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Ch. 29 - Electromagnetic Induction and Faraday's Law
Giancoli Douglas - Physics for Scientists and Engineers 5th edition
Giancoli Douglas5th editionPhysics for Scientists and EngineersISBN: 9780137488179당신이 사용하는 게 아니라요?교과서 변경
모든 교과서Giancoli Douglas 5th editionCh. 29 - Electromagnetic Induction and Faraday's Law문제 52
28장, 문제 52

(II) For the electric power transmission system shown in Fig. 29–26, what is the ratio Ns/Np for (a) the step-up transformer, (b) the step-down transformer next to the home?

검증된 단계별 안내
1
Understand the problem: The question involves determining the ratio of turns (Nₛ/Nₚ) for two transformers in an electric power transmission system. Transformers work based on the principle of electromagnetic induction, where the ratio of the secondary voltage (Vₛ) to the primary voltage (Vₚ) is equal to the ratio of the number of turns in the secondary coil (Nₛ) to the number of turns in the primary coil (Nₚ). This can be expressed as: NsNp = VsVp.
For part (a), the step-up transformer increases the voltage from the power plant to the high-voltage transmission lines. Identify the primary voltage (Vₚ) and the secondary voltage (Vₛ) from the problem or figure. Use the formula: NsNp = VsVp. Substitute the given values for Vₛ and Vₚ to find the ratio Nₛ/Nₚ for the step-up transformer.
For part (b), the step-down transformer reduces the voltage from the transmission lines to a lower voltage suitable for home use. Again, identify the primary voltage (Vₚ) and the secondary voltage (Vₛ) from the problem or figure. Use the same formula: NsNp = VsVp. Substitute the given values for Vₛ and Vₚ to find the ratio Nₛ/Nₚ for the step-down transformer.
Verify the units and ensure that the voltages are consistent (e.g., both in volts). If necessary, convert the units to match before substituting into the formula.
Summarize the results: The calculated ratios Nₛ/Nₚ for both the step-up and step-down transformers provide the required information about the number of turns in the secondary and primary coils for each transformer. These ratios are crucial for understanding how the transformers adjust voltage levels in the power transmission system.

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이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
5m

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Transformers

Transformers are electrical devices that transfer electrical energy between two or more circuits through electromagnetic induction. They consist of primary and secondary coils, where the voltage is increased (step-up transformer) or decreased (step-down transformer) based on the turns ratio of the coils. This principle is crucial for efficient power transmission over long distances.
추천 영상:
가이드 코스
03:00
Transformers

Turns Ratio

The turns ratio of a transformer is the ratio of the number of turns in the primary coil (Nₚ) to the number of turns in the secondary coil (Nₛ). This ratio determines how the voltage changes between the primary and secondary sides. For a step-up transformer, Nₛ/Nₚ is greater than 1, while for a step-down transformer, it is less than 1.
추천 영상:
가이드 코스
05:32
Ratio of energies of cylinder on surface

Voltage and Power Relationships

In transformers, the relationship between voltage and power is governed by the equation P₁ = P₂, where P represents power. This means that the power input to the primary coil equals the power output from the secondary coil, assuming no losses. Consequently, the voltage and current are inversely related, allowing for efficient energy transfer while maintaining power conservation.
추천 영상:
가이드 코스
06:00
Power
관련 실천
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