Question

An electron traveling at a velocity v enters a uniform magnetic field B. Initially, the velocity and field are perpendicular to each other. If the electron goes a distance d, the amount of work done on it by the magnetic field is ________.Group of answer choicesevBevBqevD/Bzero

Answer 1

Given:

The charge on the electron is e and it moves with the velocity v, the magnetic field is B, and the motion of the electron and field are perpendicular to each other.

It moves a distance d due to the force F.

To find the work done.

Step-by-step explanation:

The force is given by the formula

`\begin{gathered} F=\text{ evBsin90} \\ =evB \end{gathered}`

The work done is given by the formula

`\begin{gathered} W=Fd\text{ cos 90}^(\circ) \\ =0 \end{gathered}`

Final Answer: The work done is zero.