# Electromagnetic induction problem

by oportunity
Tags: electromagnetic, induction
 P: 9 1. The problem statement, all variables and given/known data http://imageshack.us/photo/my-images/194/55132039.png/ How much curret flows trough circuit ABCD when the center of the circuit (O) is distance r from the straight wire? I think these are the relevant equations: ∅=B.dS E=-d∅ /dt B= μoI/2∏r But i have trouble with dS. i know that is has to be rewritten like e.g. ds= ydx=yvdt and that way eliminate dt but in this case i dont know how to do it. Thanks
 PF Patron HW Helper P: 3,777 Well, obviously v is associated with dψ/dt where ψ = ∫BdS (apperently you are using S for area.) (Sorry, the symbol table does not have a Greek letter for "phi", can't imagine how that fell thru the cracks). You have the right formula for B(r), you know v = dr/dt, right? So how does ∫BdS change with time? S doesn't change with time, it's just the area of the square .... so it must be B that is changing ...

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