Average Inductor Current in RL Charging Circuit

Here's a switching circuit. The input Vs is a 24V rectangular pulse at 20kHz frequency with 75% duty cycle. Since the time constant L/R is very much greater than the pulse width, we expect the inductor current to be a triangular wave (i.e. integral of a rectangular wave) at a certain DC offset which is the average current. My problem is, how do you find the average inductor current assuming Vbatt is 13.8V? (Please ignore questions b and c.)

• What is the average voltage of Vs? What is the Vbat initial voltage? The difference across 0.1 ohm controls the average current. It cannot be solved unless Vbat is known or you assume from b) Vbatt=13.8V or dead at 11.5V if an auto battery. Dec 8, 2017 at 5:02
• Okay, let's say Vbatt is 13.8V. Dec 8, 2017 at 5:02
• Now use Vavg of input and Ohm's law Dec 8, 2017 at 5:03
• Yes, I've thought about that but what about the voltage across the inductor? Shouldn't it be a series of discontinuous sawtooth pulses? Dec 8, 2017 at 5:04
• No , They define Vs as 24 or 0 so it is continuous so all sources are 0 ohm as well as L Dec 8, 2017 at 5:05