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What is the equivalent resistance of two resistors of 5 ohms and 10 ohms connect
What is the equivalent resistance of two resistors of 5 ohms and 10 ohms connected in parallel?
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Practice Questions
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Q1
What is the equivalent resistance of two resistors of 5 ohms and 10 ohms connected in parallel?
3.33 ohms
15 ohms
5 ohms
7.5 ohms
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Using the formula for resistors in parallel, 1/R_eq = 1/R1 + 1/R2, we find R_eq = 1 / (1/5 + 1/10) = 3.33 ohms.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the equivalent resistance of two resistors of 5 ohms and 10 ohms connected in parallel?
Solution:
Using the formula for resistors in parallel, 1/R_eq = 1/R1 + 1/R2, we find R_eq = 1 / (1/5 + 1/10) = 3.33 ohms.
Steps: 7
Show Steps
Step 1: Identify the values of the resistors. We have R1 = 5 ohms and R2 = 10 ohms.
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 = 1/5 + 1/10.
Step 4: Calculate 1/5 and 1/10. 1/5 = 0.2 and 1/10 = 0.1.
Step 5: Add the two results together: 0.2 + 0.1 = 0.3.
Step 6: Now, take the reciprocal to find R_eq: R_eq = 1 / 0.3.
Step 7: Calculate 1 / 0.3, which equals approximately 3.33 ohms.
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