Hi,
If I understand you right, you are going to charge up an inductor of 1.75mH with a DC source that takes the current up to 6 amps, then discharge it into a 10 Ohm resistor.
For this the overall circuit function changes from E=L*di/dt because there is also resistance in the circuit, although that is still how the inductor itself behaves.
The formula for the circuit would be:
iL=-i0*e^(-t*R/L)
where
iL is the decreasing current through R over time,
i0 is the initial inductor current (6 amps),
R is the resistor value (10),
L is the inductor value (1.75mH),
t is time in seconds.
You can ignore the minus sign and use:
iL=i0*e^(-t*R/L)
Using the values you provided this comes out to:
iL=6*e^(-5714.285714285715*t)
What this tells us is that after one time constant (175us) the current will be down to about 2.2 amps, and after 5 time constants (875us) the current will be less than 0.05 amps.
It's also interesting that the voltage will start out at 6*10=60 volts and gradually decrease over time in a similar manner to how the current decreases. Ohms Law: E=i*R, with 'i' decreasing over time.
The current (and also the voltage across the resistor) will be almost zero in less than 1 millisecond, is this something you want to happen?
