passive-networks
In figure 8.21 $$ R_1 = 50 , R_2 = 200 , L = 2 H$$
Voltage is given by $$ V_{in}(t) = V_{s1}u(-t) + V_{s2}u(t) $$ where $$V_{S1} = -10 V , V_{S2} = 20 V$$
a) Find $$ I_L(0^+) $$ and $$ I_L(t)$$ for t > 0
So far, I haven't done anything because I don't know what to do first. Some hints would appreciated.
The current through an inductor is continuous so
$$i_L(0+) = 2A$$
The voltage across a capacitor is continuous so
$$v_C(0+) = 0V$$
Now, the inductor and the resistor are in series so they have identical currents. So, armed with just KVL and Ohm's Law,
$$v_L(0+)=?$$
First remember current of capacitor and resistor not same, like this picture :
Best Answer
Knowing that an inductor will initially behave as an [open][short](pick one) circuit will answer the behavior at t=0+.
Knowing how the inductor behaves at t = infinity will let you find the asymptotic value of IL.
Figuring out the time constant of the circuit will let you fill in the time in between.