Why are larger transformers more efficient than smaller ones?

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Larger transformers exhibit higher efficiency compared to smaller ones primarily due to reduced relative losses from hysteresis and eddy currents, which are more pronounced in smaller units. The cube-square ratio indicates that as transformers increase in size, their volume grows faster than their surface area, leading to lower losses per unit of output. Scaling up a transformer involves increasing its core size and winding area, which enhances its ability to handle larger currents with less heat generation. The operational principles remain the same, but larger transformers benefit from improved magnetic flux management and reduced resistance losses. Understanding these factors is crucial for optimizing transformer design and efficiency.
Alexander Max
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Homework Statement


Transformer efficiency loss

Homework Equations


Larger transformers are more efficient than smaller

The Attempt at a Solution


I understand the basics of energy loss through heat etc but i don't understand why it would be different for the sizes of transformers. Is it to do with hysteresis and eddy currents? If so how do they have an effect?
 
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Can you give a more complete description of the question to be answered?

Can you think of something a small transformer has relatively more of than a large transformer? Hint: Cube-square ratio.
 
Why would the transfromer need to be larger?
What would it physically involve if it is scaled up?
How does a transformer operate?
How would this mechanism be affected by scaling it up?
Can you suggest any involved equations?
 

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