HA 5.1 The electrostatic potential ? of a hollow sphere with finite thickness. C

Question

HA 5.1 The electrostatic potential ? of a hollow sphere with finite thickness.

Consider a hollow sphere with inner radius R1 and outer radius R2. In the region between R1and R2 consider a charge distribution with volume density ? = ?0R2/r (cf. Fig. HA5.1).

1) Calculate E? by means of Gauss’ theorem at any point in space (no need to show any symmetry argument or canonical curve).

2) Calculate ? at any point in space from E? found in 1). Hint: Start from outside the sphere and use regular condition at infinity for ?.

Figure HA5.1

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