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What is the equivalent resistance of two resistors of 4Ω and 12Ω connected in pa
What is the equivalent resistance of two resistors of 4Ω and 12Ω connected in parallel?
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Practice Questions
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Q1
What is the equivalent resistance of two resistors of 4Ω and 12Ω connected in parallel?
3Ω
4Ω
6Ω
8Ω
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Using the formula for parallel resistors, 1/R_eq = 1/R1 + 1/R2 = 1/4 + 1/12 = 1/3. Therefore, R_eq = 3Ω.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the equivalent resistance of two resistors of 4Ω and 12Ω connected in parallel?
Solution:
Using the formula for parallel resistors, 1/R_eq = 1/R1 + 1/R2 = 1/4 + 1/12 = 1/3. Therefore, R_eq = 3Ω.
Steps: 8
Show Steps
Step 1: Identify the resistors. We have two resistors: R1 = 4Ω and R2 = 12Ω.
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 = 1/4 + 1/12.
Step 4: Find a common denominator to add the fractions. The common denominator for 4 and 12 is 12.
Step 5: Convert 1/4 to have a denominator of 12: 1/4 = 3/12.
Step 6: Now add the fractions: 1/R_eq = 3/12 + 1/12 = 4/12.
Step 7: Simplify 4/12 to 1/3: 1/R_eq = 1/3.
Step 8: To find R_eq, take the reciprocal of 1/3: R_eq = 3Ω.
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