What is the direction of the velocity of a negative charge that experiences the magnetic force s

step 1 So for this question, we can use the fact that F is equal to QV cross B. And so we know the dire

What is the direction of the velocity of a negative charge...

Key Concepts

Motion Perpendicular to the Magnetic Field

When a charged particle moves perpendicular to a magnetic field, the velocity and magnetic field vectors are at right angles. This orientation maximizes the magnetic force (since sin 90° = 1), resulting in circular motion of the charged particle, with the force always perpendicular to the velocity. In the case of a negative charge, the circular motion’s direction is reversed compared to that of a positive charge under the same conditions.

Right-Hand Rule and Sign Conventions

The right-hand rule is a mnemonic for finding the direction of the force on a moving positive charge in a magnetic field; however, for a negative charge, the force direction is opposite to that indicated by the rule. Thus, while the right-hand rule gives a convenient method for determining force direction for positive charges, care must be taken with sign conventions when dealing with negative charges.

Vector Cross Product

The vector cross product is a mathematical operation used to determine a vector that is perpendicular to two given vectors. In the magnetic force equation, the cross product of the velocity and the magnetic field vectors determines the direction of the force, following specific rules such as the right?hand rule.

Lorentz Force

The Lorentz force law describes the force experienced by a charged particle moving in an electromagnetic field. In the context of magnetic fields, it states that a charge q moving with velocity v in a magnetic field B experiences a force F = q(v x B), where the force is perpendicular to both the velocity and the magnetic field.

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