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If you put one end of a battery at A and the other end at B, current will flow not just across the 2ohm resistor you speak of but all the other resistors aswell.HallsofIvy said:Am I missing something? It looks to me like the picture says that the resistance across AB is 2 ohms. The rest of the circuit is irrelevant.
doodle has the answer. There is no easier way. There is no end to the chain of resistors, and if you think about how the current will flow you will realize that each 2-ohm resistor will have less current than the previous 2-ohm resistor. If you removed all the resistors touching points A and B, you would have exactly the same net resistance you have with them there.lingling said:I still cannot understand.
Is there any simpler approach?
A resistor network is a circuit made up of multiple resistors connected in a specific pattern. It is used to control the flow of electric current and can be found in various electronic devices.
Finding the equivalent resistance across AB allows us to simplify the circuit and calculate the overall resistance of the network. This is crucial in understanding the behavior of the circuit and making accurate predictions.
The equivalent resistance across AB is calculated using the parallel and series resistance formulas, depending on the arrangement of the resistors in the network. The parallel formula is used for resistors connected side by side, while the series formula is used for resistors connected end to end.
The equivalent resistance of a resistor network is affected by the number and arrangement of resistors, as well as the values of each resistor. Changing any of these factors will result in a different equivalent resistance.
Resistor networks are used in a wide range of electronic devices, such as computers, televisions, and cell phones. They are also used in electrical systems to regulate current flow and protect components from damage.