b) The emf around the loop causes a current to flow. How large is that current?

Question

b) The emf around the loop causes a current to flow. How large is that current? (Use a positive value for clockwise direction.)

c) From your previous results, what must be the electrical resistance of the loop? (The resistance of the rails is negligible compared to the resistance of the rod, so the resistance of the loop is constant.)

When the magnetic field is uniform, flux is field times area. In this problem the area is changing with time, rather than the field. A conducting rod is pulled horizontally with constant force F= 3.60 N along a set of rails separated by d= 0.62 m. A uniform magnetic field B= 0.750 T is directed into the page. There is no friction between the rod and the rails, and the rod moves with constant velocity v= 3.52 m/s. Calculate the magnitude of the induced emf around the loop in the figure, due to Faraday's Law and the changing flux. b) The emf around the loop causes a current to flow. How large is that current? (Use a positive value for clockwise direction.) c) From your previous results, what must be the electrical resistance of the loop? (The resistance of the rails is negligible compared to the resistance of the rod, so the resistance of the loop is constant.)

Explanation / Answer

Part - a

given that ::

force, F = 3.6 N

Length, L = 0.62 m

magnetic field, B = 0.75 t

constant velocity, v = 3.52 m/s

the induced emf around the loop due to Faraday's Law and the changing flux is given as :;

E = Blv       { equation 1 }

inserting values in above equation,

E = (0.75 T) (0.62 m) (3.52 m/s)

E = 1.63 V

Part - b :

F = B I L    { equation 2 }

inserting a value in equation 2,

3.6 N = (0.75 T) ( I ) (0.62 M)

I = 7.74 A

Part - c :

electrical resistance of the loop, R is given as ::

R = E / I                  { equation 3 }

inserting values in above equation,

R = 1.63 V / 7.74 A

R = 0.21 ohm

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