Plz answer the questions In a region of space where the magnetic field of the ea

Question

Plz answer the questions

In a region of space where the magnetic field of the earth has a magnitude of 80 MuT and is directed 30 degree below the horizontal, a 50-cm length of wire oriented horizontally along an east-west direction is moved horizontally to the south with a speed of 20 m/s. What is the magnitude of the induced potential difference between the ends of this wire? A bar (L = 80 cm) moves on two frictionless rails, as shown, in a region where the magnetic field is uniform (B = 0.30 T) and into the paper. If y =50 cm/s and R = 60 m Ohm, what is the magnetic force on the moving bar?

Explanation / Answer

Part 1)

Apply EMF = BLvsin(angle)

EMF = (80 X 10-6)(.5)(20)(sin 30)

EMF = 4 X 10-4 V (That is .4 mV)

Part 2)

Start with EMF = IR = BLv

(I)(.06) = (.3)(.8)(.5)

I = 2 Amps

Then F = BIL

F = (.3)(2)(.8)

F = .48 N

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