In a circuit with two resistors in parallel, if one resistor is 4 ohms and the o

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Question: In a circuit with two resistors in parallel, if one resistor is 4 ohms and the other is 6 ohms, what is the equivalent resistance?

Options:

Correct Answer: 2.4 ohms

Solution:

Using the formula for resistors in parallel, 1/R_eq = 1/4 + 1/6, we find R_eq = 2.4 ohms.

In a circuit with two resistors in parallel, if one resistor is 4 ohms and the other is 6 ohms, what is the equivalent resistance?

In a circuit with two resistors in parallel, if one resistor is 4 ohms and the other is 6 ohms, what is the equivalent resistance?

Step 1: Identify the resistors in parallel. We have one resistor of 4 ohms and another of 6 ohms.
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 the resistors 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 with the common denominator: 1/4 = 3/12 and 1/6 = 2/12.
Step 6: Add the fractions together: 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, which equals 2.4 ohms.

Resistors in Parallel – The equivalent resistance of resistors in parallel is found using the formula 1/R_eq = 1/R1 + 1/R2.