Question 20.9: Draw the output voltage for the RL differentiator in Figure ...

Draw the output voltage for the RL differentiator in Figure 20-43.

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First, calculate the time constant,

\tau = \frac{L}{R}= \frac{200 \ \mu H}{100 \ \Omega } = 2 \ \mu s

In this case, t_{W}= 5 \tau , so the output will decay to zero at the end of the pulse. On the rising edge, the inductor voltage jumps to +5 V and then decays exponentially to zero. It reaches approximately zero at the instant of the falling edge. On the falling edge of the input, the inductor voltage jumps to —5 V and then goes back to zero. The output waveform is shown in Figure 20-44.

Screenshot (992)

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