Question

Assume that a uniform magnetic field is directed into this page. If an electron is released with an initial velocity directed from the bottom edge to the top edge of the page, which of the following describes the direction of the resultant force acting on the electron?

a. out of the page
b. to the right
c. to the left
d. into the page.

Answer 1

The direction of the resultant force acting on an electron moving upward on the page through a magnetic field directed into the page is to the left, as per the left-hand rule.

Step-by-step explanation:

The question deals with the Lorentz force experienced by a charged particle, in this case an electron, moving through a magnetic field. When an electron with initial velocity directed from the bottom edge to the top edge of the page moves through a uniform magnetic field directed into the page, the force acting on it can be determined using the left-hand rule, since electrons have a negative charge. Holding your left thumb up (direction of the electron's velocity) and the fingers into the page (direction of the magnetic field), the resultant force will be directed to the left of the page. Therefore, the correct answer to the direction of the resultant force acting on the electron is c. to the left.

Answer 2

c. to the left

Step-by-step explanation:

The magnetic force acting on an electron is given by the following formula:

`\vec{F} = q\vec{v}* \vec{B}`

In this case, the velocity is in the upward direction, and the magnetic field is into the page. Applying the right-hand rule gives the direction of the force.

- Point your index finger towards the direction of v.

- Point your middle finger towards the direction of B.

- Your thumb will give the direction of F, which is to the left.