Question

In a series circuit R = 300 Ω, L = 0.9 H, C = 2.0 μF and ω = 1000 rad/sec. The impedance of the circuit is

• A. 1300 Ω
• B. 900 Ω
• C. 500 Ω
• D. 400 Ω

Answer 1

Answer: (C)

500 Ω

Answer 2

For series R-L-C circuit,

$Z = \sqrt{R^{2} + (X_{L} - X_{C})^{2}}$

$= \sqrt{(300)^{2} + \left( 1000 \times 0.9 - \frac{10^{6}}{1000 \times 2} \right)^{2}} = 500\Omega$