IB Physics. Electric Potential and Field

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A tutorial sheet of questions on electric potential and field follows.

  1. Explain why the electric potential is negative in sign around a negative charge.
  2. A spherical shell of radius R carries a charge Q. What is the electric potential at the centre of the sphere?
  3. A spherical shell of radius R carries a charge Q. What is the electric field at the centre of the sphere?
  4. A sphere of radius R contains charge of uniform density 𝜌. Find the electric potential at the centre of the sphere.
  5. A sphere of radius R contains charge of uniform density 𝜌. Find the electric field at the centre of the sphere.
  6. A sphere of radius R contains charge of uniform density 𝜌. The sphere contains a spherical cavity of radius R/4 at a distance R/2 from the centre of the sphere. Find the electric potential at the centre of the cavity.