#5, the answer is counterclockwise direction? #5. The direction of the magnetic force acting on the metal rail due to its current interacting with the external magnetic field

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Chapter1: Units, Trigonometry. And Vectors
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Can you explain to me why for #5, the answer is counterclockwise direction?

#5. The direction of the magnetic force acting on the metal rail due to its current interacting with the external magnetic field

#8 - A metal rail slides outwards on a U-shaped metal bar located within the x-y
conducting bar
plane. The rail is initially located a distance of y = 1 m from the back side of the bar
and is traveling with a speed of v = Ay/At = 0.5 m/s. The bar has a width of L = 1m
and a resistance of R = 3 Q. The rail and the bar are within a constant external
magnetic field B = 7 T directed in the -z direction. Note that the enclosed area = A =
В
(L)(y), and AA = (L)(Ay).
Enter the following quantities, one per line, in the same order given below.
Numerical answers must also include appropriate units.
L
1. The numerical value (with units) of the initial magnetic flux through the enclosed area (when y = 1 m)
2. The direction of the induced EMF
3. The numerical value (with units) of the induced EMF
4. The numerical value (with units) of the current induced in the ring
5. The direction of the magnetic force acting on the metal rail due to its current interacting with the external
magnetic field
Transcribed Image Text:#8 - A metal rail slides outwards on a U-shaped metal bar located within the x-y conducting bar plane. The rail is initially located a distance of y = 1 m from the back side of the bar and is traveling with a speed of v = Ay/At = 0.5 m/s. The bar has a width of L = 1m and a resistance of R = 3 Q. The rail and the bar are within a constant external magnetic field B = 7 T directed in the -z direction. Note that the enclosed area = A = В (L)(y), and AA = (L)(Ay). Enter the following quantities, one per line, in the same order given below. Numerical answers must also include appropriate units. L 1. The numerical value (with units) of the initial magnetic flux through the enclosed area (when y = 1 m) 2. The direction of the induced EMF 3. The numerical value (with units) of the induced EMF 4. The numerical value (with units) of the current induced in the ring 5. The direction of the magnetic force acting on the metal rail due to its current interacting with the external magnetic field
Expert Solution
Step 1

The magnetic force due to the induced current is counter clockwise direction as the induced current flows in the direction. The direction of the magnetic field is determined by right hand rule such that thump represents the direction of the current and curling of fingers represents the direction of the magnetic field. 

Let assume that there are regions; inner region and outer region. In left and right outer regions of the rail, the magnetic fields would be repulsive but in the inner regions, the magnetic fields attractive. They means that outer ends of the bar tries to levitate.

   

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