05holtel said:The Attempt at a Solution
I am not sure how to relate the area to change in area
lightgrav said:they call one dimension a "diameter" , which becomes half
... how does the new Area compare to the old Area ?
(it's not about _change_ , it is about new = "some number" times old)
Resistance is a measure of how much a material opposes the flow of electric current. It is measured in ohms (Ω) and is represented by the symbol R.
The resistance of a piece of metal is determined by its dimensions, temperature, and the material it is made of. Different metals have different levels of resistance, with some being more conductive than others.
The resistance of a piece of metal is affected by its length, cross-sectional area, temperature, and the type of material it is made of. As the length of the metal increases, the resistance also increases. A larger cross-sectional area results in lower resistance, and an increase in temperature leads to an increase in resistance.
As the temperature of a piece of metal increases, its resistance also increases. This is because as the temperature rises, the atoms in the metal vibrate more, making it harder for electrons to flow through the material, thus increasing its resistance.
The resistance of a piece of metal is useful in everyday life for a variety of reasons. It is used in circuitry to control the flow of electricity and prevent damage to devices. It is also used in heating elements, such as in electric stoves and toasters, where the resistance of the metal converts electrical energy into heat energy. Additionally, the resistance of a metal is used in sensors and meters to measure and monitor various aspects of our environment.