How Does Lenz's Law Apply to EMF in a Triaxially Bent Wire?

[ghetto_bird25]

Homework Statement

A wire is bent into three circular segments each of radius r=9.2 cm. each segment is a quadrant of circle, ab lying in the xy plane, bc, in the yz plane, and ca lying in the zx plane. If a uniform magnetic field points in the positive x direction, what is in volts the magnitude of the emf developed in the wire when B increases at the rate of 3.4 mT/s?
http://edugen.wiley.com/edugen/courses/crs1141/art/images/c31/nw0500-n.gif

Homework Equations

so what i used was faraday's law and lenz's law by using the formula
$$\epsilon$$=d(B A)/dt
and then since area (A) is constant you can bring it out. and area would equal 1/4$$\pi$$r$$^{2}$$ and the dB/dt is given. the only problem is that i don't know what to do with the components as you have the pieces on all three axis and how wood i deal with each component?

 

[pam]

There are no components for the EMF. Your projected area seems right.
Just multiply A and dB/dt.

 

[ghetto_bird25]

oh so jus do it for each section and add it up or make it 3/4pi*r^2 time dB/dt

 

[pam]

No. The projected area area for the flux is just the pi*r^2/4.

 

[ghetto_bird25]

oh ok thanks a lot