Question

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

Column I	Column II
(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

विकल्प

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

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

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

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

Answer 1

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

Explanation:

Since, capacitive reactance, X_C = `1/(2pifC)`

Inductive reactance, X_L = 2πfL

Impedance, Z = `sqrt(R^2 + (X_L - X_C)^2)`

So, if the angular frequency (ω = 2πf) is progressively increased, X_C will decline continuously, X_L will increase continuously, R will remain constant because it is independent of the angular frequency, and Z will decrease and then increase.