

- Trending Categories
Data Structure
Networking
RDBMS
Operating System
Java
iOS
HTML
CSS
Android
Python
C Programming
C++
C#
MongoDB
MySQL
Javascript
PHP
- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who
Force on a Current Carrying Conductor in a Magnetic Field
When a current carrying conductor is placed at right angles to a magnetic field, it is found that a force acts on the conductor in a direction perpendicular to the direction of both the magnetic field and the current.
Explanation
Consider a straight conductor carrying a current of I amperes. If the magnetic flux density is B, the effective length of the conductor is l and θ is the angle which the conductor makes with the direction of the magnetic field.
It has been found by experiments that the magnitude of the force (F) acting on the conductor is directly proportional to −
Magnetic flux density (B),
Current through the conductor (I), and
Sine of the angle θ i.e. sinθ.
Therefore,
$$\mathrm{\mathit{F\propto BIl\:sinθ}}$$
$$\mathrm{\Longrightarrow \mathit{F= K BIl\:sinθ}}$$
Where, k is constant of proportionality and its value is unity in SI units. Thus,
$$\mathrm{\mathit{F = BIl\:sinθ}\:\:\:\:\:\:...(1)}$$
Case 1 − When θ = 0° or 180° then sin θ = 0, hence,
$$\mathrm{\mathit{F }= 0\:\:\:\:\:\:...(2)}$$
Case 2 − When θ = 90°, then sin θ = 1, hence,
$$\mathrm{\mathit{F=BIl}\:\:\:\:\:\:...(3)(𝑖i.e F is maximum)}$$
Numerical Example
A straight wire 0.5 m long carries a current of 150 A and lies at an angle of 60° to a uniform magnetic field of 2.5 Wb/m2.Find the mechanical force on the conductor when (a) it lies in the given position, (b) it lies in a position such that it is at right angles to the magnetic field.
Solution
When conductor lies at 60° to the magnetic field
$$\mathrm{\mathit{F=BIl\:sinθ}=2.5\times150\times0.5\times sin60=162.38N}$$
When conductor lies at right angles to the magnetic field
$$\mathrm{\mathit{F=BIl}=2.5\times150\times0.5=187.5N}$$
- Related Questions & Answers
- Magnetic Field around a Current Carrying Conductor
- Rotating Magnetic Field in a 3-Phase Induction Motor
- Magnetic Field Intensity of an Electromagnet
- Rotating Magnetic Field in Three-Phase Induction Motor
- Rotating Magnetic Field Produced by Two-Phase Supply
- Energy Stored in a Magnetic System
- How to check android mobile supports MAGNETIC FIELD sensor?
- Search a sub-field on MongoDB?
- Get a specific field of the current type C#
- Set a MySQL field with the current date (UNIX_TIMESTAMP(now))
- Implement a MongoDB $cond field in a projection pipeline based on the presence or absence of a field?
- Difference between Magnetic Tape and Magnetic Disk
- How to show current location on a google map on Android?
- Creating an index on a nested MongoDB field?
- How to insert current date/ time using now() in a field with MySQL?