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Find the capacity of a condenser to run ...

Find the capacity of a condenser to run a 30 Volt, 10 watt lamp when connected in series with an alternating e.m.f. of 220 volt and frequency `50 c//s`

Text Solution

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Required current for bulb = `(10W)/(30 V) = (1)/(3) ` A
For `l_("rms")=(1)/(3)A= V_("rms")/(X_(C))=V_("rms")/(1)=V_("rms")xx2pifC`
`C = (1)/(3xxVxx2pif)=(1)/(3xx220xx2pixx50)`
`= (1)/(660xxpixx100)=(1)/(66xxpi)xx10^(-3)F = 4.86 mu`F
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