Question:

A resistor and an inductor connected in a series network

Last updated: 7/20/2022

A resistor and an inductor connected in a series network

A resistor and an inductor connected in a series network impede the flow of an alternating current. This impedance Z is determined by the reactance X of the inductor and the resistance R of the resistor. The three quantities, all measured in ohms, can be represented by the sides of a right triangle as illustrated, so Z² = x² + R². The angle is called the phase angle. Suppose a series network has an inductive reactance of X=400 ohms and a resistance of R = 1000 ohms. (a) Find the impedance Z. (b) Find the values of the six trigonometric functions of the phase angle .