Question

The inductive reactance is directly proportional to
A. Inductance
B. Frequency of the current
C. Both A and B
D. Amplitude of the current

Answer 1

Hint:Before going to answer this question, let’s know about the reactance and inductive reactance. The opposition to the flow of an AC current offered by inductance or capacitance is known as reactance. The inductive reactance in the Ac circuit is defined as the opposition to the flow of AC current in the inductor.

Complete step by step solution:
An inductor is a passive component that stores energy in the form of a magnetic field that consists of a wire loop or coil. The inductive reactance of AC circuit is given by,
\[{X_L} = \omega L\]
\[ \Rightarrow {X_L} = 2\pi fL\]
Here, f is the frequency of the AC measured in Hertz (Hz) and L is the inductance which is measured in henry(H).

By this formula, we can say that the inductive reactance is directly proportional to the frequency of the AC and also the inductance. Since we know that, \[f \propto \dfrac{1}{T}\]. The inductive reactance is also inversely proportional to the time.
\[ \Rightarrow {X_L} \propto \dfrac{1}{T}\].

Hence, option C is the correct answer.

Note:Inductive reactance is usually caused by the devices which are wound in the form of a circular wire, such as coils, chokes, and transformers. The reactance which occurs in a capacitor is known as capacitive reactance. Generally, the inductors do not generate heat because the energy is stored in the form of a magnetic field and then released again and there will be energy lost due to the inductor’s internal resistance.