Answered

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_7. What happens to the total resistance of the resistors if they are connected inparallel? A. increases C. decreases B. remains the same D. increases then decreases

Sagot :

In order to find what happens to the total resistance when resistors are connected in parallel, let's analyze the formula below for the total resistance between two resistors in parallel:

[tex]\begin{gathered} \frac{1}{RT}=\frac{1}{R_1}+\frac{1}{R_2}\\ \\ RT=\frac{R_1R_2}{R_1+R_2} \end{gathered}[/tex]

When two resistors are in parallel, they have the same voltage.

That means more current will flow, because there will be current flowing from each resistor and the voltage is the same.

Calculating the total resistance, we will find a smaller resistance than the two resistors used, because with the same voltage, the current is greater.

Therefore the correct option is C.

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