Derive F = BIL by starting with a single charge formula F = qvB and recognizing that current is simply I = Q/t...

Question

Derive F = BIL by starting with a single charge formula F = qvB and recognizing that current is simply I = Q/t.

Answer 1

F = qvB

 

I = q/t ⇒ q = tI

 

Assume v = drift speed = L/t along a wire of length L

 

Then

 

F = (tI)(L/t)B = ILB

Answer 2

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