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In a circuit with a 6Ω and a 3Ω resistor in parallel, what is the equivalent res
In a circuit with a 6Ω and a 3Ω resistor in parallel, what is the equivalent resistance?
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Practice Questions
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Q1
In a circuit with a 6Ω and a 3Ω resistor in parallel, what is the equivalent resistance?
2Ω
4Ω
1.5Ω
9Ω
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Using the formula for parallel resistors, 1/R_eq = 1/6 + 1/3 = 1/2, R_eq = 2Ω.
Questions & Step-by-step Solutions
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Q
Q: In a circuit with a 6Ω and a 3Ω resistor in parallel, what is the equivalent resistance?
Solution:
Using the formula for parallel resistors, 1/R_eq = 1/6 + 1/3 = 1/2, R_eq = 2Ω.
Steps: 8
Show Steps
Step 1: Identify the resistors in the circuit. We have a 6Ω resistor and a 3Ω resistor.
Step 2: Use 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 the resistors into the formula: 1/R_eq = 1/6 + 1/3.
Step 4: Find a common denominator to add the fractions. The common denominator for 6 and 3 is 6.
Step 5: Rewrite 1/3 as 2/6 so that both fractions have the same denominator: 1/R_eq = 1/6 + 2/6.
Step 6: Add the fractions: 1/R_eq = (1 + 2)/6 = 3/6.
Step 7: Simplify 3/6 to 1/2: 1/R_eq = 1/2.
Step 8: To find R_eq, take the reciprocal of 1/2: R_eq = 2Ω.
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