Kirchoff’s Law

Differential Equation Applications

Kirchoff’s Law

The current, i in a series circuit with constant inductance, L , constant resistance, R and a constant voltage, V applied is described by:

                            L di/dt + Ri = V

If we have such a circuit with L = 3 henrys, R = 8 ohms, V = 20 volts, find the current after 60 seconds.

What is known?