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## Homework Statement

A 4.0 cm diameter coil (1000 turns) is at rest in the XY plane. The magnetic field in this region of space is given by B=(0.30i + 0.50t

^{2}k) What is the induced EMF in the coil at t=2.0 seconds

## Homework Equations

ε=dΦ/dt

Φ=ABcosθ

## The Attempt at a Solution

ε=[/B]d/dt( πr

^{2})(0.03i+0.5t

^{2}k) Cosθ

ε=πr

^{2}cosθ *0.5*2t k

Using trig I found θ=59° and plugging in the numbers I got ε=0.00129V k

I assume I did something wrong. Is this anywhere close to the proper method?