If power factor is 1/2 in a series RL circuit R = 100 Ω. If AC mains of 50 Hz is used then L is :-
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power factor= resistance /impedence
impedence =√{(1/wL)²+ r²} here
w=2pie f
2xpi x50=100pi=w
by solving we get L= 10^-4 / (pi√3)
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