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3.1 What is the purpose of a transformer? The purpose of a transformer is to transfer electrical energy between two or more circuits through electromagnetic induction - NSC Electrical Technology Electronics - Question 3 - 2017 - Paper 1

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3.1 What is the purpose of a transformer? The purpose of a transformer is to transfer electrical energy between two or more circuits through electromagnetic inducti... show full transcript

Worked Solution & Example Answer:3.1 What is the purpose of a transformer? The purpose of a transformer is to transfer electrical energy between two or more circuits through electromagnetic induction - NSC Electrical Technology Electronics - Question 3 - 2017 - Paper 1

Step 1

3.6.1 Secondary line current

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Answer

To calculate the secondary line current ( ILI_L), we use the formula:

IL=S3VLI_L = \frac{S}{\sqrt{3} V_{L}}

Substituting the values:

IL=1200003×380182.32AI_L = \frac{120000}{\sqrt{3} \times 380} \approx 182.32 \, A

Step 2

3.6.2 Secondary phase current

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Answer

The secondary phase current ( I2I_2) is equal to the secondary line current:

I2=IL182.32AI_2 = I_L \approx 182.32 \, A

Step 3

3.6.3 Input power to the clinic

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Answer

The input power (P) can be calculated using the formula:

P=3VLILcosθP = \sqrt{3} V_{L} I_L \cos \theta

where,

  • VL=380VV_{L} = 380 \, V
  • IL=182.32AI_L = 182.32 \, A
  • extpowerfactor=0.9 ext{power factor} = 0.9

Substituting the values, we approximate:

P=3×380×182.32×0.9107999.32WP = \sqrt{3} \times 380 \times 182.32 \times 0.9 \approx 107999.32 \, W

Thus, the input power to the clinic is approximately 108 kW.

Step 4

3.7 Explain why the secondary winding of a step-down transformer has a thicker wire.

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Answer

The secondary winding of a step-down transformer requires a thicker wire to handle the higher current that results from the lower voltage. A thicker wire reduces resistive losses due to its larger cross-sectional area, enabling it to efficiently carry higher currents without overheating and ensures the integrity and longevity of the transformer.

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