ESCUELA PREPARATORIA 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.
Instructions: Read and apply the equations of electromagnetism to solve problems.
1. The area of a rectangular
loop is 200 cm2 and the plane of the loop makes an angle of
41° 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 0.6 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
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