Force on a Current-Carrying Conductor in Magnetic field
A current-carrying conductor produces a magnetic field around it. i.e. Behaves like a magnet and exerts a force when a magnet is placed in its magnetic field. Similarly a magnet also exerts equal and opposite force on the current-carrying conductor. The direction of this force can be determined using Flemings left-hand rule.Current Element
Current element is defined as a vector having a magnitude equal to the product of current with a small part of the length of the conductor and the direction in which the currentis flowing in that part of the conductor.

in a magnetic field $\overrightarrow{\mathrm{B}},$ it experiences a force
$\overrightarrow{\mathrm{dF}}=\mathrm{I} \overrightarrow{\mathrm{d}} \ell \times \overrightarrow{\mathrm{B}}$
The magnitude of force is $\quad \mathrm{dF}=\mathrm{B} \mathrm{I}$ d\ell $\sin \theta$
$[\theta \text { is the angle between the } \overrightarrow{\mathrm{d} \ell} \text { and } \overrightarrow{\mathrm{B}}]$
(i) When $\sin \theta=\min =0,$ i.e., $\theta=0^{\circ}$ or $180^{\circ}$
Then force on a current element $=0$ (minimum)

(ii) When $\sin \theta=\max =1,$ i.e., $\theta=90^{\circ}$
The force on the current will be maximum ( $=$ BI d\ell)
Force on a current element in a magnetic field is maximum $(=\text { BI } \mathrm{d} \ell)$
When it is perpendicular to the field.


- Fleming's Left-Hand Rule
- Right Hand Palm Rule
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- JEE Main
- Exam Pattern
- Previous Year Papers
- PYQ Chapterwise
- Physics
- Kinematics 1D
- Kinemetics 2D
- Friction
- Work, Power, Energy
- Centre of Mass and Collision
- Rotational Dynamics
- Gravitation
- Calorimetry
- Elasticity
- Thermal Expansion
- Heat Transfer
- Kinetic Theory of Gases
- Thermodynamics
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- Wave on String
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- Error in Measurement & instruments
- Alternating Current
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- Wave Optics
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- Law of Motion
- Work, Energy and Power
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- Electromagnetic Wave
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