What is output voltage at the end of the input pulse to an RL integrator if the resistance is 22 $\mathrm { k } \Omega$. the inductor is 2 H and the input is a 12 V, 0.0909 ms pulse?
A) 11.8 V
B) 10.4 V
C) 7.59 V
D) 11.4 V

Question

What is output voltage at the end of the input pulse to an RL integrator if the resistance is 22 $\mathrm { k } \Omega$. the inductor is  2 H  and the input is a  12 V, 0.0909 ms pulse?
A)  11.8 V
B)  10.4 V
C)  7.59 V 
D)  11.4 V

Quizplus · Accepted Answer

The output voltage across an RL integrator can be given by the equation:
$$V_{out}=\frac{L}{R}\frac{d(V_{in})}{dt}$$
Substituting the given values:
$$V_{out}=\frac{2\mathrm{H}}{22\mathrm{k}\Omega}\frac{12\mathrm{V}}{0.0909 \mathrm{ms}}$$
$$V_{out}=7.59\mathrm{V}$$
Therefore, the correct answer is C, 7.59 V.

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