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· (a)Solve the Laplace equation to obtain the electric potential in the region 0 < x < a,0 < y < b with the boundary condition V(x = 0) = V (x = x = %3D a) = Vo, V (y = 0) = V (y = b) = 0.

· (a)Solve the Laplace equation to obtain the electric potential in the region 0 < x < a,0 < y < b with the boundary condition V(x = 0) = V (x = x = %3D a) = Vo, V (y = 0) = V (y = b) = 0.

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1. (a)Solve the Laplace equation to obtain the electric potential in the region 0 < x < a, 0 < y < b with the boundary condition V(x = 0) = V (x = x = a) = Vo, V (y = 0) = V(y = b) = 0. (b)Plot the potential as a function of x,y. Is there a local maximum or minimum value in the potential? (c)Obtain the electric field. Sketch the vector field on xy plane. (c)In part (a) find the surface charge density on x = 0 and y = 0 bound- aries.
Transcribed Image Text:1. (a)Solve the Laplace equation to obtain the electric potential in the region 0 < x < a, 0 < y < b with the boundary condition V(x = 0) = V (x = x = a) = Vo, V (y = 0) = V(y = b) = 0. (b)Plot the potential as a function of x,y. Is there a local maximum or minimum value in the potential? (c)Obtain the electric field. Sketch the vector field on xy plane. (c)In part (a) find the surface charge density on x = 0 and y = 0 bound- aries.
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