Balancing area of a loop and magnetic field through it

1. Aug 30, 2009

uzair_ha91

Question: Is it possible to change both the area of the loop and the magnetic field passing through the loop and still not have an induced emf in the loop?
Equation: change in Magnetic flux= area * magnetic flux density
My attempt: If the magnitude of magnetic field is changing, then by either increasing or decreasing the area of the loop, the change in magnetic flux associated with the loop can be kept constant. Then the induced emf will be zero.
Can you somehow prove this through the equation, numbers? Would appreciate the help.

2. Aug 31, 2009

rock.freak667

Φ=BA

Say initially you have Φ0=B0A0. Then decrease B0 by 1/2 (so B1=1/2B0) and you increase the area by a factor of 2 (A1=2A0)

Φ1=B1A1 =(1/2 B0 *2A0)=B0A00

if the changes occur in the same time interval,t, then E0=E1

Once there is a change in magnetic flux, there will be an emf induced. So as much as I can say, even if you decrease one and increase the other and emf is still being induced, it just has the same value as before. So the net emf induced would be zero.