Consider a segment of angle α < π/2 of a circle of radius R. There is a dipolar layer on the circular arc of the circle
Posted: Mon May 23, 2022 11:59 am
Consider a segment of angle α < π/2 of a circle of
radius R. There is a dipolar layer on the circular arc of the
circle segment and no charge inside the segment.
Thank you
α R Dipolar Layer
a) Show that the given electrostatic potential in cylindrical coordinates, α Sp/a sin (I._) + 3/27/a sin (26) "SR, VE [0,a], p <, SE , or,y) = otherwise. {7" = solves the Poisson equation Aø(r, 4) = 0 inside of the segment and specify the boundary conditions of this boundary value problem. b) Compute the electric field Ē (F") inside of the segment. c) Calculate the surface charge density o(ñ) on the boundaries of the circle segment as well as the dipole moment D() of the dipolar layer.
radius R. There is a dipolar layer on the circular arc of the
circle segment and no charge inside the segment.
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α R Dipolar Layer
a) Show that the given electrostatic potential in cylindrical coordinates, α Sp/a sin (I._) + 3/27/a sin (26) "SR, VE [0,a], p <, SE , or,y) = otherwise. {7" = solves the Poisson equation Aø(r, 4) = 0 inside of the segment and specify the boundary conditions of this boundary value problem. b) Compute the electric field Ē (F") inside of the segment. c) Calculate the surface charge density o(ñ) on the boundaries of the circle segment as well as the dipole moment D() of the dipolar layer.