3. Charging a capacitor through a resistor. The capacitor initially starts with no charge. Refer to the circuit diagram on the right. (a). Write down the mathematical expression for the current flowing through the circuit as a function of time. (b). Calculate the current flowing in the circuit at the end of 2 time constants. (c). Calculate the voltage across the resistor at the end of 2 time constants. (d). Explain what happens to the current in the circuit after the time interval t = 5 time constants. (e). Carefully draw a graph of the time dependent behavior of the current flowing through the circuit, and label everything! R = 1800 Ω WM Vps = 10 volts C = 225 µF

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3. Charging a capacitor through a resistor.
The capacitor initially starts with no charge.
Refer to the circuit diagram on the right.
(a). Write down the mathematical expression for
the current flowing through the circuit as a
function of time.
(b). Calculate the current flowing in the circuit at
the end of 2 time constants.
(c). Calculate the voltage across the resistor at the
end of 2 time constants.
(d). Explain what happens to the current in the
circuit after the time interval t = 5 time constants.
(e). Carefully draw a graph of the time dependent
behavior of the current flowing through the circuit,
and label everything!
R = 1800 22
WW
Vps = 10 volts
C = 225 µF
Transcribed Image Text:3. Charging a capacitor through a resistor. The capacitor initially starts with no charge. Refer to the circuit diagram on the right. (a). Write down the mathematical expression for the current flowing through the circuit as a function of time. (b). Calculate the current flowing in the circuit at the end of 2 time constants. (c). Calculate the voltage across the resistor at the end of 2 time constants. (d). Explain what happens to the current in the circuit after the time interval t = 5 time constants. (e). Carefully draw a graph of the time dependent behavior of the current flowing through the circuit, and label everything! R = 1800 22 WW Vps = 10 volts C = 225 µF
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