Please help me out to calculate the short pulse and voltage of capacitor

I have a inductive load i.e. motor which works under below condition .

V= 5vdc

I=200mA

Now I want to put a capacitor across 5vdc.

So if I know the inductance of of a motor.

Now how will I calculate a

1. short pulse time means DeltaT

2. Peak current during short pulse

2. Voltage dip_ DeltaV

If capacitance is fixed let's say 47uF and let's assume some inductance.

I know some below formula

DeltaV= ((I×deltaT)/C)

But there is 3 unknown quantity i. e DeltaV, deltaT and Ipulsed

I want to do its theoretical calculation.

I am not much sure about above so please help me out. It was just an assumption.