Interestingly, once you have selected the resistor for your circuit, the speed of charges actually changes within the resistor... but which way?
Within a resistor itself, the speed of the charges increases. This sounds counter-intuitive as we understand that a resistor reduces the current of the overall circuit.
Think of charges as being like water flowing in a pipe. The same volume of water needs to get past each point in the pipe at exactly the same rate or you would end up with a leak or suction. If you compress a section of the pipe (like squeezing the end of a hose), the speed of the water increases in order to make up for the reduced cross-sectional area!
Note that resistance is not a rate of change. It is merely a ratio of voltage to current. Therefore, it is not obtained using the gradient of a graph - just using the coordinates.
Conductors contain free that enable charge to flow. The of the material form a lattice which gets in the way of the providing to the flow of charge. When the collide with the lattice they lose causing the atoms to vibrate. The increased KE of the atoms result in a rise in .
The increased vibration of the lattice means there are more collisions with the so resulting in an in resistance.
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