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 + 0.50t2 k) What is the induced EMF in the coil at t=2.0 seconds
The Attempt at a Solution
ε=[/B]d/dt( πr2)(0.03i+0.5t2 k) Cosθ
ε=πr2cosθ *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?