Q2. a) Explain why the static electric field is always zero inside an isolated conductor. What is the consequence of this for the electric field at the surface of the conductor? b) A square, thin aluminium plate has dimensions of 20 mm x 20 mm x 0.3 mm. It carries a charge of + 17pC. (i) How many electrons have been transferred in charging the plate, assuming its initial charge was -5pC. (ii) Sketch the distribution of electric field and equipotential surfaces in the space outside the plate, labelling the important features. (iii) Stating any approximations you make, estimate the electric field magnitude on the surface of the plate. (iv) Again stating any approximations you make, estimate the electric field magnitude and electric potential a distance of 10m from the plate. c) The plate is now placed parallel to a large, flat aluminium plate, held at an electric potential of -4.5V. Assume that no charge has been lost and that the plates have a final (constant) separation of 1.5mm. (i) Estimate the electric field magnitude between the plates and hence estimate the voltage across the plates, stating your approximations. (ii) Sketch the electric field distribution and equipotential surfaces in and around the plates, labelling the important features. (iii) Determine precisely where the electric potential is zero.

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Q2 b parts i,ii,iii

Q2. a) Explain why the static electric field is always zero inside an isolated
conductor. What is the consequence of this for the electric field at the surface
of the conductor?
b) A square, thin aluminium plate has dimensions of 20 mm x 20 mm x 0.3 mm.
It carries a charge of + 17pC.
(i) How many electrons have been transferred in charging the plate,
assuming its initial charge was -5pC.
(ii) Sketch the distribution of electric field and equipotential surfaces in the
space outside the plate, labelling the important features.
(iii) Stating any approximations you make, estimate the electric field
magnitude on the surface of the plate.
(iv) Again stating any approximations you make, estimate the electric field
magnitude and electric potential a distance of 10m from the plate.
c) The plate is now placed parallel to a large, flat aluminium plate, held at an
electric potential of -4.5V. Assume that no charge has been lost and that the
plates have a final (constant) separation of 1.5mm.
(i) Estimate the electric field magnitude between the plates and hence
estimate the voltage across the plates, stating your approximations.
(ii) Sketch the electric field distribution and equipotential surfaces in and
around the plates, labelling the important features.
(iii) Determine precisely where the electric potential is zero.
Transcribed Image Text:Q2. a) Explain why the static electric field is always zero inside an isolated conductor. What is the consequence of this for the electric field at the surface of the conductor? b) A square, thin aluminium plate has dimensions of 20 mm x 20 mm x 0.3 mm. It carries a charge of + 17pC. (i) How many electrons have been transferred in charging the plate, assuming its initial charge was -5pC. (ii) Sketch the distribution of electric field and equipotential surfaces in the space outside the plate, labelling the important features. (iii) Stating any approximations you make, estimate the electric field magnitude on the surface of the plate. (iv) Again stating any approximations you make, estimate the electric field magnitude and electric potential a distance of 10m from the plate. c) The plate is now placed parallel to a large, flat aluminium plate, held at an electric potential of -4.5V. Assume that no charge has been lost and that the plates have a final (constant) separation of 1.5mm. (i) Estimate the electric field magnitude between the plates and hence estimate the voltage across the plates, stating your approximations. (ii) Sketch the electric field distribution and equipotential surfaces in and around the plates, labelling the important features. (iii) Determine precisely where the electric potential is zero.
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