If two resistors of 4Ω and 6Ω are connected in parallel, what is the equivalent

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Question: If two resistors of 4Ω and 6Ω are connected in parallel, what is the equivalent resistance? (2022)

Options:

Correct Answer: 2.4Ω

Exam Year: 2022

Solution:

Using the formula for parallel resistors, 1/R_eq = 1/R1 + 1/R2 = 1/4 + 1/6 = 5/12, R_eq = 12/5 = 2.4Ω.

If two resistors of 4Ω and 6Ω are connected in parallel, what is the equivalent resistance? (2022)

If two resistors of 4Ω and 6Ω are connected in parallel, what is the equivalent resistance? (2022)

Step 1: Identify the resistors. We have two resistors: R1 = 4Ω and R2 = 6Ω.
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 + 1/6.
Step 4: Find a common denominator to add the fractions. The common denominator for 4 and 6 is 12.
Step 5: Rewrite the fractions with the common denominator: 1/4 = 3/12 and 1/6 = 2/12.
Step 6: Add the fractions: 1/R_eq = 3/12 + 2/12 = 5/12.
Step 7: To find R_eq, take the reciprocal of 5/12: R_eq = 12/5.
Step 8: Calculate 12/5 to get the final answer: R_eq = 2.4Ω.

Parallel Resistors – Understanding how to calculate the equivalent resistance of resistors connected in parallel using the formula 1/R_eq = 1/R1 + 1/R2.