Question

Find the magnetic force on the electron at point $c$.

   Find the magnetic force on the electron at point $c$.

Physics

Robert Coleman… 5th Edition

Chapter 19, Problem 14

Instant Answer

Solved by Expert Noor Aldeen Almusleh

04/17/2021

Step 1

According to the explanation, the magnetic force on electron C is 0.87 times the magnetic force on electron A. Mathematically, this can be represented as: \[F_{C} = 0.87 \times F_{A}\] Show more…

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Find the magnetic force on the electron at point $c$.

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Key Concepts

Lorentz Force

The Lorentz force is the fundamental concept describing the force on a charged particle moving in a magnetic field. It is given by the equation F = q(v × B), where F is the force, q is the charge of the particle, v is its velocity, and B is the magnetic field. This concept is key to understanding how charges interact with magnetic fields.

Magnetic Field

A magnetic field is a vector field that exerts a force on moving charged particles, as well as on magnetic dipoles. Its strength and direction determine the magnitude and direction of the force experienced by charges. Understanding the magnetic field is essential for analyzing any problem involving magnetic forces.

Cross Product

The cross product is a mathematical operation used to determine a vector that is perpendicular to two given vectors. In the context of the Lorentz force law, the cross product of the velocity and magnetic field vectors (v × B) determines the direction of the magnetic force acting on a charged particle.

Right-Hand Rule

The right-hand rule is a mnemonic that allows one to determine the direction of the vector resulting from a cross product. When applying it to the Lorentz force, it helps establish the direction of the force on a positive charge; for an electron (a negative charge), the force direction is opposite to that indicated by the right-hand rule.

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