1.

A series combination of a coil of inductance L and a resistor of resistance 12Omega is connected across a 12 V, 50 Hz supply. Calculate L if the circuit current is 0.5 A.

Answer»

Solution :Impedance, `Z=(E)/(I)=(12)/(0.5)=24Omega`
`and Z=sqrt(R^(2)+OMEGA^(2)L^(2))`
`or Z^(2)=R^(2)+omega^(2)L^(2) or L^(2)=(Z^(2)-r^(2))/(omega^(2))`
Here `omega=2piv=2xx(22)/(7)xx50`
`="314 rads"^(-1) and R=12Omega`
`L^(2)=((24)^(2)-(12)^(2))/((314)^(2)) or L=(12sqrt3)/(314)=0.066H`


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