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. What is the resistance of three identical resistors in a parallel circuit which produces a total resistance of 200 ohms

Sagot :

BrotherGokuidn

Answer:

66.7ohms

Step-by-step explanation:

Resistance in a Parallel Circuit

When resistors are set up in a parallel fashion, you can find the total resistance by applying the formula

[tex]\frac{1}{R_t}=\frac{1}{R_1}+\frac{1}{R_2}...+\frac{1}{R_x}[/tex]

Where Rt is the total resistance, and the the Rs are the different resistors present in the circuit. Since the three resistors present are identical, all the Rs will be 200 ohms.

1/Rt = 3(1/R) = 3(1/200)

1/Rt = 3/200

Now since the value is equals to 1/Rt, inverse everything.

Rt = 200/3 = 66.7 ohms

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