Fundamentals of Electromagnetics with Matlab by Karl E. Lonngren, Sava V. Savov | 9781891121302 | 1891121308 | Holooly

Electromagnetics

Fundamentals of Electromagnetics with Matlab

171 SOLVED PROBLEMS

Question: 1.19

Given a vector field A = xy ux – 2x uy, verify Stokes’s theorem over one-quarter of a circle whose radius is 3. ...

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Answer: We must first calculate ∇ x A and the surf...

Question: 1.2

Show that it is possible to interpret the cross product of two vectors that are in a plane in terms of the area included between the two vectors. ...

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It is possible to give a geometric interpretation ...

Question: 5.7

Repeat Example 5-6 using the Lax’s method and sketch the solution with h = cτ again. ...

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In MATLAB language, we write (5.28) and (5.29) in ...

Question: 5.6

Use (5.26) and (5.27) to find the evolution of a rectangular pulse whose initial shape is defined by φ ( – h/2 ≤ z ≤ h/2 , t =0 ) = 1 φ( |z| > h/2 , t=0 ) = 0} ...

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We take a grid with small number of points N=4. Th...

Question: 1.15

Find divergence of the 2-D vector field A=e^−( r / α)² r , where r=xux + yuY and r² = x² + y² by application of the MATLAB ‘divergence’ function (α = const ). ...

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The plot of the 2-D vector field by the ‘quiver’ f...

Question: 3.4

Find and plot the potential distribution between two long concentric cylinders. The length on the cylinders is L. The boundary conditions are: V(r = a) = V0 and V(r ≥ b) = 0 ...

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Because of the symmetry, we should employ Laplace'...

Question: 3.6

Find the potential distribution between two surfaces if V(x = 0) = 0 and V(x = 1) = 3. There is no charge distribution in the space 0 ≤ x ≤ 1. ...

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Let us use only three points for the first iterati...

Question: 3.7

Repeat Example 3-2 with a uniform charge distribution ρ = − 4ε0 in the space 0 ≤ x ≤ 1. Find the potential distribution between two surfaces if V(x = 0) = 0 and V(x = 1) = 3. ...

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Using the Central difference method, we write Pois...

Question: 2.31

Calculate the Larmor radius for an electron and an argon ion that pass through a magnetic field of 0.01 T. Both particles have been accelerated through a potential difference of one volt. ...

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Before calculating the Larmor radius for either pa...

Question: 6.19

The attenuation on a 50 W distortionless transmission line is 0.01 (dB/m). The line has a capacitance of 0.1 x 10^- 9 (F/m). a) Find the values of the other transmission line elements. b) Find the velocity of wave propagation. ...

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a) Since this is a distortionless transmission lin...

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