Considering the definition of total resistance and resistors in series, the correct answer is option a): the total resistance if you have a two 50 ohm resistors connected in series is 100 ohm.
The resulting or equivalent resistance is called the value of the resistance that is obtained by associating a set of them.
The resistors can be associated in series, parallel or a combination of both called mixed.
A set of series connected resistors is said to have the same current flowing through them, therefore the amount of current flowing will be the same at all connection points. That is, the resistors are in series when they are directly connected to each other in a circuit so that the current through each of them is the same.
By having resistors connected in series it is possible to calculate a total or equivalent resistance of the circuit. To calculate the resistance of a series of resistors in series, you only have to add the resistances of the individual resistors.
In this case, you have a two 50 ohm resistors connected in series. So, the total resistance can be calculated as:
Total resistance= 50 ohm + 50 ohm
Total resistance= 100 ohm
Finally, the correct answer is option a): the total resistance if you have a two 50 ohm resistors connected in series is 100 ohm.
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