Explain with a reason whether the field will be stronger at the centre...
We know, when magnetic field is directly proportional to magnetic lines of force . Means if magnetic lines of force are more concentrated at a point respect to another point then that point have more magnetic field with respect to the point which contains less concentrated magnetic lines of force.
In case of circular loop, magnetic lines of force are highly concentrated at centre as shown in figure. so, magnetic field is strong at centre . While in case of circumference , magnetic field is weaker than centre.
This question is part of UPSC exam. View all Class 10 courses
Explain with a reason whether the field will be stronger at the centre...
Introduction:
The magnetic field around a current-carrying loop is an important concept in electromagnetism. Understanding the distribution of the magnetic field strength is crucial for various applications, including the design of electromagnets and transformers. In this explanation, we will analyze whether the magnetic field is stronger at the center of a current-carrying loop or near its circumference.
Magnetic Field Strength at the Center of a Loop:
When considering the magnetic field strength at the center of a current-carrying loop, we must consider the contributions from all segments of the loop. Each segment produces a magnetic field, and the net field at the center is the vector sum of these individual fields.
Contributions from the Segments:
- The magnetic field produced by a straight segment of the loop is directly proportional to the current passing through it and inversely proportional to the distance from the segment to the center of the loop.
- As we move away from the center, the distance to all segments increases, resulting in a decrease in the magnetic field strength produced by each segment.
- Additionally, the magnetic fields produced by segments on opposite sides of the center of the loop cancel each other out due to their opposite directions.
- Therefore, the contributions from segments closer to the center are stronger than those from segments near the circumference.
Magnetic Field Strength near the Circumference:
- Near the circumference of the loop, the distance to each segment decreases, resulting in a stronger magnetic field produced by each segment.
- However, the contributions from segments on opposite sides of the circumference do not cancel each other out since they are not aligned along the same line passing through the center.
- Instead, the magnetic fields produced by these segments add up, leading to an overall stronger magnetic field near the circumference compared to the center.
Conclusion:
In summary, the magnetic field is stronger near the circumference of a current-carrying loop compared to its center. This is because the contributions from segments on opposite sides of the center cancel each other out at the center, while they add up near the circumference. Understanding this distribution of magnetic field strength is essential for various applications, such as the design of efficient electromagnets and transformers.
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.