A particle initially moving towards south in a vertically downward magnetic field is deflected t

step 1 Hi the given problem here this is the direction along north and south and here this is along eas

A particle initially moving towards south in a vertically...

Key Concepts

Charge Sign Determination

By correlating the particle's deflection direction with the force predicted by the right-hand rule, one can infer the sign of the charge. A deflection that matches the direction given by the rule implies a positive charge, whereas a deflection in the opposite direction would indicate a negative charge.

Lorentz Force

The Lorentz force is the fundamental principle that describes the force exerted on a charged particle moving in electric and magnetic fields. Its magnetic component, expressed as F = q(v × B), is responsible for the deflection of charged particles in a magnetic field, determining both the magnitude and direction of the force based on the charge, velocity, and magnetic field.

Vector Cross Product

The vector cross product is a mathematical operation used to determine the direction of the force in the Lorentz force equation. By taking the cross product of the velocity and magnetic field vectors, one can ascertain the perpendicular direction of the resulting force applied to the moving charged particle.

Right-Hand Rule

The right-hand rule is a mnemonic that aids in determining the direction of the force on a positive charge moving in a magnetic field. By pointing the fingers in the direction of the particle's velocity and curling them toward the magnetic field, the thumb indicates the direction of the force, allowing for the identification of the charge's sign based on the observed deflection.

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