Calc EMF Induced in Flat Circular Coil: 100T, 10cm Radius

[Andromache]

A flat, circular coil has 100 turns of wire, each of radius 10cm. A uniform magnetic field exists in a direction perpendicular to plane of coil. The field is increasing at a rate of 0.1 T/s. Calculate the EMF induced in the coil.

Can anyone point me in the right direction? I'm awful with electromagnetism.

 

[Matterwave]

Do you know Faraday's law? This is a pretty straight forward application of Faraday's law. Just do the EMF induced in 1 turn of the wire, and then multiply by 100 since there's 100 turns. It's just that simple.

 

[Andromache]

It's finding the EMF induced in one turn that's the problem. I know EMF=-d$$\Phi$$/dt but I don't know how to find that when I'm just given the rate of increase of B.

 

[Matterwave]

$$\Phi=\int_S{BdA}$$

Now, since the B field is constant over that surface, and is perpendicular to that surface:

$$\Phi=B*A$$

Therefore

$$\frac{d\Phi}{dt}=\frac{d(B*A)}{dt}$$

Can you figure it out from there?

 

[Andromache]

Thanks for your help. Iurns out I was using the circumference rather than the area, which was giving me the wrong answer!