A resistor and capacitor are connected in series across an ac generator. The emf of the generator is: v(t) = Vo cos(wt) where: Vo = 120 V; w = 1007 rad ; R = 600 Ω, and C- 1.0 μF. S a) What is the impedance of the circuit? Z = Ω b) What is the amplitude of the current through the resistor Io = A c) Write an expression for the amplitude of the current through the resistor I, =

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Chapter15: Alternating-current Circuits
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Problem 26P: A resistor and inductor are connected in series across an ac generator. The emf of the generator is...
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A resistor and capacitor are connected in series across an ac generator. The emf of the generator is:
v(t) = Vo cos(wt)
rad
where: Vo = 120 V; w = 1007
R
600 N; and C = 1.0 µF.
S
a) What is the impedance of the circuit?
Z =
Ω
b) What is the amplitude of the current through the resistor
Io =
A
c) Write an expression for the amplitude of the current through the resistor
Io
=
d) Write expressions for the amplitudes of the voltages across the resistor and across the capacitor
Vo,R =
Vo,c =
Note: You may give your expressions in terms of either R and C or in terms of the circuit impedance, Z
Transcribed Image Text:A resistor and capacitor are connected in series across an ac generator. The emf of the generator is: v(t) = Vo cos(wt) rad where: Vo = 120 V; w = 1007 R 600 N; and C = 1.0 µF. S a) What is the impedance of the circuit? Z = Ω b) What is the amplitude of the current through the resistor Io = A c) Write an expression for the amplitude of the current through the resistor Io = d) Write expressions for the amplitudes of the voltages across the resistor and across the capacitor Vo,R = Vo,c = Note: You may give your expressions in terms of either R and C or in terms of the circuit impedance, Z
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