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Regard as three resistors having three unique values of resistance. Presume the resistors are connected in series with each other. Additional suppose that the series combination of the three resistors is connected in a circuit such that at least some charge is flowing through each of the resistors. Which of the subsequent statements is true?
Answer:
If the resistors are in sequence a charged particle that works its way through one of the resistors has no choice but to go through the next resistor and from there it has no choice but to go through the third resistor. As the electric field shove charge through the first resistor in line, the exact same amount of charge has to be pushed through the second resistor. Or else charge would pile up in between the two resistors in contradiction to all observations. Along with as the electric field pushes that charge through the second resistor the exact same amount of charge must be pushed through the third. Consequently for any amount of charge going through the first resistor the exact same amount of charge goes through the second and third resistors. Therefore for any amount of charge-per-second going through the first resistor there is the same amount of charge-per-second going through the second resistor and the third resistor. That is to articulate that the current is the same in all three resistors.
Putting resistors in sequence has an additive effect on the overall resistance to the flow of charge. The charge run in a circuit is restricted if in travelling through the circuit charge is forced to work its way through a resistor. If having made its manner through one resistor the charge has no choice but to work its way through a second resistor as is the case for two resistors in series then that second resistor further restricts the flow of charge. And if having made its manner through two resistors one after another the charge has no choice but to work its way through a third resistor as is the case for three resistors in series then that third resistor further restricts the flow of charge. The additional the flow of charge is restricted the greater the overall resistance so the resistance of three resistors in series is greater than the resistance of any one of the resistors by itself. The total resistance is in reality the sum of the three individual resistances.
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