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MYP Physics · 14 · extended response

Move power from a hill turbine to a village

Magnetism and electromagnetism · Original GioPhysics question with a detailed, mark-by-mark answer guide.

Demand
discriminating
Marks
8
Topics
2
Answer
Complete
extended response8 marks

A small hydro generator is 4 km from a village. Engineers can transmit 60 kW at either 600 V or 6.0 kV through the same cables. Transformers would be needed at both ends of the higher-voltage option.

  1. a

    Calculate Calculate the transmission current for each voltage, assuming the same 60 kW power.

    2 marks
  2. b

    Explain Explain why the higher-voltage option reduces heating in the same cables.

    3 marks
  3. c

    Evaluate Recommend an option, considering physics, infrastructure, safety, and community needs.

    3 marks
Ready to self-mark?Reveal the detailed answer guide
Answer overviewKey answer: Calculates 60 000 W ÷ 600 V = 100 A. Calculates 60 000 W ÷ 6000 V = 10 A. Uses cable heating power P = I²R or equivalent reasoning.
01

a

2 marks

Calculate Calculate the transmission current for each voltage, assuming the same 60 kW power.

How to approach it

Build a chain of claim, evidence and physics reasoning. Address more than one relevant factor, identify a limitation or assumption, and finish with a conclusion that is conditional on the evidence rather than absolute.

  1. 1

    Calculates 60 000 W ÷ 600 V = 100 A.

  2. 2

    Calculates 60 000 W ÷ 6000 V = 10 A.

02

b

3 marks

Explain Explain why the higher-voltage option reduces heating in the same cables.

How to approach it

Build a chain of claim, evidence and physics reasoning. Address more than one relevant factor, identify a limitation or assumption, and finish with a conclusion that is conditional on the evidence rather than absolute.

  1. 1

    Uses cable heating power P = I²R or equivalent reasoning.

  2. 2

    States that the current is reduced by a factor of 10.

  3. 3

    Concludes that resistive heating is reduced by a factor of 100 for the same cable resistance.

03

c

3 marks

Evaluate Recommend an option, considering physics, infrastructure, safety, and community needs.

How to approach it

Build a chain of claim, evidence and physics reasoning. Address more than one relevant factor, identify a limitation or assumption, and finish with a conclusion that is conditional on the evidence rather than absolute.

  1. 1

    Uses lower transmission loss as evidence for the 6.0 kV option.

  2. 2

    Considers a relevant trade-off such as transformer cost, maintenance skills, insulation, or high-voltage safety.

  3. 3

    Gives a justified recommendation conditional on reliable protection, training, and lifecycle cost.

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