Question

A resistor, inductor, and capacitor are in parallel in a circuit where the frequency of operation can vary. The R, L, and C values are such that at the frequency omega subscript 0, the magnitude of all the impedances are equal to each other. If the frequency of operation approaches zero, which element will dominate in determining the equivalent impedance of this parallel combination?

a. The inductor.
b. The capacitor.
c. The resistor.
d. Insufficient information provided.

Answer 1

Option A is correct

Step-by-step explanation:

As we know

Inductive Susceptance = ½(pi)*f*L

Or Inductive Susceptance is inversely proportional to the frequency

Likewise conductive Susceptance = 2 (pi)*f*C

Conductive Susceptance is directly proportional to the frequency

When the frequency will reach the value zero, then the Inductive Susceptance will become infinite

Hence, inductor will dominate in determining the equivalent impedance of this parallel combination

Option A