An electron is moving perpendicular to the magnetic field, which of the following is correct statement about electromagnetic force acting on the electron?
- Force acting is equal to electron charge
- Force acting is equal to the magnetic field strength
- Force acting is maximum
- Zero force is acting on it
Explanation
When an electron moves perpendicular to a magnetic field, the electromagnetic force (also known as the Lorentz force) acting on the electron is given by the formula:
F=qvBsin(θ)
Where:
- is the force,
- is the charge of the electron,
- is the velocity of the electron,
- is the magnetic field strength,
- is the angle between the velocity vector and the magnetic field.
When the electron is moving perpendicular to the magnetic field, and
Therefore, the force becomes:
This means the force is at its maximum value since both the charge and the velocity contribute to the force. Thus, the statement that the force acting is maximum is correct.
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