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Question: A parallel circuit has 3 resistors of 9 ohms each. What is the resistance?
In a parallel circuit, the total resistance (R_total) is found using the formula 1/R_total = 1/R_1 + 1/R_2 + 1/R_3... and so on for all resistors. For your specific example, each of your three resistors has a resistance of 9 ohms. You can substitute these values into the formula, resulting in: 1/R_total = 1/9 + 1/9 + 1/9. Adding these fractions together: 1/R_total = 3/9 or 1/3. To find R_total, take the reciprocal of this answer: R_total = 1 / (1/3) = 3 ohms. So, the total resistance of your parallel circuit with three 9-ohm resistors is 3 ohms.
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