TAGGED IN

Electromagnetic Field And Wave Theory

Follow this tag to get notifications whenever a new post is added

107
Posts
5
Followers
0
Contributors

ALL TAGS

Read
Write

votes

answers

3.0k

views

answers

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

votes

answers

2.2k

views

answers

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 3.5 years ago by sagarkolekar ★ 11k

votes

answers

3.1k

views

answers

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

votes

answers

2.6k

views

answers

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 3.5 years ago by sagarkolekar ★ 11k

votes

answers

2.3k

views

answers

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 3.5 years ago by sagarkolekar ★ 11k

vote

answers

3.3k

views

answers

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 3.5 years ago by sagarkolekar ★ 11k

vote

answers

1.4k

views

answers

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 3.5 years ago by sagarkolekar ★ 11k

vote

answers

1.5k

views

answers

Find the relative permittivity of the dielectric material used in a parallel plate capacitor, if-

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

vote

answers

2.0k

views

answers

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 3.5 years ago by sagarkolekar ★ 11k

votes

answers

3.9k

views

answers

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

votes

answers

6.8k

views

answers

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

votes

answers

5.3k

views

answers

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 3.4 years ago by shyamdon0508 • 20

votes

answers

822

views

answers

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

votes

answers

1.1k

views

answers

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

votes

answers

759

views

answers

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 3.5 years ago by sagarkolekar ★ 11k

votes

answers

1.4k

views

answers

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

votes

answers

2.7k

views

answers

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 3.5 years ago by sagarkolekar ★ 11k

vote

answers

2.7k

views

answers

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 3.5 years ago by sagarkolekar ★ 11k

votes

answers

897

views

answers

Derive magnetic boundary conditions.

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

votes

answers

719

views

answers

Using magnetic boundary condition, show that $\frac{\tan \alpha_{1}}{\tan \alpha_{2}}=\frac{\mu_{r1}}{\mu_{r2}}$.

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

votes

answers

1.2k

views

answers

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 3.5 years ago by sagarkolekar ★ 11k

votes

answers

831

views

answers

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

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

votes

answers

781

views

answers

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 3.5 years ago by sagarkolekar ★ 11k

votes

answers

632

views

answers

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 3.5 years ago by sagarkolekar ★ 11k

votes

answers

587

views

answers

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 3.5 years ago by sagarkolekar ★ 11k