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Consider two nested, spherical conducting shells shown in grey and red in the figure 7. The first has inner radius a and outer radius b. The second has inner radius c and outer radius d. Case I A positive charge +Q is introduced into the center of the inner spherical shell (the grey shell). Asnwer case I

Consider two nested, spherical conducting shells shown in grey and red in the figure 7. The first has inner radius a and outer radius b. The second has inner radius c and outer radius d. Case I A positive charge +Q is introduced into the center of the inner spherical shell (the grey shell). Asnwer case I

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Consider two nested, spherical conducting shells shown in grey and red in the figure 7. The first

has inner radius a and outer radius b. The second has inner radius c and outer radius d.

Case I A positive charge +Q is introduced into the center of the inner spherical shell (the grey

shell).

Asnwer case I

Consider two nested, spherical conducting shells shown in grey and red in the figure 7. The first has inner radius a and outer radius b. The second has inner radius c and outer radius d. Case I A positive charge +Q is introduced into the center of the inner spherical shell (the grey shell). Figure 7: Two nested conducting spherical shells a) Express Qas Qb, Qes Qd and in terms of Q. b) Derive an expression for the electric filed of this configuration for r <a, a <r<b, b<r<c, c<r<d, and r > d. c) Derive an expression for the electric potential associated with the electric field found in part b, for ra. Take V (∞) = 0. Case II b) The outer shell is grounded, i.e. it is fixed at V = 0 and a negative charge - Qis introduced into the center of the inner spherical shell. a) Express Qas Qb, Qe, Qa in terms of Q. b) Derive an expression for the electric filed outside the shells r > c. c) Derive an expression for the electric potential outside the shells r > c.
Transcribed Image Text:Consider two nested, spherical conducting shells shown in grey and red in the figure 7. The first has inner radius a and outer radius b. The second has inner radius c and outer radius d. Case I A positive charge +Q is introduced into the center of the inner spherical shell (the grey shell). Figure 7: Two nested conducting spherical shells a) Express Qas Qb, Qes Qd and in terms of Q. b) Derive an expression for the electric filed of this configuration for r <a, a <r<b, b<r<c, c<r<d, and r > d. c) Derive an expression for the electric potential associated with the electric field found in part b, for ra. Take V (∞) = 0. Case II b) The outer shell is grounded, i.e. it is fixed at V = 0 and a negative charge - Qis introduced into the center of the inner spherical shell. a) Express Qas Qb, Qe, Qa in terms of Q. b) Derive an expression for the electric filed outside the shells r > c. c) Derive an expression for the electric potential outside the shells r > c.
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