2. 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 voltage across the capacitor as a function of time. (b). Calculate the time constant for this circuit. (c). Calculate the voltage across the capacitor at the end of 2 time constants. (d). Calculate the electric charge stored in the capacitor at the end of 2 time constants. (o) Explain uh anane oltaga nd
2. 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 voltage across the capacitor as a function of time. (b). Calculate the time constant for this circuit. (c). Calculate the voltage across the capacitor at the end of 2 time constants. (d). Calculate the electric charge stored in the capacitor at the end of 2 time constants. (o) Explain uh anane oltaga nd
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Can u please help with questions e, f, and g.
Transcribed Image Text:2. Charging a capacitor through a resistor.
The capacitor initially starts with no charge.
Refer to the circuit diagram on the right.
R = 1800 2
C = 225 µF
(a). Write down the mathematical expression for the
voltage across the capacitor as a function of time.
(b). Calculate the time constant for this circuit.
(c). Calculate the voltage across the capacitor at the
end of 2 time constants.
+
(d). Calculate the electric charge stored in the
capacitor at the end of 2 time constants.
(e). Explain what happens to the voltage across the
capacitor after the time interval t= 5 time constants.
(f). Carefully draw a graph of the time dependent
behavior of the voltage across the capacitor, and
label everything!
(g). Calculate the time elapsed when the voltage
across the capacitor is equal to the voltage across the
Vps = 10 volts
resistor.
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