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Which equation is used to calculate the magnetic force on a charge moving in a magnetic field?

1) |q|vbcosf
2) |q|vbsinf
3) |q|bcosf
4) |q|bsin

User Keyon
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1 Answer

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Final answer:

The equation used to calculate the magnetic force on a moving charge in a magnetic field is F = qvB sin θ, and it considers the magnetic field strength, charge, velocity, and the angle between velocity and magnetic field.

Step-by-step explanation:

The equation used to calculate the magnetic force on a charge moving in a magnetic field is F = qvB sin θ, where q is the charge, v is the velocity, B is the magnetic field strength, and θ is the angle between the velocity of the charge and the magnetic field.

The direction of the magnetic force is determined by the right-hand rule, which states that if you point your fingers in the direction of the velocity and then curl them towards the direction of the magnetic field, your thumb will point in the direction of the magnetic force. This force is perpendicular to the plane formed by v and B.

It is important to note that the sine function in the force equation means that when the charge moves parallel to the magnetic field (θ = 0), the force is zero because sin 0 = 0. Conversely, the maximum force is experienced when the motion is perpendicular to the magnetic field (θ = 90°), as sin 90° = 1.

User Kevin Gomes
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