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What is the total resistance of three 100-ohm resistors in parallel?

  1. 0.30 ohms

  2. 0.33 ohms

  3. 33.3 ohms

  4. 300 ohms

The correct answer is: 33.3 ohms

To find the total resistance of three resistors in parallel, you can use the formula for total resistance in a parallel circuit, which is given by: 1/R_total = 1/R1 + 1/R2 + 1/R3. In this case, each resistor has a resistance of 100 ohms. Plugging in the values, the equation becomes: 1/R_total = 1/100 + 1/100 + 1/100 = 3/100. To find R_total, you take the reciprocal of the result: R_total = 100/3 ≈ 33.33 ohms. Therefore, the total resistance of three 100-ohm resistors in parallel is approximately 33.3 ohms. This value represents how parallel resistors decrease the overall resistance of the circuit compared to individual resistors in series, which would have increased the total resistance.