When the resistance and inductive reactance of a Wound Rotor Motor are equal, what is the phase angle?

In an AC circuit involving a Wound Rotor Motor, the phase angle is determined by the relationship between the resistance and the inductive reactance. When the resistance (R) and the inductive reactance (X_L) are equal, the total impedance (Z) of the circuit can be analyzed using the following concepts:

1. The impedance Z in a circuit with resistance and inductance can be expressed using the right triangle representation in the complex plane, where the horizontal component represents resistance and the vertical component represents inductive reactance.

2. The phase angle θ (phi) can be calculated using the tangent function:

[

\tan(\theta) = \frac{X_L}{R}

]

When R = X_L, this simplifies to:

[

\tan(\theta) = \frac{R}{R} = 1

]

Thus, θ becomes:

[

\theta = \tan^{-1}(1)

]

The value of ( \tan^{-1}(1) ) is 45 degrees. This indicates that when the resistance and inductive reactance are equal, the circuit presents a phase angle of 45 degrees between the total