What is the equivalent resistance of two resistors of 4Ω and 12Ω connected in pa

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

Options:

Correct Answer: 6Ω

Solution:

Using the formula for parallel resistors, 1/R_eq = 1/R1 + 1/R2 = 1/4 + 1/12 = 1/3. Therefore, R_eq = 3Ω.

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

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

Correct Answer: 3Ω

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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