- #1
maxpound18
- 5
- 0
Homework Statement
Find i0(t) see attached picture
Homework Equations
io(t) = iinfinite + (i0- - iinfinite)e-Rt/L
The Attempt at a Solution
I first re-drew the diagram for when the switch has NOT been closed, which is esssentially the same thing without the 37.5 V Source and the adjacent 10 ohm resistor.
I then found V(phi) using ohms law since the current through both the resistors should be the same. The current is (i=V/R) which is (250/50= 5 Amps)
So, V(phi) = iR which is (5amps*10ohms = 50 V)
I then applied Kirkchoff's Current Law to the node between the inductor, the dependent source, and the 10 ohm resistor.
0 = -(250/50) + 9V(phi) + i0
0 = -5 + 9V(phi) + i0
0 = -5 + 9(50) + i0
i0 = -445 Amps (This seems wrong) but moving on...then i drew the diagram for when t > 0
Attachments
Last edited: