Question:

State the rule to determine the direction of a
  1. magnetic field produced around a straight conductor-carrying current,
  2. force experienced by a current-carrying straight conductor placed in a magnetic field which is perpendicular to it,
  3. current induced in a coil due to its rotation in a magnetic field.

Updated On: Nov 6, 2023
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Solution and Explanation

(i) Magnetic field produced around a straight conductor carrying current: The right-hand rule (or Maxwell's corkscrew rule) can be used to determine the direction of the magnetic field. Point your right thumb in the direction of the current flow (conventional current, from positive to negative), and the curl of your fingers around the conductor indicates the direction of the magnetic field.

(ii) Force experienced by a current-carrying straight conductor placed in a magnetic field which is perpendicular to it: Fleming's left-hand rule can be used to determine the direction of the force experienced. Point the index finger of your left hand in the direction of the magnetic field, the middle finger in the direction of the current, and the thumb will show the direction of the force acting on the conductor.

(iii) Current induced in a coil due to its rotation in a magnetic field: Fleming's right-hand rule describes the determination of the induced current's direction in a coil due to its rotation in a magnetic field. It involves aligning the thumb, forefinger, and middle finger of the right hand at right angles to each other. When the forefinger represents the direction of the magnetic field, the thumb indicates the motion of the conductor, and the middle finger shows the direction of the induced current in the conductor.

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Top Questions on Force On A Current-Carrying Conductor In A Magnetic Field

Concepts Used:

Magnetic Force

Magnetic force is the attraction or repulsion force that results from the motion of electrically charged particles. The magnets are attracted or repellent to one another due to this force. A compass, a motor, the magnets that hold the refrigerator door, train tracks, and modern roller coasters are all examples of magnetic power.

A magnetic field is generated by all moving charges, and the charges that pass through its regions feel a force. Depending on whether the force is attractive or repulsive, it may be positive or negative. The magnetism force is determined by the object's charge, velocity, and magnetic field.

Read More: Magnetic Force and Magnetic Field

The magnitude of the magnetic force depends on how much charge is in how much motion in each of the objects and how far apart they are.

Mathematically, we can write magnetic force as:

A charge will feel a force as it passes through a magnetic field at an angle. This force is given by the equation:

A force acts on the motion of charge q traveling with velocity v in a Magnetism field, and this force is:

  • Perpendicular to both v and B.
  • Perpendicular to sinθ (where θ is the angle between v and B).
  • Proportional to the charge q.
  • Proportional to the velocity v.