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An alternating voltage of 220 volt r.m.s...

 An alternating voltage of 220 volt r.m.s. at a frequency of 40 cycles/second is supplied to a circuit containing a pure inductance of 0.01 H and a pure resistance of 6 ohms in series. Calculate
Q (ii) potential difference across the resistance

Text Solution

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(i)`z=sqrt((omegaL)^(2)+R^(2))=sqrt((2pixx40xx0.01^(2))^(2)+6^(2))=sqrt((42.4))`
`I_(rms)=220/z=33.83 amp`
(ii)`V_(rms)=I_(rms)xxR=202.98` volts , (iii)`omegaLxxI_(rms)=96.83` volts
(iv)`t=T pi/(2pi)=0.01579 sec` , (v)`cos phi=R/Z=0.92`
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