prove there is an increase in the resistance. when 3 resistor are connected in series
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Let's forget about Electrons.
Surely in your house or in your society A big water tank supply water.
Now think that this Tank is full of water and by any reason it's need to be empty.
1 Single pipe which is 10 meter long and by 12 inch in diameter could make the tank full empty within 1 hour.
If we connect another pipe which specification will be same as the previous pipe, It will evacuate waters twice faster. So these two pipes together could evacuate water and make the tank full empty within 30 minutes.
Why?
Because if we connect two pipes parallel then the water will get more paths and face less resistance compared with one. But What if we connect two pipes in series?
Then the water has to flow through 10 meter + 10 meter. Now if the water takes 1hour to evacuate through 10 meter distance now it will take 2 hours, another 1hour for another 10 meters.
Now change the water as electrons, Currents as water flow speed, resistors as pipes, you will get the answer yourself.
Also remember for this reason any places which contains more people have multiple exit doors parallel in a room without having multiple doors at one exit area. If any mishap happens, maximum people could evacuate at less time.
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