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A-LevelPhysicsD.C. circuits9702/42 · Feb/Mar 2018 · Q87 Marks

(a) Two properties of an ideal operational amplifier (op-amp) are infinite bandwidth and infinite slew rate. Explain what is meant by (i) infinite bandwidth, (ii) infinite slew rate. (b) An ideal op-amp is incorporated into the circuit of [Figure 8.1]. (i) Determine the resistance R_T of the thermistor T at which the output potential difference V_OUT is zero. (ii) The temperature of the thermistor is gradually increased so that its resistance decreases from 1.5R_T to 0.5R_T. On [Figure 8.2], draw a line to show the variation of the output potential difference V_OUT with the thermistor resistance. (iii) On [Figure 8.1], draw the symbol for a light-emitting diode (LED), connected at the output of the circuit, such that it emits light when the resistance of the thermistor is less than R_T.

  1. (a)(i)infinite bandwidth,[1]
  2. (a)(ii)infinite slew rate.[1]
  3. (b)(i)Determine the resistance R_T of the thermistor T at which the output potential difference V_OUT is zero. R_T = ..................................................................... Ω[1]
  4. (b)(ii)On Fig. 8.2, draw a line to show the variation of the output potential difference V_OUT with the thermistor resistance.[2]
  5. (b)(iii)On Fig. 8.1, draw the symbol for a light-emitting diode (LED), connected at the output of the circuit, such that it emits light when the resistance of the thermistor is less than R_T.[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] all frequencies have the same gain
  2. [B1] output changes at the same time as input changes
  3. [A1] R_T/800 = 1.8/1.2
  4. [A1] R_T = 1200 Ω
  5. [B1] stepped from –9 V to +9 V or v.v.
  6. [B1] Vout negative < R_T and Vout positive > R_T
  7. [B1] correct LED symbol with connection between VOUT and earth
  8. [B1] diode pointing upwards

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About this question

Topic
D.C. circuits, A-Level Physics (syllabus 9702). Structured question, 7 marks.
Source
A-Level Physics, Feb/Mar 2018 Paper 4 Variant 2, question 8.

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