Question

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Problem 1: 20 Points Two infinite planes of insulating material are arranged like a capacitor, with equal and opposite charge densities on them (pR+po and pLP. They are each have a thickness h and are separated by a distance D. Take XY to be the coordinates the planes are infinite in, and Z to be the direction of separation between the planes. a) Prove (any way you like) that A's ti for one of the planes when outside the plane b) Draw the Electric Field as a function of z for all space c) Prove the Electric Potential inside one of the planes is V where 2o is the 260 center of the plane. d) Draw the Electric Potential as a function of z for all space 22)3/ 2a22 a2 +x2 dzarctan(r/a (a2 +x2) dx (l cos(r)dz-sin(r) EO pointcharge 4TTEOT pointcharge 4EOT

Answer 1

Saln 2 Avee Aven A - Aven A E。 us Zevo there are CE(A (2)

Electric Potetial Insse nE.RA 2 E A Bust meu z-2. &2 2.

Electric Fiel& un all ace antes , R. . ③ &6, &eng cada ceradeed ラE-. 2p@h-- Rh E o 2. Ia 2. 2E5 고 2.

Pstential in all Space p. h e. Eo Parabsla abest 2. Ve)