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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 `= (10 W)/(30 V) = (1)/(3) A`
For `l_("rms")=(1)/(3) A = (V_("rms"))/(X_(C))=(V_("rms"))/((1)/(2pi f C))=V_("rms")xx 2 pi f C`
`C= (1)/(3xx V xx 2 pi f) = (1)/(2xx220xx 2 pi xx 50) = (1)/(660xxpixx100) = (1)/(66xxpi) xx 10^(-3)F=4.86 mu F`
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