A conducting rod with a length of 25 cm is placed on a U-shaped metal wire that

Question

A conducting rod with a length of 25 cm is placed on a U-shaped metal wire that has a resistance Rof 8.0 ? as shown in the figure. The wire and the rod are placed in the plane of the paper. A constant magnetic field of strength 0.40 T is applied perpendicular into the paper. An applied force moves the rod to the right with a constant speed of 6.0 m/s. What is the magnitude and direction of the induced current in the wire?

I know the answer is 75 mA  counterclockwise...I just don't get how.

A conducting rod with a length of 25 cm is placed on a U-shaped metal wire that has a resistance Rof 8.0 ? as shown in the figure. The wire and the rod are placed in the plane of the paper. A constant magnetic field of strength 0.40 T is applied perpendicular into the paper. An applied force moves the rod to the right with a constant speed of 6.0 m/s. What is the magnitude and direction of the induced current in the wire?

Explanation / Answer

Apply EMF = BLv

Also EMF = IR

Thus IR = BLv

(I)(8) = (.4)(.25)(6)

I = .075 A (75 mA)

Counterclockwise is due to Lenz Law. The current must oppose the B field that created it, so It must produce its own B field out of the page. To do that current flows counterclockwise. (Use the right hand rule)

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