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Electromagnetic Field And Wave Theory

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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 3.5 years ago by sagarkolekar ★ 11k

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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 3.5 years ago by sagarkolekar ★ 11k

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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 3.5 years ago by sagarkolekar ★ 11k

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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 3.5 years ago by sagarkolekar ★ 11k

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910

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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 3.5 years ago by sagarkolekar ★ 11k

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832

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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 3.5 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 3.5 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 3.5 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 3.5 years ago by sagarkolekar ★ 11k

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3.1k

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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 3.5 years ago by sagarkolekar ★ 11k

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State and explain Skin effect.

electromagnetic field and wave theory updated 3.5 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 3.5 years ago by sagarkolekar ★ 11k

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Given $\overline{D}=2rz \cos^{2}\phi\space\hat{a_{r}}-rz\sin\phi\cos\phi\space\hat{a_{\phi}}+r^{2}\cos^{2}\phi\space\hat{a_{z}}$.

electromagnetic field and wave theory updated 3.5 years ago by sagarkolekar ★ 11k

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771

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Explain the procedure for obtaining the vectors and unit vectors.

electromagnetic field and wave theory updated 3.5 years ago by sagarkolekar ★ 11k

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796

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Define Curl, Divergence and Gradient

electromagnetic field and wave theory updated 3.5 years ago by sagarkolekar ★ 11k

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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 3.5 years ago by sagarkolekar ★ 11k

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620

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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 3.5 years ago by sagarkolekar ★ 11k

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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 3.5 years ago by sagarkolekar ★ 11k

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641

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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 3.5 years ago by sagarkolekar ★ 11k

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3.9k

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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 3.5 years ago by sagarkolekar ★ 11k

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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 3.5 years ago by sagarkolekar ★ 11k

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1.1k

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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 3.5 years ago by sagarkolekar ★ 11k

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757

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Write a short note on Electric dipole.

electromagnetic field and wave theory updated 3.5 years ago by sagarkolekar ★ 11k

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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 3.5 years ago by sagarkolekar ★ 11k

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689

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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 3.5 years ago by sagarkolekar ★ 11k