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Question

A 100 μF capacitor in series with a 40 Ω resistance is connected to a 110 V, 60 Hz supply.
(a) What is the maximum current in the circuit?

(b) What is the time lag between the current maximum and the voltage maximum?

Solution
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(a)
ω=2πf=120π rad/s
Z2=R2+1ω2C2
Z48 Ω
V0=V2=1102
Io=Vo/Z=3.24A

(b)

tanϕ=1/ωCR=0.6635

ϕ=33.56π/180 rad

Time lag is ϕ/ω=1.55ms

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