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This question is about using the mains electricity supply - Edexcel - GCSE Physics Combined Science - Question 3 - 2021 - Paper 1

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This question is about using the mains electricity supply. (a) (i) An electric kettle is used to boil some water. The mains supply voltage is 230 V. The power suppl... show full transcript

Worked Solution & Example Answer:This question is about using the mains electricity supply - Edexcel - GCSE Physics Combined Science - Question 3 - 2021 - Paper 1

Step 1

Calculate the current in the kettle.

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Answer

We start with the equation for current:

I=PVI = \frac{P}{V}

Substituting the given values:

I=1.9×103 W230 VI = \frac{1.9 \times 10^3 \text{ W}}{230 \text{ V}}

Calculating this gives:

I8.26 AI \approx 8.26 \text{ A}

Thus, the current supplied to the kettle is approximately 8.26 A.

Step 2

Calculate the energy transferred to the coffee machine in 120 s.

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Answer

Using the formula for energy:

E=V×I×tE = V \times I \times t

Substituting the known values:

E=230 V×7.4 A×120extsE = 230 \text{ V} \times 7.4 \text{ A} \times 120 ext{ s}

Calculating this gives:

E=204240extJE = 204240 ext{ J}

Therefore, the energy transferred to the coffee machine is 204240 J.

Step 3

State the name of wire X and the name of wire Y.

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Answer

Wire X = earth Wire Y = live

Step 4

State the name of component Z.

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Answer

Component Z = fuse

Step 5

Calculate the input current to the transformer.

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Answer

Using the rearranged formula:

Ip=(Vo×Io)ViI_p = \frac{(V_o \times I_{o})}{V_{i}}

Substituting in the given values:

Ip=(190 V×2.37extA)230extVI_p = \frac{(190 \text{ V} \times 2.37 ext{ A})}{230 ext{ V}}

This simplifies to:

Ip0.196extAI_p \approx 0.196 ext{ A}

Thus, the input current to the transformer is approximately 0.196 A.

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