A boy is is traveling due north at a constant speed while carrying a metal rod.
ID: 1494338 • Letter: A
Question
A boy is is traveling due north at a constant speed while carrying a metal rod. The rods length is oriented in the east-west direction and is parallel to the ground. (A) there will be no induced emf when the rod is (1) at the equator. (2) near the earths magnetic poles, (3) somewhere between the equator and the poles . Why? (B) assume that the earths magnetic field is 1.0x10^-4 T near the North Pole and 1.0x10^-5T near the equator. If the boy runs with a speed of 1.3 m/s northward near each location and the rod is 1.5 m long calculate the induced emf in the rod in each location
Explanation / Answer
1. at the equator, the induced emf will get maximum when the rod and magnetic field are perpendicular, at equator, the east west component are highly domienent than north -south comoponent, so the rod and earth magentetic field are in parellel. hence, there is no induced emf,whereas in pole it is completely vertical.
2.at pole,
the induced emf= vBl, where v is the velocity of the rod, B= magnetic field, l= length of the rod
emf= 1.3*1.0*10-4*1.5= 1.95*10-4 V
at equator
emf= 1.3*1.0*10-5*1.5= 1.95*10-5 V
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