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Voltage/Time in Microseconds

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Consider the following circuit in the diagram attached. The voltage step is an "ideal" pulse going from 0 V to 4 V and then back to 0 V; The pulse width is 5 microseconds wide. What is the voltage across the resistor, Vr (t), 7 microseconds after the rising edge of the input pulse?

There are 4 options:
a) between 0.1 and 1 V
b) between 0 and -1 V
c) between 1.1 and 2 V
d) between -1.1 and -2 V

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Solution Summary

This solution answers which level of voltage occurs across the resistor 7 microseconds after the rising edge of the input pulse. By using the Laplace transform method, and the potential divider principle, the exact voltage is obtained.

Solution Preview

Use the Laplace transform method.
Input Voltage Vi(t) = 4[U(t)-U(t-5)]
So, Vi(s) = 4[ (1/s) - (1/s)e^(-5s) ]
= (4/s) [ 1- e^(-5s) ]

Now, from the potential ...

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