Allan's Circuits Problems

THE EXPONENTIAL FUNCTION
| 1. | Measurements of the exponentially decaying charge on a sphere provide the following data:
Determine the initial value of the charge, the time constant and the charge at t = 0.625 ms. |
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| 2. | Measurements of an exponentially decaying voltage provide the following data:
Determine the initial value of the voltage, the time constant and the voltage at t = 32.5 ms. |
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| 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. |
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| 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. |
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| 5. | Measurements of an exponentially decaying current yield the following data:
Determine the initial value of the current and the time constant. |
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| 6. | Measurements of an exponentially decaying voltage yield the following data:
Determine the initial value of the voltage and the time constant. EVALUATION OF INITIAL CONDITIONS |
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| 7. | In Fig 8.1 the switch... |