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A-LevelPhysicsCapacitance9702/42 · May/June 2018 · Q610 Marks

Explain what is meant by the capacitance of a parallel plate capacitor.

  1. (a)Explain what is meant by the capacitance of a parallel plate capacitor.[3]
  2. (b)(i)Three parallel plate capacitors each have a capacitance of 6.0 µF. Draw circuit diagrams, one in each case, to show how the capacitors may be connected together to give a combined capacitance of 9.0 µF,[1]
  3. (b)(ii)4.0 µF.[1]
  4. (c)(i)Two capacitors of capacitances 3.0 µF and 2.0 µF are connected in series with a battery of electromotive force (e.m.f.) 8.0 V, as shown in Fig. 6.1. Calculate the combined capacitance of the capacitors.[1]
  5. (c)(ii)1.Use your answer in (i) to determine, for the capacitor of capacitance 3.0 µF, the charge on one plate of the capacitor,[2]
  6. (c)(ii)2.the energy stored in the capacitor.[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. [M1] capacitance = charge / potential
  2. [A1] charge is (numerically equal to) charge on one plate
  3. [A1] potential is potential difference between plates
  4. [A1] two in series, in parallel with the other (correct symbols)
  5. [A1] two in parallel connected to one in series (correct symbols)
  6. [A1] capacitance = 1.2 µF
  7. [C1] Q = CV
  8. [A1] = 1.2 x 8.0 = 9.6 µC
  9. [C1] E = ½QV and V = Q/C or E = ½CV² and V = Q/C or E = ½Q²/C
  10. [A1] E = ½ (9.6 × 10⁻⁶)²/ (3.0 × 10⁻⁶) = 1.5 x 10⁻⁵ J

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About this question

Topic
Capacitance, A-Level Physics (syllabus 9702). Structured question, 10 marks.
Source
A-Level Physics, May/June 2018 Paper 4 Variant 2, question 6.

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