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If a 6Ω resistor is connected in parallel with a 3Ω resistor, what is the equiva
If a 6Ω resistor is connected in parallel with a 3Ω resistor, what is the equivalent resistance? (2023)
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If a 6Ω resistor is connected in parallel with a 3Ω resistor, what is the equivalent resistance? (2023)
2Ω
1.5Ω
4Ω
9Ω
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Using the formula 1/R_eq = 1/R1 + 1/R2, we get 1/R_eq = 1/6 + 1/3 = 1/6 + 2/6 = 3/6, thus R_eq = 2Ω.
Questions & Step-by-step Solutions
1 item
Q
Q: If a 6Ω resistor is connected in parallel with a 3Ω resistor, what is the equivalent resistance? (2023)
Solution:
Using the formula 1/R_eq = 1/R1 + 1/R2, we get 1/R_eq = 1/6 + 1/3 = 1/6 + 2/6 = 3/6, thus R_eq = 2Ω.
Steps: 7
Show Steps
Step 1: Identify the resistors in parallel. We have a 6Ω resistor (R1) and a 3Ω resistor (R2).
Step 2: Write down the formula for equivalent resistance 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 is the same as 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. This means R_eq = 6/3.
Step 7: Simplify 6/3 to get R_eq = 2Ω.
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