What is the equivalent resistance of two resistors in parallel, R1 = 4 ohms and

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Question: What is the equivalent resistance of two resistors in parallel, R1 = 4 ohms and R2 = 6 ohms?

Options:

Correct Answer: 2.4 ohms

Solution:

The equivalent resistance for resistors in parallel is given by 1/R_eq = 1/R1 + 1/R2, which results in R_eq = 2.4 ohms.

What is the equivalent resistance of two resistors in parallel, R1 = 4 ohms and R2 = 6 ohms?

What is the equivalent resistance of two resistors in parallel, R1 = 4 ohms and R2 = 6 ohms?

Step 1: Identify the values of the resistors. Here, R1 = 4 ohms and R2 = 6 ohms.
Step 2: Use the formula for equivalent resistance in parallel: 1/R_eq = 1/R1 + 1/R2.
Step 3: Substitute the values into the formula: 1/R_eq = 1/4 + 1/6.
Step 4: Find a common denominator for the fractions. The common denominator for 4 and 6 is 12.
Step 5: Rewrite the fractions: 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: Invert the fraction to find R_eq: R_eq = 12/5.
Step 8: Calculate 12/5, which equals 2.4 ohms.

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