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A-LevelPhysicsD.C. circuits9702/23 · May/June 2021 · Q511 Marks

Define the electromotive force (e.m.f.) of a source.

  1. (a)Define the electromotive force (e.m.f.) of a source.[2]
  2. (b)The circuit shown in Fig. 5.1 contains a battery of e.m.f. E that has internal resistance r, a variable resistor, a voltmeter and an ammeter. [Figure 5.1] Readings from the two meters are taken for different settings of the variable resistor. The variation with current I of the potential difference (p.d.) V across the terminals XY of the battery is shown in Fig. 5.2. [Figure 5.2] Explain why V is not constant.[3]
  3. (c)For the battery in (b), use Fig. 5.2 to determine:
  4. (c)(i)the e.m.f. E E = ............................................................ V[1]
  5. (c)(ii)the maximum current that the battery can supply maximum current = ............................................................ A[1]
  6. (c)(iii)the internal resistance r. r = ............................................................ Ω[2]
  7. (d)On Fig. 5.2, sketch a line to show a possible variation with I of V for a battery with a lower e.m.f. and a lower internal resistance than the battery in (b). Your line should extend over at least the same range of currents as the original line.[2]

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Mark scheme

Marking points from the official mark scheme (May/June 2021). The mark or mark type is shown in brackets.

  1. [B1] energy per unit charge
  2. [B1] energy transferred by source driving charge around the complete circuit OR energy transferred from other forms to electrical energy
  3. [B1] there is a p.d. across the internal resistance/r
  4. [B1] change in current/I results in a change in p.d. across the internal resistance
  5. [B1] V = E - p.d. across internal resistance OR change in p.d. across r causes a change in V (as e.m.f. is constant)
  6. [A1] E = 7.4 V
  7. [A1] maximum current = 0.92 A
  8. [C1] r = E/I_MAX or (-)gradient
  9. [A1] e.g. r = 7.4/0.92 = 8.0 Ω
  10. [B1] straight line with negative gradient that is smaller in magnitude than the original line
  11. [B1] line which would have intercept on V-axis below the original line

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About this question

Topic
D.C. circuits, A-Level Physics (syllabus 9702). Structured question, 11 marks.
Source
A-Level Physics, May/June 2021 Paper 2 Variant 3, question 5.

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