A metal bar of length 0.50m moves in a region of constant magnetic field. The field is into the paper and.....
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A metal bar of length 0.50m moves in a region of constant magnetic field. The field is into the paper and.....

[From: ] [author: ] [Date: 12-08-13] [Hit: ]
What is the current? Notice the resistance value.c. What is the direction of the current?d. What force (magnitude and direction) is required to maintain the 2m/s velocity?......
has a magnitude of 250mT.

a. What is the induced Emf?
b. What is the current? Notice the resistance value.
c. What is the direction of the current? (CW or CCW)
d. What force (magnitude and direction) is required to maintain the 2m/s velocity?

There is a resistor of 10 ohms in the problem and v=2m/s.
For A and B, I am merely checking my work. I am not sure about C and D, though.
Any help would be appreciated!

-
a) emf = | - (d/dt) Phi | = | - (250 mT)(0.50 m)(2 m/s) | = 250 mV
b) I = V/R = 250 mV / 10 ohms = 25 mA
c) CW -- Use the right hand rule. The amount of flux into the paper is increasing, so your thumb should point down, and your fingers curl CW.
d) We can use the lorentz force law to figure out how much force is applied by the magnetic field to the bar. To keep the bar moving, we would need to apply the opposite force.
F = I L x B = (25 mA)(0.50 m)(250 mT) = 0.003125 N [outward]
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