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A-LevelPhysicsElectric fields9702/41 · May/June 2018 · Q65 Marks

6 (a) State what is meant by electric field strength. (b) An isolated metal sphere A of radius 26cm is positively charged. Sphere A is shown in Fig. 6.1. [Figure 6.1] Electrical breakdown (a spark) occurs when the electric field strength at the surface of the sphere exceeds 2.0 × 10⁴ Vm⁻¹. Calculate the maximum charge Q that can be stored on the sphere. Q = .............................................. C (c) A second isolated metal sphere B, also with charge +Q, has a radius of 52 cm. Calculate the additional charge, in terms of Q, that may be stored on this sphere before electrical breakdown occurs. additional charge = ..............................................

  1. (a)State what is meant by electric field strength.[1]
  2. (b)Calculate the maximum charge Q that can be stored on the sphere. Q = .............................................. C[2]
  3. (c)Calculate the additional charge, in terms of Q, that may be stored on this sphere before electrical breakdown occurs. additional charge = ..............................................[2]

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Mark scheme

Marking points from the official mark scheme (May/June 2018). The mark or mark type is shown in brackets.

  1. [B1] force per unit charge
  2. [C1] E = Q/(4πε₀r²)
  3. [C1] 2.0 × 10⁴ = Q / (4π × 8.85 × 10⁻¹² × 0.26²)
  4. [A1] charge = 1.5 × 10⁻⁷ C
  5. [C1] charge (= Q [52/26]²) = 4Q
  6. [A1] additional charge = 3Q

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About this question

Topic
Electric fields, A-Level Physics (syllabus 9702). Structured question, 5 marks.
Source
A-Level Physics, May/June 2018 Paper 4 Variant 1, question 6.

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