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https://youtu.be/ZWu752tGHrU  In this post the following problem is solved based on line integral and stoke's theorem.  If A = ρ cos ϕ âρ + sin ϕ âϕ, evaluate ∮ A • dl around the path shown in figure. Confirm this using Stokes's theorem. Solution-  See the detailed explanation of the problem https://youtu.be/ZWu752tGHrU

https://youtube.com/playlist?list=PL_6QR94iYxAURgWpRArWHMMbRGeHViQJV          In this blog i have solved the following problem  If G(r) = 10 e-2z (ρ âρ + âz), determine the flux of G out of the entire surface of the cylinder ρ = l, 0 ≤ z ≤ 1. Confirm the result using the divergence theorem. solution -  See the detailed Explanation  in the following video https://youtu.be/fLNhoxCfhDY See the other problems in the following playlist https://youtube.com/playlist?list=PL_6QR94iYxAURgWpRArWHMMbRGeHViQJV

 Solve the following question In a nonmagnetic medium E = 4 sin (2π x107 - 0.8 x) az V/m Find (a) ɛr and η (b) The time-average power carried by the wave (c) The total power crossing 100 cm2 of plane 2x + y = 5 Step by Step process for the above problem See the other problems from electromagnetic wave propagation https://youtube.com/playlist?list=PL_6QR94iYxAUu-nq9aN_3xq90qvtnR_CI #electromagnetic #numericexamples #EM_Problems #wavepropagation

 How to solve the following Problem: A uniform plane wave propagating in a medium has E = 2e-αz sin (108t - βz) ay V/m. If the medium is characterized by ɛr = 1, μr = 20, and σ = 3 mhos/m, find α, β and H. See the explanation to this problem in the following link https://youtu.be/gS4XpKL4GO4 See the other problems from electromagnetic wave propagation https://youtube.com/playlist?list=PL_6QR94iYxAUu-nq9aN_3xq90qvtnR_CI

Solve the following Problem In a lossless medium for which η = 60π, μr = 1, and H = - 0.1 cos (ωt - z) ax + 0.5 sin (ωt - z) ay A/m, calculate ɛr, ω, and E. Solution   Explaination of the answer https://youtu.be/eM1p6eVgOnI See the other problems from electromagnetic wave propagation https://youtube.com/playlist?list=PL_6QR94iYxAUu-nq9aN_3xq90qvtnR_CI

Solve the following Problem.   A lossy dielectric has an intrinsic impedance of 200 ∟30° Ω at a particular frequency. If, at that frequency, the plane wave propagating through the dielectric has the magnetic field component H = 10 e-αx cos(ωt – 0.5x) ay A/m find E and α. Determine the skin depth and wave polarization. Step by step explanation -  See the other problems from electromagnetic wave propagation https://youtube.com/playlist?list=PL_6QR94iYxAUu-nq9aN_3xq90qvtnR_CI Reference- Sadiku, Matthew NO, and Sudarshan Nelatury.  Elements of electromagnetics . Vol. 428. New York: Oxford university press, 2001.

 Numerical Example on Electromagnetic Wave Propagation.  How to solve the following question?? The electric field in free space is given by E = 50 cos (108 t + βx) ay V/m (a) Find the direction of wave propagation. (b) Calculate β and the time it takes to travel a distance of λ/2. (c) Sketch the wave at t = 0, T/4, and T/2. Ans.          See the video for detailed Explanation. See the Playlist for other videos on Numerical solving and subscribe to get updates https://youtube.com/playlist?list=PL_6QR94iYxAUu-nq9aN_3xq90qvtnR_CI

This post will explains the followings 1. How to create Ubuntu instance in AWS EC2 Service ? 2. How to connect to the instance through puTTy software ? 3. How to update the instance and install rdp package to access the instance remotely? 4. How to install the display manager in ubuntu instance for enabling it to be accessed with GUI?  Step by Step Process:  1.  Open your account and go to EC2 instance service 2. Go to instances and create new instance  3. Under Name and Tags , give a specified name of your choice to the instance.  4. In application and OS images (Amazon Machine Image) Select Ubuntu from the list. This basically installing the required OS in the virtual machine.  5.  Select he amazon machine image as  UBUNTU Server 22.04 LTS (HVM), SSD Volume Type Make sure the image you select should be free tier eligible.  6. Under Instance type selct t2.micro option. 

 How to Create EC2 Windows Instance in AWS ?