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

In a series​ resistance-capacitance DC​ circuit, the instantaneous charge Q on the capacitor as a... 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 Q(t)=CV(1-e-t/(RC)​, 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^-4 farads, R=10^8 ohms, and V=10 volts, what is the charging current after 100 seconds? (Hint: When placed into the function in part a the units can be combined into​ amps.)

c. If C=10^-5 farads, R=10^8 ohms, V=10 volts, what is the charging current after 100 seconds? (Hint: When placed into the function in part a the units can be combined into​ amps.)

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