In a parallel circuit with three resistors of values 6 ohms, 3 ohms, and 2 ohms, what is the equivalent resistance?

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1.5 ohms
2 ohms
2.5 ohms
3 ohms

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Q: In a parallel circuit with three resistors of values 6 ohms, 3 ohms, and 2 ohms, what is the equivalent resistance?

Solution: The formula for equivalent resistance in parallel is 1/R_eq = 1/R1 + 1/R2 + 1/R3. Thus, 1/R_eq = 1/6 + 1/3 + 1/2 = 1/6 + 2/6 + 3/6 = 6/6 = 1, so R_eq = 1 ohm.

Steps: 8

Step 1: Identify the values of the resistors in the parallel circuit. We have R1 = 6 ohms, R2 = 3 ohms, and R3 = 2 ohms.
Step 2: Write down the formula for equivalent resistance in a parallel circuit: 1/R_eq = 1/R1 + 1/R2 + 1/R3.
Step 3: Substitute the values of the resistors into the formula: 1/R_eq = 1/6 + 1/3 + 1/2.
Step 4: Convert each fraction to have a common denominator. The common denominator for 6, 3, and 2 is 6.
Step 5: Rewrite the fractions: 1/6 remains 1/6, 1/3 becomes 2/6, and 1/2 becomes 3/6.
Step 6: Add the fractions together: 1/6 + 2/6 + 3/6 = 6/6.
Step 7: Simplify the result: 6/6 = 1.
Step 8: Since 1/R_eq = 1, we find that R_eq = 1 ohm.

In a parallel circuit with three resistors of values 6 ohms, 3 ohms, and 2 ohms, what is the equivalent resistance?

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