In the figure, a 64.0 cm rod is moving on rails 59.5 cm apart with a speed of 1.

Question

In the figure, a 64.0 cm rod is moving on rails 59.5 cm apart with a speed of 1.1 m/s in a 0.95 T magnetic field. The resistance of the current path (U-shaped conductor and the bar) is 28.0 ?.

(a) Calculate the induced emf.
V
(b) Calculate the current in the U-shaped conductor at the moment.
mA
(c) Calculate the external force needed to keep the rod's velocity constant.
mN (to the right)

In the figure, a 64.0 cm rod is moving on rails 59.5 cm apart with a speed of 1.1 m/s in a 0.95 T magnetic field. The resistance of the current path (U-shaped conductor and the bar) is 28.0 ?. (a) Calculate the induced emf. V (b) Calculate the current in the U-shaped conductor at the moment. mA (c) Calculate the external force needed to keep the rod's velocity constant. mN (to the right)

Explanation / Answer

a)

Here ,

Induced EMF = BVL

EMF = 0.95 * 0.595 * 1.1

EMF = 0.622 V

the induced EMF is 0.622 V

b)

using Ohm's law

Current = V/R

Current = 0.622/28

Current = 0.0222 A

current in the conductor is 22.2 mA

c)

FOrce = BIL

Force = 0.95 * 0.0222*0.595

Force = 0.0126 N

the external force needed is 12.6 mN

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