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Find the capacity of a condenser to run...

Find the capacity of a condenser to run a 30 V, 10 W lamp when connected in series with an alternating emf of 220 V and frequency 50 C/s.

Text Solution

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Required current for bulb `= (10W)/(30V) = 1/3 A`
For `l_(rms) = 1/3 A = (V_(rms))/(1/(2pifC)) = V_(rms) xx 2pifC`
`C = 1/(3xx V xx2pif) = 1/(3 xx 220 xx 2pi 50)= 1/(660 xx pi xx 100)= 1/(66 xx pi) xx 10^(-3) F = 4.86 mu F`
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