A 20 V-5 W Lamp Is To Run On 200 V-50 Hz a.c. Mains. Find The Capacitance Of A Capacitor Required To Run The Lamp.

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Question

A 20 V-5 W lamp is to run on 200 V-50 Hz a.c. mains. Find the capacitance of a capacitor required to run the lamp.

None of these

diffcult

Solution

Correct option is

The current ratting of the 20 V-5 W lamp is

And the resistance of its filament is

If the lamp is to run on 200 V-50 Hz a.c. mains, a capacitor (or choke) must be placed in series in order to increase its effective (impedance) so that the current through it does not exceed 0.25 A. Let C be the capacitance of the required capacitor. Then, the impedance of the lamp-capacitor combination is

Now,

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