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CBSE Class 12-science Answered

Prove that an ideal capacitor, in an a.c. circuit does not dissipate power. Or Derive an expression of the impedance of an ac circuit consisting of an inductor and a resistor.
Asked by Topperlearning User | 22 Jun, 2015, 12:47: PM
answered-by-expert Expert Answer

We know average power in an capacitive circuit is given by

Or

Let an inductor L and resistor R be connected in series to a source of alternating emf as shown in the following figure.

The maximum voltage across resistor R is given as:

In a resistor circuit, voltage is in phase with current . It is represented by along OX.

The maximum voltage across inductor L is given as:

In an inductive circuit, voltage across the inductor leads the current by 90o. It is represented by along OY.

Answered by | 22 Jun, 2015, 02:47: PM

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