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A Levels Physics (9702)•9702/12/M/J/21
Question 36 from 9702/12/M/J/21

Explanation

Terminal voltage rises with decreasing current in cells with internal resistance

Steps:

  • Terminal voltage V=E−IrV = E - IrV=E−Ir, where EEE is emf, III is current, and rrr is internal resistance.
  • Current I=E/(Rtotal+r)I = E / (R_\text{total} + r)I=E/(Rtotal​+r), with RtotalR_\text{total}Rtotal​ as external resistance including fixed RRR and potentiometer.
  • Moving Z towards X increases the effective potentiometer resistance, raising RtotalR_\text{total}Rtotal​.
  • Higher RtotalR_\text{total}Rtotal​ lowers III, reducing IrIrIr drop, so VVV increases.

Why C is correct:

  • By Ohm's law, V=E⋅RtotalRtotal+rV = E \cdot \frac{R_\text{total}}{R_\text{total} + r}V=E⋅Rtotal​+rRtotal​​; increasing RtotalR_\text{total}Rtotal​ makes VVV approach EEE.

Why the others are wrong:

  • A: Voltmeter reading actually increases, not decreases, when current falls.
  • B: Current increase would decrease reading, but motion causes current decrease.
  • D: Current decrease causes reading increase, not the reverse.

Final answer: C

Topic: Potential dividers

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