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A-LevelPhysicsCapacitance9702/43 · Oct/Nov 2017 · Q68 Marks

Two capacitors P and Q, each of capacitance C, are connected in series with a battery of e.m.f. 9.0V, as shown in Fig. 6.1. [Figure 6.1] A switch S is used to connect either a third capacitor T, also of capacitance C, or a resistor R, in parallel with capacitor P.

  1. (a)Switch S is in position X. Calculate
  2. (a)(i)the combined capacitance, in terms of C, of the three capacitors, capacitance = .....................................................[2]
  3. (a)(ii)the potential difference across capacitor Q. Explain your working. potential difference = ..................................................... V[2]
  4. (b)Switch S is now moved to position Y. State what happens to the potential difference across capacitor P and across capacitor Q. capacitor P: ............................................................................................................................................................................................................................................................................................ capacitor Q: ............................................................................................................................................................................................................................................................................................[4]

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Mark scheme

Marking points from the official mark scheme (Oct/Nov 2017). The mark or mark type is shown in brackets.

  1. [C1] 1/T = 1/(2C) + 1/C
  2. [A1] T = ⅔C or 0.67C
  3. [B1] same charge on Q as on combination
  4. [B1] so p.d. is 6.0 V
  5. [B1] P: p.d. will decrease (from 3.0V)
  6. [B1] to zero
  7. [B1] Q: p.d. will increase (from 6.0V)
  8. [B1] to 9.0V

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About this question

Topic
Capacitance, A-Level Physics (syllabus 9702). Structured question, 8 marks.
Source
A-Level Physics, Oct/Nov 2017 Paper 4 Variant 3, question 6.

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