Question

A charged particle moving in a magnetic field experiences a resultant force
A. In the direction of field
B. In the direction opposite to that field
C. In the direction perpendicular to both the field and its velocity
D. None of the above

Answer 1

Hint:Due to the moving charges or the current flowing in the conductor, the conductor starts behaving as a magnet and electric field and magnetic field are produced. It is known that the electric field and the magnetic field are related to each other.

Complete step by step solution:
The relation between electric and magnetic fields is given by Lorentz force. According to the definition of Lorentz force, a point charge experiences force due to both electric and magnetic fields.

If there is a point charge q which is moving with a velocity v then the force acting on the point charge due to magnetic fields will be given mathematically by the following formula:
$$F=q(v\times B)$$
Where B is the magnetic field produced due to current.
Therefore, a charged particle moving in a magnetic field experiences a resultant force in the direction perpendicular to both the field and its velocity.

Hence, option C is the correct answer.

Note: The formula for the relation between magnetic and electric fields was given in the year 1895 by Dutch physicist, Hendrick Antoon Lorentz. The direction of the magnetic field experienced due to the resultant force can be easily known by Right Hand Rule. In this rule, if you hold the fore finger, middle finger and the thumb, mutually perpendicular to each other, the fore finger points in the direction in which the charge is moving. The middle finger points in the direction of the magnetic field and the thumb points in the direction of force acting on the charge.