10.2 Analysis of RL Circuits

• Inductor current buildup:

• By KVL:

• Homogeneous equation:

• Homogeneous solution (time constant = L/R):

• Particular equation: 

• Particular solution:

• Complete solution:

• Initial & continuity conditions are applied to evaluated A
• Inductor current for t > 0 :

• Inductor voltage :

• Inductor current has an initial value of 0 (open circuit) and final value of V/R (short circuit)