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A-LevelPhysicsMagnetic fields9702/42 · Feb/Mar 2018 · Q97 Marks

A thin slice of conducting material has its faces PQRS and VWXY normal to a uniform magnetic field of flux density B, as shown in [Figure 9.1]. Electrons enter the slice at right-angles to face SRXY. A potential difference, the Hall voltage V_H, is developed between two faces of the slice. (a) (i) Use letters from [Figure 9.1] to name the two faces between which the Hall voltage is developed. (ii) State and explain which of the two faces named in (a)(i) is the more positive. (b) The Hall voltage V_H is given by the expression V_H = BI / ntq (i) Use the letters in [Figure 9.1] to identify the distance t. (ii) State the meaning of the symbol n. (iii) State and explain the effect, if any, on the polarity of the Hall voltage when negative charge carriers (electrons) are replaced with positive charge carriers, moving in the same direction towards the slice.

  1. (a)(i)Use letters from Fig. 9.1 to name the two faces between which the Hall voltage is developed. ................................................................. and .................................................................[1]
  2. (a)(ii)State and explain which of the two faces named in (a)(i) is the more positive.[2]
  3. (b)(i)Use the letters in Fig. 9.1 to identify the distance t.[1]
  4. (b)(ii)State the meaning of the symbol n.[1]
  5. (b)(iii)State and explain the effect, if any, on the polarity of the Hall voltage when negative charge carriers (electrons) are replaced with positive charge carriers, moving in the same direction towards the slice.[2]

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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. [B1] PSYV and QRXW
  2. [M1] electron moving in magnetic field deflected towards face QRXW
  3. [A1] so face PSYV is more positive
  4. [B1] PV or SY or RX or QW
  5. [B1] number of charge carriers per unit volume
  6. [M1] negative and positive charge (carriers) would deflect in opposite directions
  7. [A1] so no change in polarity

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About this question

Topic
Magnetic fields, A-Level Physics (syllabus 9702). Structured question, 7 marks.
Source
A-Level Physics, Feb/Mar 2018 Paper 4 Variant 2, question 9.

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