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) =
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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