**Question 6: Show that reactance in measured in ohms for both inductors and capacitors.**

ANSWER

#### Inductive Reactance

The opposition offered by an inductor to the flow of alternating current is called inductive reactance, denoted by X_{L}.

Now if V is the applied voltage and I is resulting current, then apply Ohm’s law,

The instantaneous values of V and I are given by

Here V_{m} and I_{m} are the respective maximum values of voltage and current. Put them in equation (A).

In terms of units,

However, (volt/Ampere) is the unit of resistance. Therefore, unit of measurement of the inductive reactance is ohm, Ω.

#### Capacitive Reactance

Capacitive reactance is the opposition offered by the capacitor to the flow of current.

If X_{C} is the capacitive reactance of a capacitor and current I is flowing through it when connected across a voltage source, V, then apply Ohm’s law

Now volt/amp is the unit of resistance, therefore, the capacitive reactance of a capacitor is measured in ohms, Ω.

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