Why Is My Calculation of EMF in Electromagnetic Induction Incorrect?

AI Thread Summary
The discussion centers on calculating the induced electromotive force (emf) in a wire moving through a magnetic field. The magnetic flux density is given as 0.5T, with the wire measuring 5cm and moving at 100 cm/s at a 60-degree angle to the horizontal. The correct formula for emf is applied, but there is confusion regarding the angle used in the calculation. The user calculates an emf of 0.022 V, while the book states it should be 0.0125 V, indicating a misunderstanding of the angle's orientation relative to the magnetic field. The key issue lies in the interpretation of the angle between the wire and the magnetic field.
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Electromagnetic Induction Problem : Help needed
The flux density B in a region between the pole faces of a horse shoe magnet is 0.5T directed vertically downward. Find the emf induced in a straight wire 5cm long, perpendicular to B when it is moved in a direction at an angle of 60 degrees with the horizontal with a speed of 100 cm/s...

Answer in book= 0.0125 V

I'm getting 0.022 V by applying the formula: emf=vBLsin60
It's supposed to be quite straightforward, what am i missing then?
 
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the angle 60 is measured to the horizontal, so the magnetic field is at angle of 30 degrees to the wire.
 

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