In a series resistance-capacitance DC circuit, the instantaneous charge Q on the capacitor as a function of

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In a series resistance-capacitance DC circuit, the instantaneous charge Q on the capacitor as a function of time (where t = 0 is the moment the circuit is energized by closing a switch) is given by the equation

where C, V, and R are constants. Further, the instantaneous charging current Ic is the rate of change of charge on the capacitor, or Ic = dQ/dt.

a. Find the expression for Ic as a function of time.

b. If C = 10-5 farads, R = 107ohms, and v = 110 volts, what is the charging current after 200 seconds?

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Calculus With Applications

ISBN: 9780321831101

10th Edition

Authors: Margaret L Lial, Raymond N Greenwell, Nathan P Ritchey

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