The figure below shows a rod, of negligible resistance, sliding to the right on

Question

The figure below shows a rod, of negligible resistance, sliding to the right on two rails, also of negligible resistance. The rails are separated by a distance of L= 0.45m. The rails are connected by a 12.5 ohm resistor, and the entire system is in a uniform magnetic field with a magnitude of 0.58 T

Find the magnitude of the induced current if the speed of the bar is 3.6 m/s

Find the direction of the induced current in the circuit

Find the magnitude and direction of the external force required to maintain the rod’s constant speed of 3.6 m/s

Explanation / Answer

Here ,

L = 0.45 m

resistance , R = 12.5 Ohm

B = 0.58 T

a) speed of rod , v = 3.6 m/s

magnitude of induced current = B *v * L/R

magnitude of induced current = 0.45 * 0.58 * 3.6/12.5

magnitude of induced current = 0.0752 A

Using Lenz's law , as the applied magnetic field is into the page

the direction of induced curret is into the page.

magnitude of external force = B * I * L

magnitude of external force = 0.58 * 0.45 * 0.0752 N

magnitude of external force = 0.0196 N

the direction of force is to the right

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