Electricity In a series resistancecapacitance DC circuit,
Chapter 4, Problem 59A(choose chapter or problem)
Problem 59A
Electricity 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. Source: Kevin Friedrich.
a. Find the expression for IC as a function of time.
b. If C = 10−5 farads, R = 107 ohms, and V = 10 volts, what is the charging current after 200 seconds? (Hint: When placed into the function in part a the units can be combined into amps.)
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