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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) = Vo cosat, where Ve= 128 V, w 126n rad/s, R= 410 0, and C 4.1 uF. (a) what is the impedance of the circuit (in 0)? (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.) (t) = (d) Write expressions representing the volfages 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.) Valt) = velt) =

A resistor and capacitor are connected in series across an AC generator. The emf of the generator is given by v(t) = Vo cosat, where Ve= 128 V, w 126n rad/s, R= 410 0, and C 4.1 uF. (a) what is the impedance of the circuit (in 0)? (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.) (t) = (d) Write expressions representing the volfages 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.) Valt) = velt) =

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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) = V, coswt, where V,= 128 V, w = 126n rad/s, R = 410 0, and C = 4.1 uF. (a) what is the impedance of the circuit (in 0)? (b) What is the amplitude of the current through the resistor (in 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.) (t) = (d) Write expressions representing the volfages 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.) Valt) "elt) =
Transcribed Image Text:A resistor and capacitor are connected in series across an AC generator. The emf of the generator is given by v(t) = V, coswt, where V,= 128 V, w = 126n rad/s, R = 410 0, and C = 4.1 uF. (a) what is the impedance of the circuit (in 0)? (b) What is the amplitude of the current through the resistor (in 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.) (t) = (d) Write expressions representing the volfages 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.) Valt) "elt) =
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