Module 25: AC Circuits Learn Question An inductor with inductance L is connected

Question

Module 25: AC Circuits Learn Question An inductor with inductance L is connected in series with an AC source that provides a sinusoidal voltage of v of t is equal to V times cosine of begin quantity omega times t end quantity, where V is the maximum voltage, omega is the angular frequency, and t is the time. If a second identical inductor is wired in series with the first inductor, what happens to the total inductive reactance, XL, of the circuit?

XL decreases by a factor of 2.

XL increases by a factor of 4.

XL decreases by a factor of 4.

XL increases by a factor of 2.

Explanation / Answer

Inductive Reactance XL=L

=omega, L= inductance

We can rewrite the above equation for inductive reactance into a more familiar form that uses the ordinary frequency of the supply instead of the angular frequency in radians, and this is given as:

=2fL

f = Frequency

if we add an identical inductor L in series so it becomes XL=(L+L)= 2L

XL increases by a factor of 2

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