A metal rod with a length of 30.0 cm lies in the xy-planeand makes an angle of 36.9 ? with the positive x-axisand an angle of 53.1 ? with the positive y-axis. The rod is moving in the + x-direction with a speed of 4.90 m/s. The rod is in a uniform magnetic field B? =( 0.100 T )i^?( 0.290 T )j^?( 8.00×10?2 T )k^
A.) What is the magnitude of the emf induced in the rod?
The emf induced across a conductor by moving it with a velocity through a magnetic field is known as motional emf. Motional emf in vector form is given by the following line integral along the length of the conductor.
Also
Therefore,
So
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