Lecture-20_Determine E at a Point P due to Concentric Conducting Cylinder
Electical Engineering with Sanjib SIR
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Lecture-20_Determine E at a Point P due to Concentric Conducting Cylinder
3 просмотра · 4 дня назад
Electical Engineering with Sanjib SIR
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3 просмотра · 4 дня назад
⚡ Electromagnetic Field Theory | Electrostatic | Lecture 20
*Determine E at a Point P due to Concentric Conducting Cylinder | Complete Derivation*
Welcome to **Sanjib SIR – Electrical Engineering**.
In this lecture, we will study how to *determine the electric field intensity \(E\) at a point \(P\) due to a concentric conducting cylinder* using **Gauss’s Law**.
The complete concept is explained in a simple and step-by-step manner, including the electric field in different regions and the important results required for solving numerical problems.
📌 In this lecture, you will learn:
✅ Concept of *concentric conducting cylinders*
✅ Geometry of inner and outer conductors
✅ Application of *Gauss’s Law*
✅ Selection of the appropriate Gaussian surface
✅ Electric field inside the inner conductor
✅ Electric field in the region between the conductors
✅ Electric field outside the outer conductor
✅ Step-by-step derivation of electric field \(E\)
✅ Relationship between electric field and charge distribution
✅ Effect of inner and outer conductor dimensions
✅ Important formulas and results
✅ Solved examples
✅ Exam-oriented problem-solving approach
✅ Common mistakes and important points
🔬 Electric Field in Different Regions
The electric field is analyzed according to the position of point \(P\):
*1️⃣ Inside the inner conductor*
$$
E = 0
$$
*2️⃣ Between the inner and outer conductors*
$$
E = \frac{\lambda}{2\pi\epsilon\rho}
$$
*3️⃣ Outside the outer conductor*
For an ideal conducting arrangement, the external electric field is determined from the net enclosed charge and the charge distribution on the conductors.
The lecture explains these cases clearly using **Gauss’s Law**.
🎯 Why is this Topic Important?
Concentric conducting-cylinder structures are fundamental for understanding:
⚡ Coaxial cables
⚡ Transmission lines
⚡ Electrostatic shielding
⚡ High-voltage insulation
⚡ Cylindrical capacitors
⚡ Electric field distribution
⚡ Practical electromagnetic systems
🎓 Useful For:
📚 Electrical Engineering students
🎓 Diploma Engineering students
📝 University examinations
⚡ GATE & competitive examinations
📖 Electromagnetic Field Theory
🔌 Electrical & Electronics Engineering
📚 Subject:
*Electromagnetic Field Theory*
📘 Module:
*Electrostatic*
🎓 Lecture:
*Lecture 20 – Determine E at a Point P due to Concentric Conducting Cylinder*
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