Suppose Vo = 5 V, R = 10 k, and C = 0.01 F. Plot both...

 

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Suppose Vo = 5 V, R = 10 k, and C = 0.01 μF. Plot both vin (t) and vout (t) from 1 ms to 1 ms on the same set of axes. The RC circuit's natural response to the step function is now analyzed, and you have a general idea of what this response looks like by plotting it with the input voltage. Now suppose the input signal has been Vo, a positive constant, for a long time before being changed to zero at t = 0, which means Vin (t) = {Vo, when t < 0 (0, when t≥ 0 Find the initial condition for vout (t), then find vout (t) for t> 0 in terms of Vo: R, and C. Suppose Vo = 5 V, R = 10 kn, and C = 0.01 µF. Plot both vin (t) and vout (t) from −1 ms to 1 ms on the same set of axes. If the switch is turned on and off periodically, the input signal becomes a square wave. Suppose the period is T and the duty cycle is 50%. Explain that if half of the period T/2 >> RC then the output voltage goes to its limit before the switch changes. Find the time constant, rise time, fall time, and delay time in terms of R and C. Notice that these timing parameters are independent of the input voltage. Read Reference 5.1 for more information. Hint: Suppose T = 10RC, for example. Find out how close the output voltage is to its limit. Suppose Vo = 5 V, R = 10 k, and C = 0.01 μF. Plot both vin (t) and vout (t) from 1 ms to 1 ms on the same set of axes. The RC circuit's natural response to the step function is now analyzed, and you have a general idea of what this response looks like by plotting it with the input voltage. Now suppose the input signal has been Vo, a positive constant, for a long time before being changed to zero at t = 0, which means Vin (t) = {Vo, when t < 0 (0, when t≥ 0 Find the initial condition for vout (t), then find vout (t) for t> 0 in terms of Vo: R, and C. Suppose Vo = 5 V, R = 10 kn, and C = 0.01 µF. Plot both vin (t) and vout (t) from −1 ms to 1 ms on the same set of axes. If the switch is turned on and off periodically, the input signal becomes a square wave. Suppose the period is T and the duty cycle is 50%. Explain that if half of the period T/2 >> RC then the output voltage goes to its limit before the switch changes. Find the time constant, rise time, fall time, and delay time in terms of R and C. Notice that these timing parameters are independent of the input voltage. Read Reference 5.1 for more information. Hint: Suppose T = 10RC, for example. Find out how close the output voltage is to its limit.