- #1
imranh88
- 6
- 3
- Homework Statement
- Electromagnetism EMF induction help
- Relevant Equations
- Faradays law
A square conducting loop of side length a is in a non-uniform magnetic field. The loop occupies the first quadrant of the xy plane, i.e. the space between the origin (x, y) = (0,0) and the point (x,y) = (a, a). The magnetic field is in the +z direction. Develop an expression for the magnitude of the emf induced in the coil, if: a) The magnetic field magnitude is increasing with time and is given by B(x, y, t) = Boxyt3? 18 marks b) The magnetic field magnitude is constant with respect to time and is given by B(x, y) = Box" y, but the loop is moving along the + y direction at a constant speed v? (You can assume that loop position described above is for t=0 s). 18 marks What is the direction of the induced emf for the two cases? 14 marks [20 marks total]