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Electromagnetic Field And Wave Theory

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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 3.9 years ago by sagarkolekar ★ 11k

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1.2k

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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 3.9 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 3.9 years ago by sagarkolekar ★ 11k

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924

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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 3.9 years ago by sagarkolekar ★ 11k

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1.5k

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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 3.9 years ago by sagarkolekar ★ 11k

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1.1k

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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 3.9 years ago by sagarkolekar ★ 11k

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1.1k

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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 3.9 years ago by sagarkolekar ★ 11k

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1.6k

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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 3.9 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 3.9 years ago by sagarkolekar ★ 11k

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1.8k

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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 3.9 years ago by sagarkolekar ★ 11k

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662

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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 3.9 years ago by sagarkolekar ★ 11k

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2.7k

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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 3.9 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 3.9 years ago by sagarkolekar ★ 11k

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602

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Discuss the various practical applications of electrostatic fields.

electromagnetic field and wave theory updated 3.9 years ago by sagarkolekar ★ 11k

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3.2k

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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 3.9 years ago by sagarkolekar ★ 11k

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722

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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 3.9 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 3.9 years ago by sagarkolekar ★ 11k

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782

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Write a short note on Electric dipole.

electromagnetic field and wave theory updated 3.9 years ago by sagarkolekar ★ 11k

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1.2k

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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 3.9 years ago by sagarkolekar ★ 11k

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2.6k

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Find the charge enclosed in a cube of having side of 2 m with the edges of the cube parallel to axes x, y and z while origin is at the centre of the cube.

electromagnetic field and wave theory updated 3.9 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 3.9 years ago by sagarkolekar ★ 11k

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644

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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 3.9 years ago by sagarkolekar ★ 11k

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1.6k

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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 3.9 years ago by sagarkolekar ★ 11k

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632

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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 3.9 years ago by sagarkolekar ★ 11k

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614

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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 3.9 years ago by sagarkolekar ★ 11k