“EM Wave Equation in Conducting Medium (Hindi) | Full Derivation for BSc/BTech”

"Electromagnetic Wave Equation in Conducting Medium | Derivation in Terms of E and H (Hindi Explanation)

In this video, we derive the electromagnetic (EM) wave equation in a conducting medium step by step using Maxwell’s equations, focusing first on the electric field vector [\vec E] and then on the magnetic field vector

Starting from the general Maxwell equations, we apply the conditions for a conducting medium ([\rho = 0], [\sigma \neq 0]) and use the relations [\vec J = \sigma \vec E], [\vec D = \epsilon \vec E], and [\vec B = \mu \vec H]. Using the vector identity [\nabla \times (\nabla \times \vec E) = \nabla(\nabla \cdot \vec E) - \nabla^{2} \vec E], we obtain the EM wave equation in conducting media in terms of [\vec E]: [\nabla^{2}\vec E = \mu \sigma \frac{\partial \vec E}{\partial t} + \mu \epsilon \frac{\partial^{2} \vec E}{\partial t^{2}}].This lecture is especially useful for B.Sc., B.Tech., AKTU and other university students preparing for Electromagnetics / Electromagnetic Theory exams, where derivations of EM wave equations in free space and conducting media are frequently asked. The explanation is given in simple Hindi with clear board work so that you can easily understand each mathematical step, the use of curl, divergence, vector identities, and the physical meaning of conduction current and conductivity in EM wave propagation.At the end, the corresponding wave equation in terms of [\vec H] is also discussed so that you can write both forms in the exam with confidence.Keywords: electromagnetic wave equation in conducting medium, EM wave equation in terms of E and H, Maxwell equations in conducting media, EM waves in conductors, derivation of wave equation, B.Tech AKTU Electromagnetics, Hindi lecture, technical physics"