What is the equivalent resistance of two resistors of 4Ω and 12Ω in parallel? (2

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Question: What is the equivalent resistance of two resistors of 4Ω and 12Ω in parallel? (2022)

Options:

Correct Answer: 3Ω

Solution:

Using the formula 1/R_eq = 1/R1 + 1/R2, we get 1/R_eq = 1/4 + 1/12 = 1/3, so R_eq = 3Ω.

What is the equivalent resistance of two resistors of 4Ω and 12Ω in parallel? (2022)

What is the equivalent resistance of two resistors of 4Ω and 12Ω in parallel? (2022)

Step 1: Identify the values of the resistors. We have R1 = 4Ω and R2 = 12Ω.
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 = 1/4 + 1/12.
Step 4: Find a common denominator to add the fractions. The common denominator for 4 and 12 is 12.
Step 5: Rewrite 1/4 as 3/12, so now we have: 1/R_eq = 3/12 + 1/12.
Step 6: Add the fractions: 1/R_eq = (3 + 1)/12 = 4/12.
Step 7: Simplify 4/12 to 1/3, so we have: 1/R_eq = 1/3.
Step 8: To find R_eq, take the reciprocal of 1/3: R_eq = 3Ω.

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