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Electromagnetic Field And Wave Theory

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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 3.2 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 3.0 years ago by mahmud.sazzad2906 • 10

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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 3.2 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 3.1 years ago by shyamdon0508 • 20

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Explain the concept of vector magnetic potential.

electromagnetic field and wave theory updated 3.2 years ago by sagarkolekar ★ 11k

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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 3.2 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 3.2 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 3.2 years ago by sagarkolekar ★ 11k

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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 3.2 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 3.2 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 3.2 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 3.2 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 3.2 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 3.2 years ago by sagarkolekar ★ 11k

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716

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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 3.2 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 3.2 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 3.2 years ago by sagarkolekar ★ 11k

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Derive magnetic boundary conditions.

electromagnetic field and wave theory updated 3.2 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 3.2 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 3.2 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 3.2 years ago by sagarkolekar ★ 11k

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794

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

electromagnetic field and wave theory updated 3.2 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 3.2 years ago by sagarkolekar ★ 11k

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729

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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 3.2 years ago by sagarkolekar ★ 11k

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A current sheet, $\overline{K}=10\hat{a_{x}}\space A/m$ lies in the z=0 m plan and current filament is located at y=0 m, z=6 m. Determine current and its direction if $\overline{K}=0$ at (0,0,2.5) m.

electromagnetic field and wave theory updated 3.2 years ago by sagarkolekar ★ 11k