A spherical capacitor consists of two concentric spheres with the inner sphere of radius a and the outer sphere of radius b. The total charge on the inner sphere is Q C whereas the outer sphere similarly supports a charge of −Q C. For both spheres, the charge is uniformly distributed. If the permittivity in all regions is the same as that of free space, use Gauss’s law to determine the electric field intensity everywhere. Provide a plot of the magnitude of the electric field intensity versus radial distance as measured from the spherical centre.

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A spherical capacitor consists of two concentric spheres with the inner sphere of radius a
and the outer sphere of radius b. The total charge on the inner sphere is Q C whereas
the outer sphere similarly supports a charge of −Q C. For both spheres, the charge is
uniformly distributed. If the permittivity in all regions is the same as that of free space,
use Gauss’s law to determine the electric field intensity everywhere. Provide a plot of
the magnitude of the electric field intensity versus radial distance as measured from the
spherical centre.

 

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