Final answer:
When the switch in the given circuit opens, the current starts to decrease to zero over time due to the presence of an inductive component (L). The current can be described by the equation i(t) = i(0)e^(-t/T), where i(0) is the initial current, t is the time after the switch opens, and T is the time constant of the circuit. To find i(t) for t > 0, you need the initial current value, the inductance, and the resistance of the circuit.
Step-by-step explanation:
When the switch in the given circuit opens at t = 0, the current through the circuit will start to decrease from its initial value to zero over time. This is due to the presence of an inductive component (L) in the circuit.
The current, i(t), can be described by the equation i(t) = i(0)e^(-t/T), where i(0) is the initial current, t is the time after the switch opens, and T is the time constant of the circuit given by T = L/R, with L being the inductance and R being the resistance in the circuit.
So, to find i(t) for t > 0, you need the initial current value (i(0)), the inductance (L), and the resistance (R) of the circuit.