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Electromagnetic Field And Wave Theory

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Explain the procedure for obtaining the vectors and unit vectors.

electromagnetic field and wave theory updated 4.1 years ago by phenjoisilab • 0

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844

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Define Curl, Divergence and Gradient

electromagnetic field and wave theory updated 4.1 years ago by phenjoisilab • 0

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663

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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 4.1 years ago by phenjoisilab • 0

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685

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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 4.1 years ago by phenjoisilab • 0

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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 4.1 years ago by phenjoisilab • 0

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682

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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 4.1 years ago by phenjoisilab • 0

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4.1k

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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 4.1 years ago by phenjoisilab • 0

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723

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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 4.1 years ago by phenjoisilab • 0

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1.3k

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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 4.1 years ago by phenjoisilab • 0

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839

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Write a short note on Electric dipole.

electromagnetic field and wave theory updated 4.1 years ago by phenjoisilab • 0

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763

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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 4.1 years ago by phenjoisilab • 0

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783

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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 4.1 years ago by phenjoisilab • 0

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3.3k

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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 4.1 years ago by phenjoisilab • 0

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636

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Discuss the various practical applications of electrostatic fields.

electromagnetic field and wave theory updated 4.1 years ago by phenjoisilab • 0

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2.5k

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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 4.1 years ago by phenjoisilab • 0

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2.8k

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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 4.1 years ago by phenjoisilab • 0

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2.7k

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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 4.1 years ago by phenjoisilab • 0

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656

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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 4.1 years ago by phenjoisilab • 0

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2.3k

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State and explain the physical Significance of Divergence theorem.

electromagnetic field and wave theory updated 4.1 years ago by phenjoisilab • 0

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995

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Prove that the electric flux passing through any closed surface is equal to the total charge enclosed by that surface.

electromagnetic field and wave theory updated 4.1 years ago by phenjoisilab • 0

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3.3k

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Evaluate both sides of the divergence theorem for the region r $\leq$ 2, if $G=5r \sin^{2}\theta\cos^{2}\phi\space\hat{a_{r}}$.

electromagnetic field and wave theory updated 4.1 years ago by phenjoisilab • 0

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4.2k

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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 4.1 years ago by phenjoisilab • 0

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732

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Derive the expression for electric filed due to infinite sheet charge.

electromagnetic field and wave theory updated 4.1 years ago by phenjoisilab • 0

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961

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Definition and physical interpretation of gradient.

electromagnetic field and wave theory updated 4.1 years ago by phenjoisilab • 0

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State & explain Biot Savart's law.

electromagnetic field and wave theory updated 4.1 years ago by phenjoisilab • 0