Wire coil in decreasing magnetic field

[Pete Panopoulos]

Homework Statement

A wire coil of 2 cm with 10 turns is in a magnetic field of 2 T. The field is perpendicular to the plane of each turn of the coil. The coil is wired in series with resistor of 5 Ω. The field drops at a constant rate to 0.0 T in 10 ms. What is the current through the resistor?

Homework Equations

V=IR
Possibly F=ILxB ?
Magnetic Flux= B⋅dA = Bπr²

The Attempt at a Solution

I=V/R

We know that the magnetic field drops from 2T to 0T in .01 seconds, or -200T/s

and the Resistor is 5 Ω

Flux= B⋅dA = Bπ(.02)²

I'm assuming I'm missing a link to these things in my head any help would be appreciated

 

[TSny]

Can you bring in Faraday's law of induction?