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A series RC circuit contains a 0.5 microfarad capacitor and a 500 ohm resistor. The circuit is operating at a frequency of 2,000 Hz. What is the impedance of the circuit?

(A) 500 ohms
(B) 809 ohms
(C) 2,006 ohms
(D) 525 ohms

Respuesta :

Answer:

[tex]\left | Z_{in}} \right | = 524.72 \approx  525[/tex]ohm

Explanation:

Given data:

capacitor = 0.5 micro farad

resistor = 500 ohm

Frequency = 2000 Hz

Impedance of any circuit is calculated by using following equation

[tex]Z_{in} = Resistor - \frac{j}{\omega_c}[/tex]

         [tex] = 500 - \frac{j}{2\pi*2000*0.5 \mu}[/tex]

           =500 - j 159.155

[tex]\left | Z_{in}} \right | = \sqrt{(500^2 + 159.155^2)}[/tex]

[tex]\left | Z_{in}} \right | = 524.72 \approx  525[/tex]ohm

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