Problem: A circuit is constructed with an AC generator, a resistor, capacitor and inductor as shown. The generator voltage varies in time as ε =Va - Vb = εmsinωt, where εm = 120 V and ω = 737 radians/second. The values for the remaining circuit components are: R = 83 Ω, L = 112.5 mH, and C = 11.6μF.What is t1, the first time after t = 0 when the voltage across the inductor is zero?

FREE Expert Solution

Current:

i=imaxcos ϕ

The voltage across the inductor:

VL=Lddti0=Lddtimaxsin(ωt-ϕ)0=Limaxω cos(ωt-ϕ)0=cos(ωt-ϕ)cos-10=ωt-ϕ90°=ωt-ϕ90°+ϕω=t

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Problem Details

A circuit is constructed with an AC generator, a resistor, capacitor and inductor as shown. The generator voltage varies in time as ε =Va - Vb = εmsinωt, where εm = 120 V and ω = 737 radians/second. The values for the remaining circuit components are: R = 83 Ω, L = 112.5 mH, and C = 11.6μF.


What is t1, the first time after t = 0 when the voltage across the inductor is zero?

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