Allan's Circuits Problems

Chapter Eight: First Order RL and RC Circuits

THE EXPONENTIAL FUNCTION

1.

Measurements of the exponentially decaying charge on a sphere provide the following data:

Time, ms

Charge, ?C

0.40

170.429

0.425

168.733

Determine the initial value of the charge, the time constant and the charge at t = 0.625 ms.

2.

Measurements of an exponentially decaying voltage provide the following data:

Time, s

Voltage, V

0.12

658.574

0.15

566.840

Determine the initial value of the voltage, the time constant and the voltage at t = 32.5 ms.

3.

If an exponentially decaying current has a time constant of 100 ms and if the current has a value of 12.42 A at t = 165 ms, determine the value of the current at t = 0 and the time at which the current has a value of 4.571 A.

4.

An exponentially decaying voltage has a time constant of 400 ms and an initial value of 1.2 kV. What is the value of the voltage at t = 125 ms and what is the value of the voltage five time constants later.

5.

Measurements of an exponentially decaying current yield the following data:

Time, s

Current, A

0.250

294.30

0.275

266.30

Determine the initial value of the current and the time constant.

6.

Measurements of an exponentially decaying voltage yield the following data:

Time, ms

Voltage, A

10

53.375

25

25.214

Determine the initial value of the voltage and the time constant.

EVALUATION OF INITIAL CONDITIONS

7.

In Fig 8.1 the switch...

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