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A-LevelPhysicsAlternating currents9702/42 · Feb/Mar 2017 · Q911 Marks

An ideal transformer is shown in Fig. 9.1. input primary coil 1200 turns Fig.9.1 core output secondary coil (b) An alternating voltage of peak value 150V is applied across the 1200 turns of the primary coil. The variation with time t of the e.m.f. E induced across the secondary coil is shown in Fig. 9.2. 60 E/V 40 20 0 0 -20 -40 -60 5.0 10.0 15.0 20.0 t/ms 25.0 Fig. 9.2 (c) A resistor is connected between the output terminals of the secondary coil. The mean power dissipated in the resistor is 1.2 W. It may be assumed that the varying voltage across the resistor is equal to the varying e.m.f. E shown in Fig. 9.2. (ii) On Fig.9.3, sketch the variation with time t of the power P dissipated in the resistor for t = 0 to t = 22.5 ms. 3.0 P/W 2.0 1.0 0 0 5.0 10.0 15.0 20.0 t/ms 25.0 Fig. 9.3

  1. (a)(i)Explain why the core is made of iron,[1]
  2. (a)(ii)why an electromotive force (e.m.f.) is not induced at the output when a constant direct voltage is at the input.[2]
  3. (b)(i)Use data from Fig. 9.2 to calculate the number of turns of the secondary coil,[2]
  4. (b)(ii)state one time when the magnetic flux linking the secondary coil is a maximum.[1]
  5. (c)(i)Calculate the resistance of the resistor.[2]
  6. (c)(ii)On Fig.9.3, sketch the variation with time t of the power P dissipated in the resistor for t = 0 to t = 22.5 ms.[3]

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Mark scheme

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

  1. [B1] increase flux linkage (with secondary coil)/to reduce flux loss
  2. [B1] e.m.f. (induced only) when flux (in core/coil) is changing
  3. [B1] constant/direct voltage gives constant flux/field
  4. [C1] N_s / N_p = V_s / V_p
  5. [A1] N_s = (52 / 150) × 1200 = 416 turns
  6. [A1] 0 ms or 7.5 ms or 15.0 ms or 22.5 ms
  7. [C1] mean power = V²/2R and V = 52 (V)
  8. [A1] R = 52² / (2 × 1.2) = 1100 (1127)Ω
  9. [C1] or mean power = V²_rms / R and V_rms = 52 / √2 (= 36.8V)
  10. [A1] R = 36.8² / 1.2 = 1100 Ω
  11. [B1] sinusoidal shape with troughs at zero power
  12. [B1] only 3 'cycles'
  13. [B1] each 'cycle' is 2.4 W high and zero power at correct times

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About this question

Topic
Alternating currents, A-Level Physics (syllabus 9702). Structured question, 11 marks.
Source
A-Level Physics, Feb/Mar 2017 Paper 4 Variant 2, question 9.

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