1a. Use the Lorentz force equation to show mathematically that an electron with

Question

1a. Use the Lorentz force equation to show mathematically that an electron with a negative charge qe = -e(or -1.60*10^(-19) C) moving at a velocity will experience the same force in a magnetic field the same amount of positive charge with charge -qe = +e (or +1.60*10^(-19) C) would experience moving at a velocity . Be sure to use the vector signs in writing your symbols.

1b. Use the Lorentz force law and the right-hand rule to determine the theoretically predicted direction of the magnetic force on each segment of the wire (1, 2, 3, and 4). For simplicity, assume that the current I consists of positive charges, q, moving at an average speed, v, in the same direction as I. Assume that the loop lies in the plane of the paper as shown in the diagram. You can describe the directions of these forces in such terms as “right-to-left,” “left-to-right,” “into the paper,” and “out of the paper.”

1c. What motion of the loop do you predict will result from these forces?

Explanation / Answer

1a. force = qvB = same for both electron and proton in magnitude.

direction will depend on direction of motion. for same motion force on both will be in opposite direction.

1b. 1 => force = 0

2 => force = out of paper

3 => force = 0

4 => force = into the paper

1c. it will rotate (4 into plane and 2 out of plane) to come such that plane become perpandicular to B

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.