There is a function generator driving a series RC circuit. The function generato

Question

There is a function generator driving a series RC circuit. The function generator provides an AC current of I(t) = Io sin(2? f t), where Io = 2.50 mA is the current amplitude and the frequency f is f = 100. Hz. The resistor has a value of R = 4.7 K? and the capacitor value is C = 0.520 ?F. For this circuit:

What is the voltage amplitude across the resistor?

What is the reactance of the capacitor?

What is the voltage amplitude across the capacitor?

The graph below shows the voltage across the resistor R as a function of time. On the axes below sketch the voltage across the capacitor during the same time interval. (No graph supplied so maybe just a rough sketch of what it would look like)

Explanation / Answer

V = IoR = 0.0025 * 4700 = 11.75 volts

b. Xc = 1/2pifC = 1/2*3.14* 100* 0.52*10^-6 = 3062.22 OHMS

C. Vc = 0.0025 * 3062.22 = 7.655 volts

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