 + X_l^2} \\\\Z = \sqrt{500^2 + 220^2} \\\\Z = 546.26 \ ohms$

The current in the AC circuit is calculated as follows;

$I = \frac{V}{Z} \\\\I = \frac{60}{546.26} \\\\I = 0.11 \ A$

Thus, the current flowing in the AC circuit is 0.11 A.

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