electromagnetic field and wave theory Posts

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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 21 months 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 22 months ago by shyamdon0508 • 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 23 months ago by sagarkolekar ★ 10k

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State and explain Skin effect.

electromagnetic field and wave theory updated 23 months ago by sagarkolekar ★ 10k

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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 23 months ago by sagarkolekar ★ 10k

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

electromagnetic field and wave theory updated 23 months ago by sagarkolekar ★ 10k

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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 23 months ago by sagarkolekar ★ 10k

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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 23 months ago by sagarkolekar ★ 10k

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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 23 months ago by sagarkolekar ★ 10k

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Derive differential and integral form of Maxwell equation from Gauss law for magnetic fields. OR State and explain Maxwell's fourth equations for time varying fields

electromagnetic field and wave theory updated 23 months ago by sagarkolekar ★ 10k

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Derive differential and integral form of Maxwell equation from Gauss law for electric fields. OR State and explain Maxwell's third equations for time varying fields.

electromagnetic field and wave theory updated 23 months ago by sagarkolekar ★ 10k

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Derive differential and integral form of Maxwell equation from Ampere's law. OR State and explain Maxwell's second equations for time varying fields.

electromagnetic field and wave theory updated 23 months ago by sagarkolekar ★ 10k

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Derive differential and integral form of Maxwell equation from Faraday's law. OR State and explain Maxwell's first equations for time varying fields.

electromagnetic field and wave theory updated 23 months ago by sagarkolekar ★ 10k

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In a charge free region the magnetic field intensity is given by $\overline{H}=H_{m}\cos \beta z \cos\omega t\space\hat{a_{y}}$, By using Maxwell's equation calculate electric field intensity.

electromagnetic field and wave theory updated 23 months ago by sagarkolekar ★ 10k

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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 23 months ago by sagarkolekar ★ 10k

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If the magnetic field $\overline{H}=(3x\cos\beta+6z\sin\alpha)\hat{a_{y}}$. Find the current density $\overline{J}$ if field are invariant with time.

electromagnetic field and wave theory updated 23 months ago by sagarkolekar ★ 10k

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

electromagnetic field and wave theory updated 23 months ago by sagarkolekar ★ 10k

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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 23 months ago by sagarkolekar ★ 10k

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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 23 months ago by sagarkolekar ★ 10k

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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 23 months ago by sagarkolekar ★ 10k

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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 23 months ago by sagarkolekar ★ 10k

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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 23 months ago by sagarkolekar ★ 10k

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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 23 months ago by sagarkolekar ★ 10k

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Derive magnetic boundary conditions.

electromagnetic field and wave theory updated 23 months ago by sagarkolekar ★ 10k

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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 23 months ago by sagarkolekar ★ 10k

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