Question

In a parallel circuit, ET = 277 V, R = 33 kΩ, and XL = 42 kΩ. What is Z?

Answer 1

Given:

Resistance $(X_{R}) = 33 k ohm$

Inductive reactance $(X_{R}) = 42 k ohm$

We can calculate total impedance (Z) in parallel circuit, by using a reciprocal formula (identical to that used in calculating parallel resistances in DC circuits) as follows.

$1/Z = 1/X_{R} + 1/X_{L}$

$1/Z = 1/33 + 1/42$

solving this we get, Z = 18.4798 kΩ