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Let the switch be closed at t = 0. Determine the current in the switch as a func

ID: 1267658 • Letter: L

Question

Let the switch be closed at t = 0. Determine the current in the switch as a function of time. (Assume I is in A and t is in s. Do not enter units in your expression. Use the following as necessary: t.)

IMPORTANT: add a 100 k resistor in the vertical line just below the switch AND a second switch just above the EMF. Assume the capacitor is initially uncharged and that both switches are closed at t = 0. Now, find the current through the CAPACITOR as a function of time AND check if your solution reduces to the expected values (from the capacitor "rules of thumb") at t = 0 and at t = infinity. Submit with cover sheet.

Explanation / Answer

for charging cap
q(t) = CE[1-e^(-t/RC)]
I(t) = E/Re^(-t/RC)
c=q/v v=IR