What is the equivalent resistance of a 6Ω and a 3Ω resistor connected in paralle

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Question: What is the equivalent resistance of a 6Ω and a 3Ω resistor connected in parallel?

Options:

Correct Answer: 4Ω

Solution:

R_eq = 1/(1/6 + 1/3) = 2Ω.

What is the equivalent resistance of a 6Ω and a 3Ω resistor connected in parallel?

What is the equivalent resistance of a 6Ω and a 3Ω resistor connected in parallel?

Step 1: Identify the resistors. We have a 6Ω resistor and a 3Ω resistor.
Step 2: Write the formula for equivalent resistance (R_eq) for resistors in parallel: R_eq = 1 / (1/R1 + 1/R2).
Step 3: Substitute the values of the resistors into the formula: R_eq = 1 / (1/6 + 1/3).
Step 4: Calculate 1/6, which is approximately 0.1667.
Step 5: Calculate 1/3, which is approximately 0.3333.
Step 6: Add the two results together: 0.1667 + 0.3333 = 0.5.
Step 7: Take the reciprocal of the sum: R_eq = 1 / 0.5.
Step 8: Calculate the final result: R_eq = 2Ω.

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