What is the equivalent resistance of two resistors of 5Ω and 10Ω connected in pa

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Question: What is the equivalent resistance of two resistors of 5Ω and 10Ω connected in parallel?

Options:

Correct Answer: 3.33Ω

Solution:

1/Req = 1/R1 + 1/R2 = 1/5 + 1/10 = 2/10 + 1/10 = 3/10. Therefore, Req = 10/3 = 3.33Ω.

What is the equivalent resistance of two resistors of 5Ω and 10Ω connected in parallel?

What is the equivalent resistance of two resistors of 5Ω and 10Ω connected in parallel?

Step 1: Identify the values of the resistors. We have R1 = 5Ω and R2 = 10Ω.
Step 2: Use the formula for equivalent resistance in parallel: 1/Req = 1/R1 + 1/R2.
Step 3: Substitute the values into the formula: 1/Req = 1/5 + 1/10.
Step 4: Find a common denominator to add the fractions. The common denominator for 5 and 10 is 10.
Step 5: Rewrite 1/5 as 2/10. Now we have: 1/Req = 2/10 + 1/10.
Step 6: Add the fractions: 1/Req = 3/10.
Step 7: To find Req, take the reciprocal of both sides: Req = 10/3.
Step 8: Calculate 10/3 to get the final answer: Req = 3.33Ω.

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