An electron beam projected along positive x -axis deflects along the positive y -axis. If this d

step 1 the given problem here this is the x -axis is y -axis a charge particle is moving along x -axis

An electron beam projected along positive x -axis deflects...

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Key Concepts

Right-Hand Rule

The right-hand rule is a mnemonic used to determine the direction of the force on a positive charge moving in a magnetic field by aligning the thumb with the velocity vector and the fingers with the magnetic field. The resulting force comes out in the direction of the palm. For negative charges, such as electrons, the force direction is opposite to the result given by the right-hand rule.

Effect of Charge Sign

The sign of the charge plays a critical role in determining the direction of the magnetic force. In the case of an electron, which has a negative charge, the force experienced is opposite to the direction predicted by the right-hand rule when using the cross product of the velocity and the magnetic field vectors. This reversal must be taken into account when analyzing the deflection of electrons in a magnetic field.

Lorentz Force

The Lorentz force law states that a charged particle moving in a magnetic field experiences a force given by F = q(v × B). This force is perpendicular to both the velocity vector and the magnetic field vector, and its magnitude depends on the charge, the speed of the particle, the magnetic field strength, and the sine of the angle between the velocity and the field.

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