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Electromagnetic Field And Wave Theory

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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 3.3 years ago by sagarkolekar ★ 11k

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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 3.1 years ago by mahmud.sazzad2906 • 10

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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 3.2 years ago by shyamdon0508 • 20

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The magnetic field intensity of a uniform plane wave in air is 20 A/m along the $\hat{a_{y}}$ direction.The wave is propagating in the $\hat{a_{z}}$ direction at a frequency of $2\times 10^9 rad/sec$

electromagnetic field and wave theory updated 3.3 years ago by sagarkolekar ★ 11k

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Derive from the Maxwell's equations the wave equations in free space.

electromagnetic field and wave theory updated 3.3 years ago by sagarkolekar ★ 11k

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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 3.3 years ago by sagarkolekar ★ 11k

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Define the terms. a) VSWR, b) ISWR, c) Phase velocity, d) Group velocity and e) Propagation constant.

electromagnetic field and wave theory updated 3.3 years ago by sagarkolekar ★ 11k

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State and explain Skin effect.

electromagnetic field and wave theory updated 3.3 years ago by sagarkolekar ★ 11k

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A $\overline{H}$ due to a current source is given by, $\overline{H}=\left[y\cos(ax)\right]\hat{a_{x}}+\left[y+e^{x}\right]\hat{a_{z}}$. Describe the current density over the yz plane.

electromagnetic field and wave theory updated 3.3 years ago by sagarkolekar ★ 11k

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State and explain Maxwell's equations for time varying fields. OR Derive the set of Maxwell's equations for static fields and harmonically time varying fields.

electromagnetic field and wave theory updated 3.3 years ago by sagarkolekar ★ 11k

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At the boundary of two perfect dielectric materials, $\epsilon_{1}$ and $\epsilon_{2}$, $D_{1}$ is incident at an angle $\theta_{1}$, with respect to normal to the boundary surface.

electromagnetic field and wave theory updated 3.3 years ago by sagarkolekar ★ 11k

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Consider an interface in the Y-Z plane. The region x < 0 is medium-1 with $\mu_{r1}=4.5$ and magnetic field, $\overline{H}=4\hat{a_{x}}+3\hat{a_{y}}-6$. The region x > 0 is medium-2 with $\mu_{r2}=6$.

electromagnetic field and wave theory updated 3.3 years ago by sagarkolekar ★ 11k

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Determine whether the following potential fields satisfied Laplace equation or not? (i) $V=4x^{2}+3y-4z^{2}$ (ii) $V=r\sin\phi+z$

electromagnetic field and wave theory updated 3.3 years ago by sagarkolekar ★ 11k

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"Magnetic field has non-existance of monopole" Justify the statement.

electromagnetic field and wave theory updated 3.3 years ago by sagarkolekar ★ 11k

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Derive magnetic boundary conditions.

electromagnetic field and wave theory updated 3.3 years ago by sagarkolekar ★ 11k

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Using magnetic boundary condition, show that $\frac{\tan \alpha_{1}}{\tan \alpha_{2}}=\frac{\mu_{r1}}{\mu_{r2}}$.

electromagnetic field and wave theory updated 3.3 years ago by sagarkolekar ★ 11k

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Region 1, define by x < 0 is free space while region 2, define by x > 0 is dielectric material for which $\epsilon_{r}=3$

electromagnetic field and wave theory updated 3.3 years ago by sagarkolekar ★ 11k

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Find the relative permittivity of the dielectric material used in a parallel plate capacitor, if-

electromagnetic field and wave theory updated 3.3 years ago by sagarkolekar ★ 11k

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Derive the expression for integral form and point form of the continuity equation.

electromagnetic field and wave theory updated 3.3 years ago by sagarkolekar ★ 11k

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Two parallel conducting disks are separated by a distance 5 mm at z=0 and z=5 mm. If V=0 at z=0 and V=100 at z=5 mm. Find charge densities on the disks.

electromagnetic field and wave theory updated 3.3 years ago by sagarkolekar ★ 11k

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Derive the Poission's and Laplace equation. And the one dimensional Laplace's equation is as $\frac{\partial^{2}v}{\partial^{x^{2}}}=0$,

electromagnetic field and wave theory updated 3.3 years ago by sagarkolekar ★ 11k

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Show that for the capacitor in parallel as shown in figure the capacitance is $C_{eq}=\frac{\epsilon_{0}\epsilon_{r1}A_{1}}{d}+\frac{\epsilon_{0}\epsilon_{r2}A_{2}}{d}=C_{1}+C_{2}$

electromagnetic field and wave theory updated 3.3 years ago by sagarkolekar ★ 11k

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A parallel plate capacitor for which $C=\frac{\epsilon A}d$ farads has constant V applied across the plates. Find the stored energy of electric field in the capacitor.Hence find out the flux density.

electromagnetic field and wave theory updated 3.3 years ago by sagarkolekar ★ 11k

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Explain estimation and control of electric stress.

electromagnetic field and wave theory updated 3.3 years ago by sagarkolekar ★ 11k

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Discuss the phenomenon of polarization in dielectric medium. Also discuss how it gives rise to bond charge densities.

electromagnetic field and wave theory updated 3.3 years ago by sagarkolekar ★ 11k