Induced EMF in a coil

  • #1
ReidMerrill
68
2

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 + 0.50t2 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( 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?
 

Answers and Replies

  • #2
NascentOxygen
Staff Emeritus
Science Advisor
9,242
1,073
You need to first sketch the correct diagram! Draw a circle, and position your co-ordinate system inside that circle (the ring) appropriately.
 

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