Matter & Interactions 2nd ed. Practice Problems
Aaron Titus | High Point University
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2hd0001     Deflection of a compass needle by a dipole magnet     2hd0001
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Derive an expression for the magnetic field at the center of a solenoid with N turns (or loops) of wire, length L, and current I. If the length of the solenoid is much greater than its radius R, show that the magnetic field at the center is


Figure: Solenoid

 

2h30001     Acceleration of an alpha particle by charged plates     2h30001
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A proton is at the origin and is moving in the +y direction with a speed of m/s, as shown below. What is the magnetic field at each of the points shown? Note: the points are symmetric, the distance between points C and E is , and the distance between points B and C is .


Figure: Find the magnetic field at various points around a moving charged particle.

 

2ha0001     Deflection of a compass needle by a dipole magnet     2ha0001
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A dipole magnet and compass are arranged as shown below, with the dipole aligned East-West with the compass. The dipole moment of the magnet is and its center is 20 cm from the center of a compass. The magnetic field of Earth is shown.

  1. Sketch and calculate the deflection of the compass needle from North.
  2. If you replace the magnetic dipole with a thin coil of radius 2 cm and 20 turns at the same location, what must be the current in the coil to give the same deflection of the compass needle as the dipole magnet?


Figure: Dipole magnet and compass.

 


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