If a positively charged particle is moving as shown in the...

If a positively charged particle is moving as shown in the figure, then it will get deflected due to magnetic field towards
(Figure can't copy)
(a) $+x$ direction
(b) $+y$ direction
(b) $-x$ direction
(d) $+z$ direction

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Key Concepts

Lorentz Force

The Lorentz Force is the force experienced by a charged particle moving in electric and magnetic fields. For a magnetic field, it is given by F = q(v x B), where q is the charge, v is the particle's velocity, and B is the magnetic field. This force is always perpendicular to both the velocity and the magnetic field, causing the particle to undergo circular or helical motion without doing work on it.

Right-Hand Rule

The right-hand rule is a mnemonic used to determine the direction of the force acting on a positively charged particle in a magnetic field. When the fingers of the right hand point in the direction of the particle's velocity and are curled towards the magnetic field direction, the thumb will point in the direction of the force experienced by the particle.

Cross Product in Vector Calculus

The cross product is an operation on two vectors in three-dimensional space that results in a third vector perpendicular to the plane defined by the original vectors. In the context of the Lorentz Force, the cross product v x B determines the direction and magnitude of the magnetic force, making it essential for analyzing the motion of charged particles in magnetic fields.

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