Question

1) Determine the magnitude of the magnetic field that causes a circular path with a radius of 0.800 m in a proton with a speed perpendicular to the field of 7.5 x 107 m / s.

2) Determine the induced Hall voltage at the heart of a person on an MRI machine if the distance traveled is 7.50 cm, at 10.0 cm / s and perpendicular to a magnetic field of 1.50 T.

Answer 1

Solution 1) We are given that the radius of curvature of the circular path of the proton is m.

Mass of ptoton is kg.

Charge of the proton is C.

The proton is moving perpendicular to the magnetic field at a speed of m/s.

The magnitude of the magnetic field is given by,

Solution 2) We are given that the distance traveled is 7.50 cm = 0.075 m.

The charges move at a speed, 10.0 cm / s = 0.10 m/s perpendicular to a magnetic field of 1.50 T.

So, the induced Hall voltage is given by,