Question

3. In a cylindrical capacitor, the inside electrode has radius 1 and potential V the outside electrode has radius r2 and potential V2. 0 (a) Derive the Laplace equation la + + = 0 for the electrostatic potential V(z, y, z) inside the dielectric layer (b) Using the cylindrical symmetry, reduce the Laplace equation to an ODE and find the electrostatic potential y9 糺r 의 + and Δu-糺r'W +-GR sin )- 습. La placan in cylindrical and spherical coordinates Δυ-

Answer 1

Second Part:

lapho'a equa hon 0 2군2 ld-ordinate (v,e,2) w-ordinates 01- eyll;ndrial ro- っγ r o 99レ 72

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