Lecture 24 | 2nd sem | Magnetic field due to Solenoid

Lecture 24 | 2nd sem | Magnetic field due to Solenoid

🎙 Physics for UnderGraduates 👥 15K 📅 June 8, 2021 ⏱ 24 min 👁 15K 📄 tutorial 🧭 2026-08-18
Available in: English (current) Français

Keywords

solenoidmagnetic fieldBiot-Savart lawderivationphysics

Summary

This lecture aims to derive the expression for the magnetic field due to a solenoid using the Biot-Savart law. The instructor begins by setting up the problem: a solenoid of length L and radius R, with N turns, and a point P on the axis at a distance x from one end. The solenoid is divided into small elements, and the magnetic field contribution from each element is calculated using the Biot-Savart law. The derivation involves integrating over the length of the solenoid, with trigonometric substitutions to express the field in terms of the angles subtended by the ends of the solenoid at the observation point. The final expression is B = (μ₀ n I / 2) (cos θ₁ - cos θ₂), where n is the number of turns per unit length, and θ₁ and θ₂ are the angles subtended by the ends. The lecture also discusses limiting cases: for an infinitely long solenoid, the field inside is uniform and given by B = μ₀ n I, and at the ends it is half that value. The presentation is hindered by poor audio quality and frequent interruptions for subscription requests, making it difficult to follow the mathematical steps clearly.

199 words

Critical Evaluation

Value of the Information & Strength of the Argument

The value of the information is moderate: it presents a standard derivation of the magnetic field inside a solenoid, which is a fundamental topic in electromagnetism. The argumentation is logical and follows the Biot-Savart law correctly, but the presentation is marred by poor audio and frequent digressions for subscription prompts. The derivation is not novel, but it could serve as a review for students. However, the lack of clear enunciation and the constant interruptions reduce its effectiveness as a learning resource.

Scientific Rigor, Source Quality, Title Accuracy

The scientific rigor is acceptable: the derivation is mathematically sound and follows standard textbook methods. However, no sources are cited, and the video does not reference any external materials. The title accurately reflects the content, but the overall quality is compromised by the audio issues and the lack of visual aids or clear explanations. The video appears to be a raw lecture recording without editing, which affects its pedagogical value.

166 words

Title / Content Match

The title accurately describes the content: a lecture on the magnetic field due to a solenoid.

Quality & Reliability

3/10

The derivation is standard and correct, but the audio quality is extremely poor, with many inaudible segments and frequent subscription prompts, making it difficult to follow. No sources are cited, and the presentation lacks clarity.

Key Moments

Contribution & Novelties

The video provides a step-by-step derivation of the magnetic field due to a solenoid, which is a standard topic in undergraduate physics. The approach is conventional and does not introduce new insights. However, it may be useful for students who want a detailed walkthrough of the derivation.

Pour aller plus loin :

83 words

Radar Profile

The radar profile shows moderate scores across all dimensions, with the highest in technical level and the lowest in reliability, reflecting the standard content but poor presentation quality.

Reliability 3/10