PhysicsLAB: Test Scenario: Magnetic Fields

Refer to the following information for the next nine questions.

A particle, which has a charge of q = +3.2 x 10^-19 C and a mass of 6.64 x 10^-27 kg, is released from rest and accelerated through Region I by two parallel plates connected to a potential difference V as shown.

When the particle reaches the second vertical plate it passes through a small hole and then passes into Region II where it encounters both a uniform electric field E and a uniform magnetic field B directed out of the plane of the page. The magnetic field has a field strength of B = 10.0 Tesla.

Finally, this charge passes into Region III where only the magnetic field B exists.

If the particle arrives at the hole with a kinetic energy of 6.4 x 10^-16 J, how large is the accelerating potential?

What is the magnitude of the charge's final velocity as it enters the hole between Region I and Region II?

Upon entering Region II, the particle is acted upon by two forces: a force by the magnetic field, B, and a force by the electric field, E.

What is the magnitude of the magnetic force acting on the particle?

Upon entering Region II, the particle continues along a straight line path. How large is the electric field in Region II?

In what direction does this electric field act?

When the particle enters Region III, the only field present is the magnetic field. Describe the motion of the charge?

What is the radius of the particle's path in Region III?

If the particle experienced a reduced accelerating potential in Region I, how would its new velocity affect the required electric field in region II?

When the particle in the previous question entered Region III, how would the radius of its path be affected?