Finding loop current with time-varying magnetic field B_z=at²-b

  • Thread starter Thread starter Lance WIlliam
  • Start date Start date
  • Tags Tags
    Current Loop
Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
1 reply · 5K views
Lance WIlliam
Messages
47
Reaction score
0

Homework Statement



A conducting loop with area 0.13m^2 and resistance 5.0 ohms lies in the x-y plane. A spatially uniform magnetic field points in the z direction. The fields varies with time according to B_z_=at^2 - b, what a=2.4 T/s^2 and b=8.2 T

Find the loop current t=1.5s

I= A

Homework Equations



Im looking for I and I am given a R so I know I use I=emf/ R
Im guessing my 1st step is to find "emf" but there lies my problem...how should I go about it?
Thankyou.

The Attempt at a Solution

 
Physics news on Phys.org
Just apply Faraday's law. Now of course the question is how exactly do you apply it? Note that magnetic flux through a conducting loop changes if either the strength or direction of the field varies with time.