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Consider two conducting plates positioned on z = 0 and z = 5 m surfaces. The plates are grounded and both have zero potential. In between the plates, on z = 2 m surface, there is a uniform and static surface charge of 6€, . The permittivity of the region z < 2 m is €o, whereas it is 2e, in the region z > 2 m. Determine the surface charge densities at z = 0 and z = 5 m. Hint: Let V, denote the electrostatic potential at z = 2. Express the electric and displacement fields above and below z = 2 in terms of V, and use boundary condition equations on z = 0, 2, and 5 m surfaces to relate V, to pertinent surface charge densities.

Consider two conducting plates positioned on z = 0 and z = 5 m surfaces. The plates are grounded and both have zero potential. In between the plates, on z = 2 m surface, there is a uniform and static surface charge of 6€, . The permittivity of the region z < 2 m is €o, whereas it is 2e, in the region z > 2 m. Determine the surface charge densities at z = 0 and z = 5 m. Hint: Let V, denote the electrostatic potential at z = 2. Express the electric and displacement fields above and below z = 2 in terms of V, and use boundary condition equations on z = 0, 2, and 5 m surfaces to relate V, to pertinent surface charge densities.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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2. Consider two conducting plates positioned on z = 0 and z = 5 m surfaces. The plates are grounded and both have zero potential. In between the plates, on z = 2 m surface, there is a uniform and static surface charge of 6€, . The permittivity of the region z < 2 m is €o, whereas it is 2€, in the region z > 2 m. Determine the surface charge densities at z = 0 and z = 5 m. Hint: Let V, denote the electrostatic potential at z = 2. Express the electric and displacement fields above and below z = 2 in terms of V, and use boundary condition equations on z = 0, 2, and 5 m surfaces to relate V, to pertinent surface charge densities.
Transcribed Image Text:2. Consider two conducting plates positioned on z = 0 and z = 5 m surfaces. The plates are grounded and both have zero potential. In between the plates, on z = 2 m surface, there is a uniform and static surface charge of 6€, . The permittivity of the region z < 2 m is €o, whereas it is 2€, in the region z > 2 m. Determine the surface charge densities at z = 0 and z = 5 m. Hint: Let V, denote the electrostatic potential at z = 2. Express the electric and displacement fields above and below z = 2 in terms of V, and use boundary condition equations on z = 0, 2, and 5 m surfaces to relate V, to pertinent surface charge densities.
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