Proof of common sense when maths is lacking concept

[Ratch]

TB1,

So you're saying I could force it into that form after partial fractions, interesting.
THOUGH it would take ages to even get to (1) if you didn't have a computer to aid in expanding and simplifying the fraction, wouldn't it?

Yep, lots of work without a computer. But you can see that eq(6) is the same equation as eq(1).

Also, I don't quite see where H came from when you introduced it.

After rationalizing the left side, I multiplied the numerator by what it took to make it look like the right side. The multiplier was "H". Of course, I also had to multiply the denominator by the same multiplier to balance the fraction out.

Ratch

 

[sophiecentaur]

I'm not quite sure what you mean. I can't see how you could argue that the induced voltage from flux cutting the rotor windings could be attributed to self-inductance.

'Equivalent Circuits' don't always make physical sense, I know, but when you start a motor, a lot of energy goes in. The rate of current reduction will be exponential with a time constant. That can be modeled with a CR series circuit across a parallel resistor. It's a simplification but it even works as the supply volts are reduced.