Magnetic Fields and Forces Quiz

Magnetic Force Formulas

• The formula for the force of a magnetic field on a current-carrying wire is F = BIL sin(θ), where F is the force, B is the magnetic field strength, I is the current, L is the length of the wire, and θ is the angle between the wire and the magnetic field.
• The formula for the force of a magnetic field on a charge moving with velocity v is F = qvB sin(θ), where F is the force, q is the charge, v is the velocity, B is the magnetic field strength, and θ is the angle between the velocity and the magnetic field.

Magnetic Force and Acceleration

• The magnitude of the magnetic force and acceleration of a proton when it encounters a magnetic field of 0.40 T at an angle of 30 degrees can be calculated using the formula F = qvB sin(θ).
• The acceleration of the proton can be calculated using the formula a = F/m, where a is the acceleration, F is the magnetic force, and m is the mass of the proton.

Magnetic Field Strength

• The magnetic field strength (B) can be calculated using the formula B = 2 x 10^-7(I/r), where I is the current and r is the distance from the wire.
• The magnetic field strength (B) can also be calculated using the formula F = 2.2 x 10^-8 N, where F is the force and B is the magnetic field strength.

Current and Magnetic Force

• The magnitude of the current required to remove the tension in the supporting leads for the wire suspended in a uniform magnetic field can be calculated using the formula F = BIL sin(θ).
• The magnetic force needed to provide a current of 3.3 x 10^8 A for the new design of an electric train can be calculated using the formula F = BIL sin(θ).