1.

A 60V ,10W lamp is to be run on 100 V , 60 Hz ac mains , Calculate the inductance of the choke coil requiredto be connectedin seriesfor the bulb to work .

Answer»

Solution :GIVEN : P=10 W, V=60 V , `V_(RMS)` =100 VOLT
Current`I_(rms)=P//V=10//60=1//6A`
Resistance `R=V/I=60/(1//6)=60xx6=360 Omega`
IMPEDANCE `Z=V_(rms)/I_(rms)=100/(1//6)=600Omega`
`Z=sqrt(R^2+X_L^2) rArr L=sqrt(Z^2-R^2)/(2pif)=sqrt(600^2-360^2)/(2xx3.142xx60)`
L=1.273 H


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