A resistor and capacitor are connected in series across an AC generator. The emf of the generator is given by  v(t) = V0 cos?t,  where  V0 = 136 V,   ? = 128? rad/s,   R = 440 Ω,  and  C = 4.4 µF. (a) What is the impedance of the circuit (in Ω)?  Ω (b) What is the amplitude of the current through the resistor (in A)?  A (c) Write an expression for the current through the resistor. (Use the following as necessary: t. Assume  i(t)  is in amps and t is in seconds. Do not include units in your answer.) i(t) =

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A resistor and capacitor are connected in series across an AC generator. The emf of the generator is given by 
v(t) = V0 cos?t,
 where 
V0 = 136 V,
 
? = 128? rad/s,
 
R = 440 Ω,
 and 
C = 4.4 µF.
(a)
What is the impedance of the circuit (in Ω)?
 Ω
(b)
What is the amplitude of the current through the resistor (in A)?
 A
(c)
Write an expression for the current through the resistor. (Use the following as necessary: t. Assume 
i(t)
 is in amps and t is in seconds. Do not include units in your answer.)
i(t) = 
 
 
 
(d)
Write expressions representing the voltages across the resistor and across the capacitor. (Use the following as necessary: t. Assume 
v(t)
 is in volts and t is in seconds. Do not include units in your answers.)
vR(t)=
 
 
 
vC(t)=
 
 
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