Question Detail

PHY 102 Last Minute Prep Objective Question

Question

A capacitor of 22μF and a resistor of 200Ω are connected in series across a 12V, 50Hz source. Calculate the impedance of the circuit.
Options
A 100.0Ω
B 152.6Ω
C 212.5Ω
D 246.9Ω
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

X_C = 1/(2πfC) = 144.7Ω. Z = √(R² + X_C²) = √(200² + 144.7²) = 246.9Ω

Hint

Impedance in an RC circuit is the vector sum of resistance and reactance.

Question Info