Lecture 23 | 2nd Sem | Magnetic field due to current carrying circular coil

Lecture 23 | 2nd Sem | Magnetic field due to current carrying circular coil

by Physics for UnderGraduates

Formal & Physical Sciences Physics PHPhysicsPHKElectricity, electromagnetism and magnetism
🎙 Physics for UnderGraduates 👥 15K 📅 June 6, 2021 ⏱ 21 min 👁 1K 📄 tutorial 🧭 2026-08-18
Available in: English (current) Français

Keywords

magnetic fieldcircular coilcurrentBiot-Savart lawintegration

Summary

This lecture aims to derive the expression for the magnetic field at a point on the axis of a circular current-carrying coil. The instructor begins by setting up the problem, considering a circular loop of radius R carrying a current I, and an observation point P on the axis at a distance x from the center. Using the Biot-Savart law, the magnetic field contribution from a small current element is considered. Due to symmetry, the perpendicular components cancel, and only the axial components add up. The derivation involves integrating the contributions from all elements around the loop. The final expression is B = (μ0 I R^2) / (2 (R^2 + x^2)^(3/2)). The lecture also discusses special cases, such as the field at the center (x=0) and far away (x>>R). However, the transcription is heavily garbled, mixing Hindi and English, making it difficult to follow the steps clearly. The video appears to be part of a series for undergraduate physics students.

160 words

Critical Evaluation

Value of the Information & Strength of the Argument

The video provides a standard derivation of the magnetic field on the axis of a circular current loop, which is a fundamental topic in electromagnetism. The argumentation follows the Biot-Savart law and uses symmetry arguments to simplify the integration. However, the presentation is marred by poor audio quality and a garbled transcription, which significantly reduces the clarity and educational value. The instructor’s explanations are not well-structured, and there are frequent repetitions and irrelevant comments. The derivation itself is correct, but the delivery is subpar.

Scientific Rigor, Source Quality, Title Accuracy

The video does not cite any external sources, and the description contains no links. The title accurately reflects the content, but the presentation lacks scientific rigor due to the unclear narration and lack of visual aids. The derivation is standard and can be found in textbooks, but the video does not provide any references. The adequacy between title and content is acceptable, but the overall quality is low.

167 words

Title / Content Match

The title accurately describes the topic, but the content is poorly delivered due to transcription issues.

Quality & Reliability

3/10

The video is a physics lecture but the transcription is heavily garbled, mixing Hindi and English with many errors, making it difficult to follow the derivation. The content appears to be a standard derivation of the magnetic field on the axis of a circular current loop, but the presentation is unclear and lacks proper structure.

Key Moments

Markers derived by PSI from the transcript: the creator did not define chapters.

Contribution & Novelties

The video presents a standard derivation of the magnetic field on the axis of a circular current loop, which is a classic result in electromagnetism. It does not offer any novel insights or original contributions. The presentation is a typical tutorial for undergraduate students.

Pour aller plus loin :

  • Biot-Savart law — Foundational law used in the derivation.
  • Magnetic field of a circular loop — Directly related topic with detailed derivation.
  • Ampere’s circuital law — Alternative approach to calculate magnetic fields in symmetric cases.

84 words

Radar Profile

The radar profile shows moderate scores across all dimensions, with a slightly higher score for technical level. This indicates that the content is technically accurate but poorly presented, with low information quality and reliability due to the garbled transcription.

Reliability 3/10