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An infinite line of charge (surface charge density ρs ) is oriented along the z-axis. It is located a distance d above a grounded, conducting half-plane oriented in the x−z plane and a distance d away from a grounded, conducting half-plane oriented in the y−z plane, as shown below. Consider the halfplanes to be infinite. a) Draw the locations, magnitudes, and polarities of the image lines of charge with respect to each of the two grounded conductors. b) Find the electric field at an arbitrary point P = (x, y, 0).

An infinite line of charge (surface charge density ρs ) is oriented along the z-axis. It is located a distance d above a grounded, conducting half-plane oriented in the x−z plane and a distance d away from a grounded, conducting half-plane oriented in the y−z plane, as shown below. Consider the halfplanes to be infinite. a) Draw the locations, magnitudes, and polarities of the image lines of charge with respect to each of the two grounded conductors. b) Find the electric field at an arbitrary point P = (x, y, 0).

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An infinite line of charge (surface charge density ρ s ) is oriented along the z-axis. It is located a distance d above a grounded, conducting half-plane oriented in the x − z plane and a distance d away from a grounded, conducting half-plane oriented in the y − z plane, as shown below. Consider the halfplanes to be infinite. a) Draw the locations, magnitudes, and polarities of the image lines of charge with respect to each of the two grounded conductors. b) Find the electric field at an arbitrary point P = ( x , y , 0 ) .

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