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(Solved): Show that the the capacitance of a spherical capacitor that is composed of spherical shells wit ...



Show that the the capacitance of a spherical capacitor that is composed of spherical shells with radii \( a \) and \( b \) is

Show that the the capacitance of a spherical capacitor that is composed of spherical shells with radii and is given by


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To derive the capacitance of a spherical capacitor composed of two spherical shells with radii a and b, we can use Gauss's law and the definition of capacitance.

The electric field between the two shells of the capacitor is radial and uniform. Using Gauss's law, the electric field magnitude between the shells is given by:
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