Question

Solve for the current in the 6F Cap. for all time.

Answer 1

just wondering if i did this correctly

Answer 2

Vth = 24{(2/(2+10)} = 4
Rth = 2||10 = 20/12 = 5/3
Ceq = 6||12 = 72/18 = 4
TC = 20/3
you should be able to solve

Answer 3

It is correct but the sign of the current. You forgot the sign of exponential when calculating the derivative. Also, conceptually, in t>0 the capacitors discharge through the 2 ohms resistor, which means a current that flows in opposite direction to the Ic you have drawn

Answer 4

The above is true after the switch has been closed for t>5 TC closed and then open up again which is not stated.