Magnetic Force

To determine the force experienced by an electron moving near an infinitely long straight conductor carrying a current, we use the magnetic force formula combined with the Biot-Savart law to find the magnetic field created by the current in the wire.

Step 1: Determine the magnetic field produced by the conductor

The magnetic field at a distance from an infinitely long straight wire carrying current is given by the Biot-Savart law:

where is the permeability of free space, , , and .

Substituting the values, we get:

Step 2: Calculate the magnetic force on the moving electron

The magnetic force experienced by a charge moving with a velocity in a magnetic field is given by:

Here, (charge of an electron), , and .

Calculating the magnitude of the force:

Since the force is a vector, we take the magnitude, resulting in .

This corresponds to the correct answer choice of .