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Electromagnetic Field And Wave Theory

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A line charge of 2n c/m lies along y-axis while surface charge densities of $0.1\times 10^{-9}$ $c/m^{2}$ and $-0.1\times 10^{-9}$ $c/m^{2}$ exist on the plane z=3 and z=-4m respectively.

electromagnetic field and wave theory updated 4.5 years ago by phenjoisilab • 0

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Evaluate both sides of the divergence theorem for the region r $\leq$ 2, if $G=5r \sin^{2}\theta\cos^{2}\phi\space\hat{a_{r}}$.

electromagnetic field and wave theory updated 4.5 years ago by phenjoisilab • 0

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Express vector $B=\frac{10}{r}\hat{a_{r}}+r\cos\theta\hat{a_{\theta}}+\hat{a_{\phi}}$ in Cartesian and cylindrical coordinates. Find B(-3,4,0) and $B=(5, \frac{\pi}{2},-2)$.

electromagnetic field and wave theory updated 4.5 years ago by phenjoisilab • 0

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Given that $D=\frac{5r^{2}}{4}\hat{a_{r}}$ $c/m^{2}$ in spherical coordinates, evaluate both sides of the divergence theorem for the volume enclosed by r=4 m and $\theta=\frac{\pi}{4}$ radian.

electromagnetic field and wave theory updated 4.5 years ago by phenjoisilab • 0

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The vector current density is given as $\overline{J}=\frac{4}{r^{2}}\cos\theta\hat{a_{r}}+20e^{-2r}\sin\theta\hat{a_{\theta}}-r\sin\theta\cos\phi\hat{a_{\theta}}\space A/m^{2}$

electromagnetic field and wave theory updated 4.3 years ago by 202101340 • 20

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A 9375 MHz uniform plane wave is propagating in polystyrene. If the amplitude of the electric field intensity is 20 V/m and the material is assume to be lossless.

electromagnetic field and wave theory updated 4.5 years ago by phenjoisilab • 0

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The flux density within the cylindrical volume bounded by r=4 m,z=0 m and z=5 m, is given by $\overline{D}=30 e^{-r}\hat{a_{r}}-2z\hat{a_{z}}$ $c/m^{2}$.

electromagnetic field and wave theory updated 4.5 years ago by phenjoisilab • 0

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Two point charge of equal mass m, charge Q are suspended at a common point by two threads of negligible mass and length l.

electromagnetic field and wave theory updated 4.5 years ago by phenjoisilab • 0

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Obtain an expression for magnetic vector potential in the region surrounding an infinitely long straight filamentary current 'I'.

electromagnetic field and wave theory updated 4.5 years ago by phenjoisilab • 0

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Planes z=0 and z=4 carry a current $\overline{K}=-10\hat{a_{x}}\space A/m$ and $\overline{K}=10\hat{a_{x}}\space A/m$ respectively. Find $\overline{H}$ at points (i) P(1,1,1) and (ii) Q(0,-3,10).

electromagnetic field and wave theory updated 4.5 years ago by phenjoisilab • 0

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In the region 0<r<0.5 m in cylindrical co-ordinates system, the current density is, $\overline{J}=4.5e^{-2r}\hat{a_{z}}A/m^2$ and J=0 elsewhere.Use Ampere's Circuital Law to find H in all regions.

electromagnetic field and wave theory updated 4.4 years ago by kalahasthigowth196 • 20

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A potential field is given as $V=100e^{-5x}\sin 3y\cos 4z$ volts.Let point $P(0.1,\frac{\pi}{12},\frac{\pi}{24})$ be located at a conductor free space boundary.

electromagnetic field and wave theory updated 4.5 years ago by phenjoisilab • 0

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For a lossy dielectric material having $\mu_{r}=1$, $\epsilon_{r}=48$ and $\sigma=20 s/m$. Calculate the propagation constant at a frequency of 16 GHz.

electromagnetic field and wave theory updated 4.5 years ago by phenjoisilab • 0

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Explain the procedure for obtaining the vectors and unit vectors.

electromagnetic field and wave theory updated 4.5 years ago by phenjoisilab • 0

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Define Curl, Divergence and Gradient

electromagnetic field and wave theory updated 4.5 years ago by phenjoisilab • 0

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The vector $\overline{A}$ is given in the cylindrical co-ordinate system as $\overline{A}=2\cos\theta\hat{a_{r}}+3r\hat{a_{\phi}}-4\hat{a_{z}}$ .Convert it into Cartesian Co-ordinate system.

electromagnetic field and wave theory updated 4.5 years ago by phenjoisilab • 0

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Transform the given vector $\overline{A}=3\hat{a_{x}}-2\hat{a_{y}}-3\hat{a_{z}}$ at P(-2,-3,4) into spherical co-ordinate system.

electromagnetic field and wave theory updated 4.5 years ago by phenjoisilab • 0

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Convert the given point $P(3,45^{\circ},60^{\circ})$ in (i) Cartesian co-ordinate system. (ii) Cylindrical co-ordinate system.

electromagnetic field and wave theory updated 4.5 years ago by phenjoisilab • 0

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If, $\triangledown\times V=0$ find constant a, b, and c. So that $V=(x+2y+az)\hat{a_{x}}+(bx-3y-z)\hat{a_{y}}+(4x+cy+2z)\hat{a_{z}}$ is irrotational.

electromagnetic field and wave theory updated 4.5 years ago by phenjoisilab • 0

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Three points are given as A=(2,-3,1); B=(-4,-2,6) & C=(1,5,-3). Find

electromagnetic field and wave theory updated 4.5 years ago by phenjoisilab • 0

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Explain and prove that electric field intensity is equal to the negative of electric scalar potential.OR Explain the concept of potential gradient and the relation between electric field and potential

electromagnetic field and wave theory updated 4.5 years ago by phenjoisilab • 0

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Write a short note on Electric dipole.

electromagnetic field and wave theory updated 4.5 years ago by phenjoisilab • 0

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The two charges 3 $\mu C$ and 5 $\mu C$ are separated by 8 cm, find the force between them. If two charges are brought in contact and then separated by 5 cm, find the force in this case.

electromagnetic field and wave theory updated 4.5 years ago by phenjoisilab • 0

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Derivation of E due to uniform volume charge density $\rho_{v} c/m^{3}$. Distributed in a sphere of radius 'a' centered at the origin.

electromagnetic field and wave theory updated 4.5 years ago by phenjoisilab • 0

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Discuss the various practical applications of electrostatic fields.

electromagnetic field and wave theory updated 4.5 years ago by phenjoisilab • 0