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If a 6Ω and a 3Ω resistor are connected in parallel, what is the equivalent resi
If a 6Ω and a 3Ω resistor are connected in parallel, what is the equivalent resistance? (2022)
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If a 6Ω and a 3Ω resistor are connected in parallel, what is the equivalent resistance? (2022)
2Ω
4Ω
1.5Ω
9Ω
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Using the formula for parallel resistors: 1/R_eq = 1/R1 + 1/R2 = 1/6 + 1/3 = 1/6 + 2/6 = 3/6. Therefore, R_eq = 2Ω.
Questions & Step-by-step Solutions
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Q
Q: If a 6Ω and a 3Ω resistor are connected in parallel, what is the equivalent resistance? (2022)
Solution:
Using the formula for parallel resistors: 1/R_eq = 1/R1 + 1/R2 = 1/6 + 1/3 = 1/6 + 2/6 = 3/6. Therefore, R_eq = 2Ω.
Steps: 6
Show Steps
Step 1: Identify the resistors. We have a 6Ω resistor (R1) and a 3Ω resistor (R2).
Step 2: Write down the formula for calculating equivalent resistance (R_eq) for resistors in parallel: 1/R_eq = 1/R1 + 1/R2.
Step 3: Substitute the values of R1 and R2 into the formula: 1/R_eq = 1/6 + 1/3.
Step 4: Convert 1/3 to have a common denominator with 1/6. 1/3 = 2/6.
Step 5: Now add the fractions: 1/6 + 2/6 = 3/6.
Step 6: To find R_eq, take the reciprocal of 3/6: R_eq = 6/3 = 2Ω.
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