inst.eecs.berkeley.eduee105/fa19/solutions/hw2...q7) a) peak-to-peak ripple 1.01v. b) from part (a)...
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Q7) a) Peak-to-peak ripple 1.01V.
b) From part (a) we see that the maximum value of the differential output is around 3.6V and the output discharges to 2.57V over a discharge time, t, which can be calculated as follows:
3.6 �1 − 𝑒𝑒−𝑡𝑡
𝑅𝑅𝐿𝐿𝐶𝐶� � = 1.01
And therefore:
𝑡𝑡 = 0.33𝑅𝑅𝐿𝐿𝐶𝐶
Assuming the discharge time, and maximum voltages stay almost the same, we can calculate the new time constant to achieve 0.5V from:
3.6 �1 − 𝑒𝑒−0.33𝑅𝑅𝐿𝐿𝐶𝐶
𝑅𝑅𝐿𝐿𝐶𝐶𝑛𝑛𝑛𝑛𝑛𝑛� � = 0.5
𝐶𝐶𝑛𝑛𝑛𝑛𝑛𝑛 = 𝐶𝐶0.33
0.149= 2.2 𝜇𝜇𝐹𝐹
Simulating with the new capacitance value results in a ripple around 525mV. By tweaking the cap value to 2.27uF the desired 0.5V ripple can be achieved.