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On which of the following quantities does the force on the electron depend?

1) Distance from the point charge
2) Mass of the electron
3) Charge of the electron
4) Velocity of the electron

1 Answer

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Final answer:

The force on an electron depends on the distance from the point charge, the charge of the electron, and the velocity of the electron, where the mass of the electron affects acceleration but not the force itself.

Step-by-step explanation:

The force on an electron depends on several factors, including the distance from the point charge, the charge of the electron, and the velocity of the electron. The mass of the electron plays a role in determining its acceleration when a force is applied, but it does not directly affect the force itself according to magnetic force equations.

According to the Lorentz force law, the magnetic force (F) on a moving charge in a magnetic field is given by F = q(v x B), where q is the charge of the particle, v is its velocity, and B is the magnetic field. The force is maximal when the velocity is perpendicular to the magnetic field and zero when it is parallel to the field, showing that the direction of the velocity also plays a crucial role.

The formula for electric force (F) due to a point charge is given by Coulomb's law, which states that F = k|Q1Q2|/r^2, where k is Coulomb's constant, Q1 and Q2 are the magnitudes of the charges, and r is the distance between them. This illustrates that the force on an electron also depends on the distance between charges

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