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(Solved): help A concentric spherical structure consists of an inner conductor with radius a and an outer cond ...
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A concentric spherical structure consists of an inner conductor with radius a and an
outer conductor with an inner radius c, both assumed to be perfect electric
conductors. The region between the conductors is filled with two homogeneous
dielectric material 1 and 2, having relative permittivities \rho _(s)((C)/(m^(2)))()/(bar) (D)(,)/(b)ar (E)()/(bar) (P)\rho _(sb)r=a,r=br=cr respectively. Assuming a charge density, \rho _(s)((C)/(m^(2))) exists on the surface of the
inner conductor, determine:
(i) ()/(bar) (D)(,)/(b)ar (E) and ()/(bar) (P) in dielectric materials.
(ii) Bound surface charge density, \rho _(sb) on the surfaces r=a,r=b, and r=c.
(iii) Potential difference between the conducting spheres.
(iv) Total capacitance for this structure.
(v) The maximum voltage that can be applied to each dielectric (refer Table).
(vi) The maximum energy that can be stored (refer Table).