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The reason why the resistance of the fuse is large is as follows:
When the material and shape of the fuse are determined, its resistance R is relatively determined (if its resistance temperature coefficient is not considered). When current flows through it, it heats up, which increases over time.
The size of the current and resistance determines the speed of heat generation, and the structure of the fuse and its installation condition determine the speed of heat dissipation. If the speed of heat generation is lower than the speed of heat dissipation, the fuse will not blow. If the speed of heat generation is equal to the speed of heat dissipation, it will not fuse for a long time. If the rate of heat generation is greater than the rate of heat dissipation, more and more heat will be generated.
And because it has a certain specific heat and mass, the increase of its heat is manifested in the rise of temperature. When the temperature rises above the melting point of the fuse, the fuse will blow. This is why the fuse R has to be large.