electromagnetic field and wave theory Posts

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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 2.7 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 2.7 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 2.7 years ago by sagarkolekar ★ 11k

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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 2.7 years ago by sagarkolekar ★ 11k

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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 2.7 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 2.7 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 2.7 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 2.7 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 2.7 years ago by sagarkolekar ★ 11k

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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 2.7 years ago by sagarkolekar ★ 11k

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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 2.7 years ago by sagarkolekar ★ 11k

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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 2.6 years ago by shyamdon0508 • 20

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Show that following field vectors, in the free space, $\overline{E}=E_{0}\cos (\omega t-\beta z)\hat{a_{x}}$ $\overline{H}=\frac{E_{0}}{\eta}\cos (\omega t-\beta z)\space\hat{a_{y}}$

electromagnetic field and wave theory updated 2.7 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 2.7 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 2.7 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 2.7 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 2.7 years ago by sagarkolekar ★ 11k

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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 2.7 years ago by sagarkolekar ★ 11k

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Derive magnetic boundary conditions.

electromagnetic field and wave theory updated 2.7 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 2.7 years ago by sagarkolekar ★ 11k

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Verify whether the following fields $\overline{E}=(2\cos x \sin t)\hat{a_{y}}$ and $\overline{H}=(\frac{2}{\mu_{0}}\cos x \cos t)\hat{a_{z}}$. Satisfy Maxwell's equation in free space.

electromagnetic field and wave theory updated 2.7 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 2.7 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 2.7 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 2.7 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 2.7 years ago by sagarkolekar ★ 11k

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