Question

You are given three circuit elements X, Y and Z. They are connected one by one across a given ac source. It is found that V and I are in phase for element X. V leads I by ${\displaystyle \left(\frac{\pi }{4}\right)}$ for element Y while I leads V by ${\displaystyle \left(\frac{\pi }{4}\right)}$ for element Z. Identify elements X, Y and Z.

Answer 1

Since the phase difference between V and I is zero, the element X is a resistor.

Since the voltage leads the current by ${\displaystyle \frac{\pi }{4}}$, hence the element Y is an inductor.

And, since the current leads the voltage by ${\displaystyle \frac{\pi }{4}}$ 

Hence, the element Z is a capacitor.