10 . A copper rod is sliding on two conducting rails that make an angle of 20 wi

Question

10. A copper rod is sliding on two conducting rails that make an angle of 20 with respect to each other, as in the drawing. The rod is moving to the right with a constant speed of 0.50 m/s. A 0.35-T uniform magnetic field is perpendicular to the plane of the paper. Determine the magnitude of the average emf induced in the triangle ABC during the 6.70-s period after the rod has passed point A.   V

10. A copper rod is sliding on two conducting rails that make an angle of 20 with respect to each other, as in the drawing. The rod is moving to the right with a constant speed of 0.50 m/s. A 0.35-T uniform magnetic field is perpendicular to the plane of the paper. Determine the magnitude of the average emf induced in the triangle ABC during the 6.70-s period after the rod has passed point A. V

Explanation / Answer

E=-d(BA)/dt=-BdA/dt=

change in area=dA/dt=area of triangle ABC in time 6.7 s=horizontal distance*vertical distance=s*p

s=vt=0.5*6.7

p=s(tan20)

dA/dt=s2tan20

E=-0.35*(0.5*6.7)2tan20

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