Question

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

Answer 1

`\left | Z_(in)} \right | = 524.72 \approx  525`ohm

Step-by-step explanation:

Given data:

capacitor = 0.5 micro farad

resistor = 500 ohm

Frequency = 2000 Hz

Impedance of any circuit is calculated by using following equation

`Z_(in) = Resistor - (j)/(\omega_c)`

`= 500 - (j)/(2\pi*2000*0.5 \mu)`

=500 - j 159.155

`\left | Z_(in)} \right | = √((500^2 + 159.155^2))`

`\left | Z_(in)} \right | = 524.72 \approx  525`ohm