two electrons are located in a region of space where the magnetic field is zero. Electron A is at rest; and electron B is moving westward with a constant velocity. A non zero magnetic field directed eastward is then applied to the region. In what direction, if any will each electron be moving after the field is applied?

Respuesta :

Answer:

Electron A It remains stationary, while electron B continues moving westward

Explanation:

The force acting on each electron is given by F = Bevsinθ where B = magnetic field strength, v = velocity of electron, e = electron charge and θ = angle between B and v

Force electron A, v = 0, and θ = unknown, so F = Be × 0 × sinθ = 0.

So, no force acts on it and thus, it does not move. It remains stationary.

Force electron B, v = constant, acceleration, a = 0 and θ = 180, so F = Bevsin180 = 0.

So, no net force acts on it and thus, it does not change direction. It continues moving westward.

The electron A remains at rest.

The electron B continues moving in the westward direction.

Magnetic force:

The magnetic force only acts on a moving charge.

The force acting on each electron is given by:

F = evBsinθ

where B is the magnetic field strength,

v is the velocity,

e is the charge on the electron

and θ is the angle between B and v

In the case of electron A;

v = 0, so:

F = 0.

Electron A does not experience any force and remains at rest.

The electron B is moving with a constant velocity, let's say v in the westward direction

The magnetic field B is in eastward direction,

so, angle between B and v is θ = 180°

The force on electron B is

F = evBsin180

F = -evB

Since the charge on electron e is already negative, the force F will be positive, which means in the direction of the motion of the electron, that is westward.

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