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

Respuesta :

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;

[tex]Z = \sqrt{R^2 + X_l^2} \\\\Z = \sqrt{500^2 + 220^2} \\\\Z = 546.26 \ ohms[/tex]

The current in the AC circuit is calculated as follows;

[tex]I = \frac{V}{Z} \\\\I = \frac{60}{546.26} \\\\I = 0.11 \ A[/tex]

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

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