Analog Computers So-called analog computers use circuits to solve mathematical problems, particularly when they involve differential equations. Suppose we are given the following differential equation to solve.
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In this equation, a is a constant.
a) When the input is a unit step (x (t) = u (t)), the output is given by y (t) = (1 - e -at) u (t). What is the total energy expended by the input?
b) Instead of a unit step, suppose the input is a unit pulse (unit-amplitude, unit-duration) delivered to the circuit at time t = 10. What is the output voltage in this case? Sketch the waveform.