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The capacitance of a spherical resistor is:

Correct answer: B. (4πεab)/(b-a)

  • A. 4πε(b-a)
  • B. (4πεab)/(b-a)
  • C. None of these
  • D. 4πεab

Explanation

The capacitance of a spherical resistor is given by:C = (4πεab)/(b-a) whereQ= is the charge on the inner sphere.ε = permittivity of free spacea = radius of the inner sphereb = radius of the outer sphereAdditionally, the unit for capacitance is Farad.

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Electrostatics describes forces between charges through Coulomb's law, electric fields and field intensity, then uses electric potential to measure energy per unit charge. Capacitors store charge and electrical energy, with capacitance depending on geometry and dielectric material, not simply on the amount of charge present.

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