NCERT Physics Class 12 Exemplar Ch 7 Alternating Current Part 4

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25 Explain why the reactance provided by a capacitor to an alternating current decreases with increasing frequency.

Ans:

  • A capacitor does not allow flow of direct current through it as the resistance across the gap is infinite.

  • When an alternating voltage is applied across the capacitor plates, the plates are alternately charged and discharged.

  • The current through the capacitor is a result of this changing voltage (or charge). Thus, a capacitor will pass more current through it if the voltage is changing at a faster rate, i.e. if the frequency of supply is higher.

  • This implies that the reactance offered by a capacitor is less with increasing frequency; it is given by .

26 Explain why the reactance offered by an inductor increases with increasing frequency of an alternating voltage.

Ans:

  • An inductor opposes flow of current through it by developing a back emf according to Lenz’s law. The induced voltage has a polarity so as to maintain the current at its present value.

  • If the current is decreasing, the polarity of the induced emf will be so as to increase the current and vice versa.

  • Since the induced emf is proportional to the rate of change of current, it will provide greater reactance to the flow of current if the rate of change is faster, i.e. if the frequency is higher.

  • The reactance of an inductor, therefore, is proportional to the frequency, being given by

Long Answer

27 An electrical device draws 2kW power from AC mains . The current differs (lags) in phase by as compared to voltage.

Find (i) R, (ii) , and (iii) . Another device has twice the values for . How are the answers affected?

Power

.

If are all doubled does not change.Z is doubled, current is halfed.

Power drawn is halfed.