A capacitor, C = 2 µF, resistor, R = 500 Q, and a battery, V = 10 volts are connected as shown in the diagram. When the switch, SW, is closed, the charge on the capacitor is given by the time-charge equation, Q()=Q(-) 1-e RC. Sw (a) Determine the value of the time constant, t, for this circuit. (b) Apply the time-charge equation to write an expression for the current, I(t), in terms of Q(0), t, C, and R that flows in the circuit after the switch is closed. (c) Determine the numerical value of the maximum current in this circuit.

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A capacitor, C = 2 µF, resistor, R = 500 Q, and a battery, V = 10 volts are
connected as shown in the diagram. When the switch, SW, is closed, the charge
on the capacitor is given by the time-charge equation, Q()=Q(-) 1-e RC.
Sw
(a) Determine the value of the time constant, 7, for this circuit.
(b) Apply the time-charge equation to write an expression for the current, /(f),
in terms of Q(0), t, C, and R that flows in the circuit after the switch is closed.
(c) Determine the numerical value of the maximum current in this circuit.
Transcribed Image Text:A capacitor, C = 2 µF, resistor, R = 500 Q, and a battery, V = 10 volts are connected as shown in the diagram. When the switch, SW, is closed, the charge on the capacitor is given by the time-charge equation, Q()=Q(-) 1-e RC. Sw (a) Determine the value of the time constant, 7, for this circuit. (b) Apply the time-charge equation to write an expression for the current, /(f), in terms of Q(0), t, C, and R that flows in the circuit after the switch is closed. (c) Determine the numerical value of the maximum current in this circuit.
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