Why does this equation make sense on a shorted coil?

[smarine]

Suppose, there's a shorted coil which has a wire resistance R.

 

Also, current i is flowing through the wire.

 

Then, my book is saying that flux linkage "lamda" satisfies the equation

 

" - i R = d(lamda)/dt "

[swansont]

Suppose, there's a shorted coil which has a wire resistance R.

 

Also, current i is flowing through the wire.

 

Then, my book is saying that flux linkage "lamda" satisfies the equation

 

" - i R = d(lamda)/dt "

 

That's the equation for Faraday's law of induction, with the substitution that V = IR, which holds in this circuit.

[smarine]

But I think that "V = d(lamda)/dt" is Faraday's law of induction, and the sign "- i R" doesn't make sense.

[swansont]

V=IR

 

The sign is the convention for the direction of current flow, given a particular change in field