Question

In an LCR series circuit, the source of emf is E=30sin(100t), R=120Ω, L=100mH, C=100μF.
(A) The numerical value of impedance 
(B) The numerical value of resistance R 
(C) The numerical value of capacitive reactance 
(D) The numerical value of inductive reactance.
Arrange the values of quantities mentioned in (A, B, C, D) in increasing order.

• A. (A), (B), (C), (D)
• B. (A), (C), (B), (D)
• C. (B), (A), (D), (C)
• D. (D), (C), (B), (A)

Answer 1

The Correct Option is C

\(\text{ To solve this, we need to compute:} \\\)
\(- \text{ The capacitive reactance } X_C = \frac{1}{\omega C}, \\\)
\(- \text{ The inductive reactance } X_L = \omega L, \\\)
\(- \text{ The impedance } Z = \sqrt{R^2 + (X_L - X_C)^2}. \\\)

\(\text{Where } \omega = 100 \, \text{rad/s}. \text{ After calculating each value, we can arrange them in increasing order.}\)