In an L C R series circuit, if the angular frequency is gradually… - Vidyadip

MCQ

In an $L C R$ series circuit, if the angular frequency is gradually increased then match the following columns

Column-1		Column-2
A.	Capacitive reactance	i.	will continuously increase
B.	Inductive reactance	ii.	will remain constant
C.	Resistance	iii.	will first decrease and then increase
D.	Total impedance	iv.	will continuously decrease

A
-(i), (B)-(iii), (c)-(iv), (D)-(ii)
✓
(A)-(iv), -(i), (c)-(ii), (D)-(iii)
C
(A)-(i), (B)-(iv), -(ii), (D)-(iii)
D
(A)-(ii), (B)-(iii), (c)-(i), -(iv)

✓

Answer

Correct option: B.

(A)-(iv), -(i), (c)-(ii), (D)-(iii)

(b) : As $X_C=\frac{1}{\omega C}$ i.e. $X_C \propto \frac{1}{\omega}$
As $\omega$ increased, $X_C$ decreases.
$
X_L=\omega \text { Li.e., } X_L \propto \omega
$
As $\omega$ increases, $X_L$ will be increases.
- $R$ is will not be affected as it is not a function of $\omega$.
- Total impedance will be minimum at resonance.

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