Force on a Current Carrying Conductor & Fleming's Left & Right Hand Rule

# Force on a Current Carrying Conductor & Fleming's Left & Right Hand Rule | Science Class 10 PDF Download

## FORCE ON A CURRENT CARRYING CONDUCTOR PLACED IN A MAGNETIC FIELD

A current carrying conductor produces a magnetic field around it. When it is placed in a magnetic field, the two magnetic fields interact with each other and a net force acts on the conductor.

If the conductor of length l, carrying current I is lying inside a magnetic field of intensity B and is making an angle q with it, then force acting on the conductor is given by

F = IlB sin Θ

If the conductor is lying perpendicular to the magnetic field, then

θ = 90° [sin θ = 1] and the force becomes F = IlB.

This force acts in a direction which is perpendicular to the plane containing the conductor and the magnetic field (Fig.) and is maximum.

If the conductor is lying parallel to the magnetic field, then θ = 0° (sin θ = 0) and the force becomes zero and is minimum.

## Fleming's Left Hand Rule

Direction of the force acting on a current carrying conductor when placed in a magnetic field is given by Fleming's left hand rule, which states that:

If the forefinger, second finger and thumb of the left hand are stretched at right angles to each other, with the forefinger in the direction of the field and the second finger in the direction of the current then the thumb indicates the direction of the force.

Factors on which the force acting on the current carrying conductor depends

The force acting on a current carrying conductor is placed in the magnetic field depends upon :

(i) The strength of the magnetic field : If the conductor is placed in a strong magnetic field, it experiences a large force. That is, F∝ B (strength of magnetic field)

(ii) The strength of the electric curent : If large current flows through the conductor placed in the magnetic field, it experiences a large force. That is F ∝ I.

(iii) The length of the conductor : A long conductor experiences a greater force than the short conductor, when placed in the magnetic field. That is, F ∝ ℓ.

That is F∝ BIℓ

or F = kBIl

If k = 1, F = BIℓ

then B =

If I = 1amp. and l = 1m then B = F

Thus, magnetic field strength (B) is defined as the force acting per unit current per unit length of a conductor placed perpendicular to the direction of the magnetic field.

SI unit of magnetic field strength is Tesla.

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## FAQs on Force on a Current Carrying Conductor & Fleming's Left & Right Hand Rule - Science Class 10

 1. What is the force on a current-carrying conductor placed in a magnetic field?
Ans. The force experienced by a current-carrying conductor placed in a magnetic field is known as the electromagnetic force. This force is perpendicular to both the direction of the current and the magnetic field.
 2. What is Fleming's left-hand rule?
Ans. Fleming's left-hand rule is a mnemonic device used to determine the direction of the force experienced by a current-carrying conductor in a magnetic field. It states that if we stretch out our left hand with the thumb, index finger, and middle finger perpendicular to each other, then the thumb represents the direction of the force, the index finger represents the direction of the magnetic field, and the middle finger represents the direction of the current.
 3. What is electromagnetic induction?
Ans. Electromagnetic induction is the process of generating an electromotive force (EMF) in a conductor when it is exposed to a changing magnetic field. This phenomenon is the basis for the functioning of generators, transformers, and many other electrical devices.
 4. How does Fleming's left-hand rule relate to electromagnetic induction?
Ans. Fleming's left-hand rule is often used to determine the direction of the induced current in a conductor when it moves through a magnetic field or when the magnetic field changes. By aligning the thumb, index finger, and middle finger of the left hand in the proper orientation, one can determine the direction of the induced current based on the direction of the magnetic field and the motion of the conductor.
 5. What are some practical applications of the force on a current-carrying conductor in a magnetic field?
Ans. The force on a current-carrying conductor in a magnetic field is the principle behind many electrical devices. Some practical applications include electric motors, where the force causes the rotor to rotate, and loudspeakers, where the force causes the diaphragm to vibrate and produce sound. Transformers also utilize this force to transfer electrical energy between different voltage levels.

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