What is the total resistance of two resistors of 5 ohms and 10 ohms connected in parallel?
Correct Answer: 3.33 ohms
- Step 1: Identify the values of the resistors. We have one resistor of 5 ohms and another of 10 ohms.
- Step 2: Use the formula for total resistance in parallel: 1/R_eq = 1/R1 + 1/R2.
- Step 3: Substitute the values into the formula: 1/R_eq = 1/5 + 1/10.
- Step 4: Calculate 1/5, which is 0.2, and 1/10, which is 0.1.
- Step 5: Add the two results together: 0.2 + 0.1 = 0.3.
- Step 6: To find R_eq, take the reciprocal of 0.3: R_eq = 1/0.3.
- Step 7: Calculate 1/0.3, which equals approximately 3.33 ohms.
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