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A series RC circuit response to a unit step signal. Aunit step

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A series RC circuit response to a unit step signal. Aunit step function u(t) can be considered a causal contant source.
a. From the basic principles consider the response of an RC circuit to u(t) that is in a battery connected in series with the resistor and the capacitor. PLOT what would be the voltage across the capacitor for t > 0. Assume the capacitor has no initial voltage at t = 0.
b. What would be the voltage across the capacitor in the steady state? Explain
c. Suppose the capacitor is disconnected from the circuit at some point in timeT>>0. Ideally what would be the voltage across the capacitor from then on.
d. If you disconnect the capacitor, again at T>>0, but somehow it is left connected to the resistor, so they are in paralell, what would happen to the voltage across the capacitor> PLOT the approximate voltage across the capacitor for all times and explain the reason for the plot.
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