- #1
galaxy_twirl
- 137
- 1
Homework Statement
Homework Equations
iL = (iL(0) + Vs/R)e(-t/τ + Vs/R
The Attempt at a Solution
When the switch is closed before t=0, v(t) = 100V as the first 100Ohm resistor is shorted and L acts as a short wire in DC steady state.
When the switch opens, v(t) = 50V by voltage divider rule, since current flows through both 100Ohm resistors.
However, I have trouble putting the above in a v(t) expression, as v(t) is the voltage across R. I learned how to write first-order transient equations for L and C but can they be applied here?
τ = L/R (τ is tau, the time constant)
iL = (iL(0) + Vs/R)e-t/τ + Vs/R