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A-LevelPhysicsD.C. circuits9702/22 · Feb/Mar 2018 · Q510 Marks

State Kirchhoff's second law.

  1. (a)State Kirchhoff's second law.[2]
  2. (b)(i)1Two batteries, each of electromotive force (e.m.f.) 6.0 V and negligible internal resistance, are connected in series with three resistors, as shown in [Figure 5.1]. Resistor X has resistance 4.0 Ω and resistor Y has resistance 1.5 Ω. The resistance R of the variable resistor is changed until the voltmeter in the circuit reads zero. Calculate 1. the current I in the circuit,[1]
  3. (b)(i)2Two batteries, each of electromotive force (e.m.f.) 6.0 V and negligible internal resistance, are connected in series with three resistors, as shown in [Figure 5.1]. Resistor X has resistance 4.0 Ω and resistor Y has resistance 1.5 Ω. The resistance R of the variable resistor is changed until the voltmeter in the circuit reads zero. Calculate 2. the resistance R.[2]
  4. (b)(ii)Resistors X and Y are wires made from the same material. The diameter of the wire of X is twice the diameter of the wire of Y. Determine the ratio average drift speed of free electrons in X / average drift speed of free electrons in Y.[2]
  5. (b)(iii)The resistance R of the variable resistor is now increased. State and explain the effect of the increase in R on the power transformed by each of the batteries.[3]

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Mark scheme

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

  1. [M1] sum of e.m.f.(s) = sum of p.d.(s)
  2. [A1] around a loop / around a closed circuit
  3. [A1] 6.0 – 4.0I = 0
  4. I = 1.5 A
  5. [C1] 6.0 + 6.0 = I (4.0 + R + 1.5)
  6. 12 = 1.5 (4.0 + R + 1.5)
  7. [A1] R = 2.5 Ω
  8. or 6.0 = I (R + 1.5)
  9. 6.0 = 1.5 (R + 1.5)
  10. (C1)
  11. (A1)
  12. or combines 6 = 4I and 6 = I(R + 1.5) to give
  13. 4 = R + 1.5
  14. (C1)
  15. (A1) R = 2.5 Ω
  16. [C1] I = Anvq
  17. ratio = 1^2 / 2^2
  18. [A1] = 0.25
  19. [B1] total (circuit) resistance increases
  20. [M1] current / I decreases or P ∝ I or P ∝ 1 / (total resistance)
  21. [A1] power (transformed) decreases

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About this question

Topic
D.C. circuits, A-Level Physics (syllabus 9702). Structured question, 10 marks.
Source
A-Level Physics, Feb/Mar 2018 Paper 2 Variant 2, question 5.

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