A point charge is moving in a circle with constant speed. Consider the...
(a) The point charge moves in circle as shown in Fig.
The magnetic field vectors at a point P on the axis of circle
are B→AandB→CB→AandB→C at the instant the point charge is at A and C
respectively, as shown in Fig.
View all questions of this test
A point charge is moving in a circle with constant speed. Consider the...
It depends on vector direction of I.dl so direction of magnetic field depend on direction I.dl but magnitude remains constant
A point charge is moving in a circle with constant speed. Consider the...
Explanation:
When a point charge moves in a circular path with constant speed, it creates a magnetic field due to its motion. Let's analyze the magnetic field produced by the charge at a fixed point P on the axis of the circle.
Direction of the Magnetic Field:
The direction of the magnetic field can be determined using the right-hand rule. If we curl the fingers of our right hand in the direction of the moving charge, then the thumb points in the direction of the magnetic field. Since the charge is moving in a circle, the direction of the magnetic field at point P will be perpendicular to the plane of the circle and perpendicular to the axis passing through P.
Magnitude of the Magnetic Field:
The magnitude of the magnetic field produced by a moving charge depends on the distance between the charge and the point where we are measuring the field. In this case, the distance between the charge and point P remains constant as the charge moves in a circle. Therefore, the magnitude of the magnetic field at point P will be constant.
Conclusion:
Based on the above analysis, we can conclude that the magnetic field produced by the charge at a fixed point P on the axis of the circle is constant in magnitude (option A). However, the direction of the magnetic field changes as the charge moves in a circle, so it is not constant in direction (option B and C are incorrect). Additionally, since the magnitude and direction of the magnetic field are not constant, option D is also incorrect.
In summary, the correct answer is option A - the magnetic field is constant in magnitude only.