Consider two nested, spherical conducting shells shown in grey and red in the figure 7. The firsthas 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 greyshell). Answer case II Consider two nested, spherical conducting shells shown in grey and red in the figure 7. The firsthas 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 greyshell).Figure 7: Two nested conducting spherical shellsa) Express Qas Qb, Qes Qd and in terms of Q.b) Derive an expression for the electric filed of this configuration for r d.c)Derive an expression for the electric potential associated with the electric field found in partb, 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 - Qisintroduced 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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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). C a