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An altenating voltage of 220volts r.m.s ...

An altenating voltage of 220volts r.m.s at a frequency of 40 cycles/sec is supplied to a circuit containing a pure inductance of 0.01H and a pure resitance of 6ohm in series. Calculate (i) the current, (ii) potential difference across the resistance, (iii) potential difference across the inductance, (iv) the time lag, (v) power factor.

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)=33.86"amp"`
`(ii) V_("rms")=I_("rms")xxR=202.98"volts"`
`(iii) mLxxI_("rms")=96.86"volts"`
`(iv) t=T(phi)/(2pi)=0.01579"sec"`
`(v)=cos phi=(R)/(Z)=0.92`
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