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Please explain with details. A conducting rod whose length is 25 cm is placed on

ID: 2252301 • Letter: P

Question

Please explain with details.


A conducting rod whose length is 25 cm is placed on a U-shaped metal wire that has a resistance R of 8 as shown in Fig. 29-12. The wire and the rod are in the plane of the paper. A constant magnetic field of strength 0.4 T is applied perpendicular and into the paper. An applied force moves the rod to the right with a constant speed of 6 m/s.

(a) What is the magnitude of the induced emf in the wire?

(b) What is the magnitude and direction of the induced current in the wire?

A conducting rod whose length is 25 cm is placed on a U-shaped metal wire that has a resistance R of 8 as shown in Fig. 29-12. The wire and the rod are in the plane of the paper. A constant magnetic field of strength 0.4 T is applied perpendicular and into the paper. An applied force moves the rod to the right with a constant speed of 6 m/s. What is the magnitude of the induced emf in the wire? What is the magnitude and direction of the induced current in the wire?

Explanation / Answer

a. induced emf e = lvB sin theta

e = 0.25*6*0.4

e = 0.6 volts


induced current i = e/R = 0.6/8 =0.075 Amps

in a counter clock wise direction