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You are given three circuits X, Y and Z ...

You are given three circuits X, Y and Z when the element X is connected across an a.c. source of a given voltage, the current and voltage are in same phase. When element Y is connected in series with X across the source, voltage is ahead of voltage by `pi//4`. But the current is ahead of voltage by `pi//4`, when Z is connected series with X, across the source. Identify the circuit elements X, Y and Z.
When all the three elements are connected in series across the same source, determine the impedance of the circuit . Draw a plot of current versus the frequency of applied source and mention the significance of this plot.

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