Resistors of 10, 15, and 6 ohms are connected in parallel. What is the total resistance?

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Multiple Choice

Resistors of 10, 15, and 6 ohms are connected in parallel. What is the total resistance?

To determine the total resistance of resistors connected in parallel, the formula used is: 1 / R_total = 1 / R1 + 1 / R2 + 1 / R3 In this case, the resistors have values of 10 ohms, 15 ohms, and 6 ohms. Applying the formula, we first calculate the reciprocal of each resistance: 1. For the 10 ohm resistor: 1 / 10 = 0.1 2. For the 15 ohm resistor: 1 / 15 ≈ 0.0667 3. For the 6 ohm resistor: 1 / 6 ≈ 0.1667 Next, we sum these values: 0.1 + 0.0667 + 0.1667 ≈ 0.3334 Now, to find the total resistance, you take the reciprocal of this sum: R_total = 1 / 0.3334 ≈ 3 ohms Thus, the total resistance of the resistors connected in parallel is approximately 3 ohms. This aligns with the correct answer choice. The calculations show how the total resistance decreases when resistors are joined

To determine the total resistance of resistors connected in parallel, the formula used is:

1 / R_total = 1 / R1 + 1 / R2 + 1 / R3

In this case, the resistors have values of 10 ohms, 15 ohms, and 6 ohms. Applying the formula, we first calculate the reciprocal of each resistance:

  1. For the 10 ohm resistor: 1 / 10 = 0.1

  2. For the 15 ohm resistor: 1 / 15 ≈ 0.0667

  3. For the 6 ohm resistor: 1 / 6 ≈ 0.1667

Next, we sum these values:

0.1 + 0.0667 + 0.1667 ≈ 0.3334

Now, to find the total resistance, you take the reciprocal of this sum:

R_total = 1 / 0.3334 ≈ 3 ohms

Thus, the total resistance of the resistors connected in parallel is approximately 3 ohms. This aligns with the correct answer choice. The calculations show how the total resistance decreases when resistors are joined

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