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Write a proportionality expression that represents the relationship between the magnetic force and the magnetic field strength.

Question

Write a proportionality expression that represents the relationship between the magnetic force and the magnetic field strength.

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Solution

The relationship between the magnetic force (F) and the magnetic field strength (B) is given by the equation F = qvBsinθ, where q is the charge of the particle, v is the velocity of the particle, and θ is the angle between the velocity and the magnetic field.

However, if we consider a scenario where a charged particle is moving perpendicular to the magnetic field (θ = 90°), the sinθ becomes 1 and the equation simplifies to F = qvB.

In this simplified scenario, the magnetic force is directly proportional to the magnetic field strength. This can be expressed as F ∝ B.

So, the proportionality expression that represents the relationship between the magnetic force and the magnetic field strength is F ∝ B.

This problem has been solved

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