math expression

In this case, XL = 3 Ω and XC = 0 so XL - XC = 3 Ω.

So in rectangular form, the impedance is written:

Z = 5 + 3j Ω

Using calculator, the magnitude of Z is given by: 5.83, and the angle θ (the phase difference) is given by: 30.96°.

So the voltage leads the current by 30.96°, as shown in the diagram.

Presenting Z as a complex number (in polar form), we have:

Z = 5.83 ∠ 30.96° Ω.