Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 12

# The Reactance of a Circuit is Zero. It is Possible that the Circuit Contains - Physics

Short Note

The reactance of a circuit is zero. It is possible that the circuit contains
(a) an inductor and a capacitor
(b) an inductor but no capacitor
(c) a capacitor but no inductor
(d) neither an inductor nor a capacitor

#### Solution

(a) an inductor and a capacitor
(d) neither an inductor nor a capacitor

(a) The reactance of a circuit containing a capacitor and an inductor is given by,
X = X_L - X_C = omegaL - 1/(omegaC)
if omegaL = 1/(omegaC)  X = 0. so , the circuit contains an inductor and a capacitor.

(b) For a circuit without a capacitor, reactance is given by,
X' = X_L = omegaL which cannot be zero for an AC source.

(c) Similarly, for a circuit without an inductor, reactance is given by,
X" = Xc = 1/(omega C)

(d) For a circuit without any capacitor and inductor, reactance, X' = 0 ( L = = 0)

Concept: Reactance and Impedance
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#### APPEARS IN

HC Verma Class 11, Class 12 Concepts of Physics Vol. 2
Chapter 17 Alternating Current
MCQ | Q 2 | Page 329