ELECTROMAGNETISM PROBLEMS-2013

 

ESCUELA PREPARATORIA  OFICIAL  ANEXA A LA NORMAL NO. 1 DE TOLUCA

 
 
 
ELECTROMAGNETISM PROBLEMS : Application of magnetic induction and types of coils.
 
Instructions: Read and apply the equations of electromagnetism to solve problems.
 

1. The area of a rectangular  loop is 100 cm² and the plane of the loop makes an angle of 40° with a 0.28 T magnetic field. What is the magnetics flux penetrating the lopp?

 

2. A coil of wire 30 cm  in diameter is perpendicular to a 0.5 T magnetic field. If the coil turns so that it makes an angle of 60° with the field, what is the change in flux?

 

3. A constant horizontal field of 0.5 T pierces a rectangular loop 120 mm and 70 mm wide. Determine the magnetic flux through the loop when its plane makes the following with the B field : 0°, 30 °, 60 ° and 90 °

 

4. A flux of 13.6 mWb penetrates a coil of wire 240 mm in diameter. Find the magnitude  of the magnetic flux density if the plane of the coil is perpendicular  to the field.

 

5. A rectangular loop 25 X 15 cm is oriented so that its plane makes an angle θ with a 0.6 T B field. What is the angle θ if the magnetic flux linking the loop is 0.015Wb?

 

6. A proton ( q= + 1.6 x 10^-19C) is injected to the right into a B field of 0.4 T directed upward . If  the velocity of the proton is 2 x 10⁶m/s, what are the magnitude and direction of the magnetic force on the proton?

 

7. An alpha particle ( +2e) is projected with a velocity of 3.6x10⁶m/s into a 0.12 T magnetic field. What is the magnetic force on the charge at the instant its velocity is directed at an angle of 35° with the magnetic flux?

 

8. What is the magnetic induction B in air at a point 4 cm from a long wire carrying a current of 6 A?

 

9. Find the magnetic induction B in air 8 mm from a long wire carrying a current of 14.0 A?

 

10. A circular coil having 40 turns  of wire in air has a radius of 6 cm and is in the  plane of the paper. What current must exist in the coil to produce a flux density of 2mT at its center?

 

11. A solenoid of lenght 30 cm and diameter  4 cm is closely wound  with 400 turns of wire around a nonmagnetic material. If the current in the wire is 6 A, determine the magnetic induction along the center of the solenoid.

 

12. A circular coil having 60 turns a radius of 75 mm. What current must exist in the coil to produce a flux density of 300

µT at the center of the coil?

 

13. A circular loop 240 mm in diameter supports a current of 7.8 A . If it is submerged in a medium of relative permeability 2.0, what is the magnetic induction at the center?

 

 

Remember to translate and solve them in your notebook with the whole process of calculation.

Fecha de entrega: 08/noviembre/2013