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3 Two semi-infinite grounded conducting planes 3) meet at right angles. In the region between them, there is a point charge q, situated in the xy-plane as shown in the figure to the right. a) y4 Calculate the potential in this region. * What is the force on q? How much work did it take to bring q in from c) - infinity? V = 0'

3 Two semi-infinite grounded conducting planes 3) meet at right angles. In the region between them, there is a point charge q, situated in the xy-plane as shown in the figure to the right. a) y4 Calculate the potential in this region. * What is the force on q? How much work did it take to bring q in from c) - infinity? V = 0'

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A uniform charge density o fills half of 1) the space between two parallel infinite conducting plates as shown in the figure to the right. The plates are parallel to the yz-plane, separated by a distance 2d, and are both grounded. Determine the electric potential everywhere between the plates. V =0- V= 0 x=0 x=d x= 2d 2) spherical linear dielectric shell of dielectric constant er, and inner and outer radii a and b, respectively, as shown in the figure to the right. A point charge q is situated at the center of a a) { electric field E, and the polarization P, in the three regions r<a, a<r<b, and r> b. b) and surface bound charge densities op. Determine the electric displacement D, the Er 9. Determine the volume bound charge density Pb Two semi-infinite grounded conducting planes meet at right angles. In the region between them, there is a point charge q, situated in the xy-plane as shown in the figure to the right. 3) y 4 b. Calculate the potential in this region. - What is the force on q? a) - How much work did it take to bring g in from V = 0 a c) infinity? A sphere of homogeneous linear dielectric material of 4) dielectric constant e, and radius R is placed in an otherwise uniform electric field Eo= Eo 2 as shown in the figure to the right. Find the electric potential outside the sphere. Useful information: ат aT -f + - ar VT = In spherical coordinates: r sin e ao r a0
Transcribed Image Text:A uniform charge density o fills half of 1) the space between two parallel infinite conducting plates as shown in the figure to the right. The plates are parallel to the yz-plane, separated by a distance 2d, and are both grounded. Determine the electric potential everywhere between the plates. V =0- V= 0 x=0 x=d x= 2d 2) spherical linear dielectric shell of dielectric constant er, and inner and outer radii a and b, respectively, as shown in the figure to the right. A point charge q is situated at the center of a a) { electric field E, and the polarization P, in the three regions r<a, a<r<b, and r> b. b) and surface bound charge densities op. Determine the electric displacement D, the Er 9. Determine the volume bound charge density Pb Two semi-infinite grounded conducting planes meet at right angles. In the region between them, there is a point charge q, situated in the xy-plane as shown in the figure to the right. 3) y 4 b. Calculate the potential in this region. - What is the force on q? a) - How much work did it take to bring g in from V = 0 a c) infinity? A sphere of homogeneous linear dielectric material of 4) dielectric constant e, and radius R is placed in an otherwise uniform electric field Eo= Eo 2 as shown in the figure to the right. Find the electric potential outside the sphere. Useful information: ат aT -f + - ar VT = In spherical coordinates: r sin e ao r a0
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