If the velocity of a charged particle has the component both in and perpendicular to the direction of the magnetic field then the path traced by the charged particle will be?
- Circular
- Straight line
- Cycloid
- Helical
The Correct Option is D
Approach Solution - 1
The correct option is (D): Helical
When an object's velocity is perpendicular to the magnetic field (B), it will move in a circular path. When the velocity is parallel to the magnetic field, it will cause the object to move in a pitch direction. Therefore, the correct answer is helical motion.
Approach Solution -2
The path traced by a charged particle with a velocity component both parallel and perpendicular to a magnetic field will be helical.
When a charged particle moves in a magnetic field, it experiences a magnetic force that is perpendicular to both the direction of motion and the direction of the magnetic field. The force causes the particle to move in a circular path, with the radius of the circle depending on the velocity and the strength of the magnetic field.
However, if the charged particle has a component of velocity parallel to the magnetic field, then it will move along the magnetic field lines. This component of motion will cause the circular motion to become helical, resulting in a path that looks like a corkscrew.
So, if a charged particle has both perpendicular and parallel components of velocity with respect to a magnetic field, the resulting path will be helical
Answer. D
Top Questions on Moving charges and magnetism
- Assertion (A): The deflection in a galvanometer is directly proportional to the current passing through it.
Reason (R): The coil of a galvanometer is suspended in a uniform radial magnetic field.- CBSE CLASS XII - 2025
- Physics
- Moving charges and magnetism
- A long straight current-carrying wire is placed in a uniform magnetic field of strength \( B = 0.5 \, \text{T} \). If the current in the wire is \( I = 2 \, \text{A} \) and the wire makes an angle of \( 30^\circ \) with the magnetic field, find the force per unit length on the wire.
- MHT CET - 2025
- Physics
- Moving charges and magnetism
- A charged particle is moving in a circular path with velocity \( \vec{V} \) in a uniform magnetic field \( \vec{B} \). It is made to pass through a sheet of lead and as a consequence, it loses one-half of its kinetic energy without change in its direction. How will:
1. the radius of its path change? 2. its time period of revolution change?- CBSE CLASS XII - 2025
- Physics
- Moving charges and magnetism
- Total number of molecules/species from the following which will be paramagnetic is ________________________. \[ O_2, O_2^+, O_2^-, NO, NO_2, CO, K_2[NiCl_4], [Co(NH_3)_6]Cl_3, K_2[Ni(CN)_4] \]
- JEE Main - 2025
- Chemistry
- Moving charges and magnetism
- Two long parallel wires X and Y, separated by a distance of 6 cm, carry currents of 5 A and 4 A, respectively, in opposite directions as shown in the figure. Magnitude of the resultant magnetic field at point P at a distance of 4 cm from wire Y is \( 3 \times 10^{-5} \) T. The value of \( x \), which represents the distance of point P from wire X, is\( \_\_\_\_\_\) cm. (Take permeability of free space as \( \mu_0 = 4\pi \times 10^{-7} \) SI units.)
- JEE Main - 2025
- Physics
- Moving charges and magnetism
Concepts Used:
Moving Charges and Magnetism
Moving charges generate an electric field and the rate of flow of charge is known as current. This is the basic concept in Electrostatics. Another important concept related to moving electric charges is the magnetic effect of current. Magnetism is caused by the current.
Magnetism:
- The relationship between a Moving Charge and Magnetism is that Magnetism is produced by the movement of charges.
- And Magnetism is a property that is displayed by Magnets and produced by moving charges, which results in objects being attracted or pushed away.
Magnetic Field:
Region in space around a magnet where the Magnet has its Magnetic effect is called the Magnetic field of the Magnet. Let us suppose that there is a point charge q (moving with a velocity v and, located at r at a given time t) in presence of both the electric field E (r) and the magnetic field B (r). The force on an electric charge q due to both of them can be written as,
F = q [ E (r) + v × B (r)] ≡ EElectric +Fmagnetic
This force was based on the extensive experiments of Ampere and others. It is called the Lorentz force.