Question

Two inductors are connected in series to a 120 volt, 60 Hz line. The values are .75 H and 1.47 H. The total inductive reactance is

Answer 1

837.02 ohms

Step-by-step explanation:

Step one:

Given data

Frequency= 60Hz

L1= 0.75H

L2= 1.47H

When inductors are connected in series, the total inductance is the sum of the individual inductance

Step two:

Inductor 1

`Xl1= 2\pi fL\\\\Xl1= 2*3.142*60*0.75\\\\Xl1= 282.78 ohms`

Inductor 2

`Xl2= 2\pi fL\\\\Xl2= 2*3.142*60*1.47\\\\Xl2= 554.24 ohms`

The total inductance is

=282.78+554.24

=837.02 ohms