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.

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.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Question

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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.
R = 1800 Q
C = 225 µF
(a). Write down the mathematical expression for
the current flowing through the circuit as a
I
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!
Vps = 10 volts

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