Lossy dielectric between spherical electrodes. Consider a spherical capacitor with the region between the inner and...

 

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Lossy dielectric between spherical electrodes. Consider a spherical capacitor with the region between the inner and outer electrodes filled with lossy material with permittivity eo and conductivity e-r/b Oy = 00 where b is the radius of the outer electrode and oo is a constant. The inner electrode (with radius a) is held at a constant potential of Vo while the outer electrode (with radius b > a) is at zero potential. (a) Determine the charge Q on the inner and outer electrodes, and the charge distribution p(r) in the region between the electrodes. (b) Determine the total space-distributed charge in the region between the electrodes. Lossy dielectric between spherical electrodes. Consider a spherical capacitor with the region between the inner and outer electrodes filled with lossy material with permittivity eo and conductivity e-r/b Oy = 00 where b is the radius of the outer electrode and oo is a constant. The inner electrode (with radius a) is held at a constant potential of Vo while the outer electrode (with radius b > a) is at zero potential. (a) Determine the charge Q on the inner and outer electrodes, and the charge distribution p(r) in the region between the electrodes. (b) Determine the total space-distributed charge in the region between the electrodes.

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