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Questions: For questions 1 and 2 below, assume an RO 10 k02. (Show your work.) 1

ID: 1648683 • Letter: Q

Question

Questions: For questions 1 and 2 below, assume an RO 10 k02. (Show your work.) 1. Assuming the capacitor is initially uncharged, what is the value of the voltage across the circuit as above with p-10 V, C-100 F, and R- capacitor after 5 time constants? 2. with p . (r)-Ys.iK·Ys..,r, it mathematically takes an infinite time for the capacitor in an RC circuit to discharge completely. Practically, how many time constants does it take for the capacitor to discharge to less than 1% of its initial voltage? 3. What is the time constant of the circuit shown below?

Explanation / Answer

A) V = Vo* (1 - e^-5)

= 10* (1 - e^-5)

= 9.9326 V answer

B) V = Vo*(e^(-t/T))

V/Vo = (e^(-t/T))

0.01 = (e^(-t/T))

ln 0.01 = - t/T

t = 4.6T

Hence t = 4.6 time constants