Site all assumptions (values not given, equations, and physics laws) and NEATLY
ID: 1539367 • Letter: S
Question
Site all assumptions (values not given, equations, and physics laws) and NEATLY show ALL work.
The motion of a conductor in the Earth's magnetic field creates a potential difference between its ends. The horizontal component of the Earth's magnetic field is about 25 mu T at the surface, and points north. If a car is traveling due east at 65 mph. what is the induced voltage between the ends of a vertical radio antenna that is 2 ft tall? A DC-10 jet aircraft has a wingspan of about 150 ft. If it is flying horizontally at 600 mph in a place where the vertical component of the Earth's magnetic field is 60 mu T, what is the induced voltage between its wingtips?Explanation / Answer
a)
B = magnetic field = 25 x 10-6 T towards north
L = length of antenna = 2 ft = 0.61 m
v = speed = 65 mph = 29.1 m/s
induced emf is given as
E = BLv = (25 x 10-6) (0.61) (29.1) = 0.000444 volts
b)
B = magnetic field = 60 x 10-6 T vertically
L = length of antenna = 150 ft = 45.72 m
v = speed = 600 mph = 268.22 m/s
induced emf is given as
E = BLv = (60 x 10-6) (45.72) (268.22) = 0.74 volts