Chapter 32, Problem 49EAP

Use a phasor diagram to analyze the RL circuit of FIGURE P32.49. In particular,

a. Find expressions for I, ${\text{V}}_{\text{R}}$, and ${\text{V}}_{\text{L}}$.

b. What is ${\text{V}}_{\text{R}}$in the limits $\omega \to 0$ and $\omega \to \infty$ ?

c. If the output is taken from the resistor, is this a low-pass or a

high-pass filter? Explain.

d. Find an expression for the crossover frequency ${\omega }_C$ .