Magnetism Problems

Magnetism Problems

1. A uniform magnetic field has a magnitude of 0.078 T passes through a circular surface of radius 0.10 m. The B-field is oriented at an angle of 25° to the normal of the surface. What is the magnetic flux through the surface?

2. A house has a floor area of 112 m² and an outside wall that has an area of 28 m². the earth’s magnetic field at that location has a horizontal component of 2.6 x 10-5 T, north, and a vertical component of 4.2 x 10-5 T, down. Determine the magnetic flux through the wall if the wall faces (a) north, and (b) east. (c) Calculate the magnetic flux that passes through the floor.

3. A magnetic flux of 0.545 Wb exists passes exists in a square surface of side length 0.963 meter. The magnetic field that passes through the surface is oriented at 55° to the normal of the surface. Calculate the strength of this B-field.

4. The magnetic flux through a triangular surface of base 2.50 m and height 1.25 m is 3.70 Wb. Calculate the strength of the magnetic field that passes through this surface if it is oriented (a) perpendicular to the surface, and (b) at a 30° to the surface.

5. A magnetic field of strength 2.75 T passes through a surface of area 10.0 m². If the magnetic flux through the surface is 14.6 Wb. What is the angle between the field direction and the surface normal line?

6. At a certain location, the horizontal component of the earth’s magnetic field is 2.5 x 10-5 T, due north. A proton (m = 1.67 x 10-27 kg, q = 1.6 x 10-19 C) moves in a perpendicular direction with just the right speed, so the magnetic force on it balances its weight. Calculate the velocity of the proton.

7. A charge of magnitude -8.3 x 10-6 C is traveling south at a speed of 7.4 x 106 m/s in a region of space where there is a magnetic field. A downward force of 0.0054 N acts on the charge. What is the magnitude and direction of the magnetic field in that region?

8. A particle with a charge of +8.4 x 10-5 C and a velocity of 45 m/s, west, enters a uniform magnetic field of magnitude 0.30 T that points upward. Calculate the force that acts on the particle when it first encounters the field.

9. An electron (m = 9.11 x 10-31 kg) is moving at 6.80 x 106 m/s, north, when it encounters a magnetic field directed west. This field causes the electron to move in a circular path of radius 10.0 meters. Calculate the magnitude of this magnetic field.