Electromagnetic Induction Problem : Help needed

In summary, the problem involves finding the induced emf in a straight wire moved at an angle of 60 degrees with a speed of 100 cm/s in a region with a flux density of 0.5T directed vertically downward. The answer in the book is 0.0125 V, but the person is getting 0.022 V using the formula emf=vBLsin60. They are wondering what they may be missing, as the magnetic field is at an angle of 30 degrees to the wire.
  • #1
uzair_ha91
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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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  • #2
the angle 60 is measured to the horizontal, so the magnetic field is at angle of 30 degrees to the wire.
 
  • #3


I would suggest re-checking the calculations and the units used in the formula. It is important to ensure that all the values are in the correct units (e.g. meters instead of centimeters) and that the mathematical operations are accurate. Additionally, it is important to note that the speed given is in cm/s, so it may need to be converted to m/s before being used in the formula. If the calculations still do not match the given answer, it is possible that there may be a mistake in the given answer or in the problem itself. It may be helpful to consult with a peer or instructor for further clarification and to double check the solution.
 

1. What is electromagnetic induction?

Electromagnetic induction is the process by which an electric current is produced in a conductor when it is exposed to a changing magnetic field.

2. How does electromagnetic induction work?

Electromagnetic induction works through the interaction between a moving magnetic field and a conductor. This creates a force that causes electrons to move, producing an electric current.

3. What is the relationship between magnetic fields and electric currents in electromagnetic induction?

Magnetic fields and electric currents are closely related in electromagnetic induction. A changing magnetic field can induce an electric current in a conductor, and an electric current can produce a magnetic field. This process is the basis for generators and transformers.

4. What factors affect the magnitude of induced current in electromagnetic induction?

The magnitude of induced current in electromagnetic induction can be affected by factors such as the strength and direction of the magnetic field, the speed at which the field changes, and the properties of the conductor (such as its length and resistance).

5. How is electromagnetic induction used in everyday life?

Electromagnetic induction has a variety of practical applications, such as in generators (which produce electricity), transformers (which change the voltage of electricity), and induction cooktops (which use magnetic fields to heat metal pans). It is also used in devices like microphones, speakers, and electric motors.

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