What is the equivalent resistance of three resistors of 2Ω, 3Ω, and 5Ω connected

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Question: What is the equivalent resistance of three resistors of 2Ω, 3Ω, and 5Ω connected in parallel?

Options:

Correct Answer: 0.83Ω

Solution:

1/Req = 1/R1 + 1/R2 + 1/R3 = 1/2 + 1/3 + 1/5 = 0.8333, thus Req = 1.2Ω.

What is the equivalent resistance of three resistors of 2Ω, 3Ω, and 5Ω connected in parallel?

What is the equivalent resistance of three resistors of 2Ω, 3Ω, and 5Ω connected in parallel?

Correct Answer: 1.2Ω

Step 1: Identify the resistors and their values. We have three resistors: R1 = 2Ω, R2 = 3Ω, and R3 = 5Ω.
Step 2: Write the formula for equivalent resistance (Req) for resistors in parallel: 1/Req = 1/R1 + 1/R2 + 1/R3.
Step 3: Substitute the values of the resistors into the formula: 1/Req = 1/2 + 1/3 + 1/5.
Step 4: Calculate each term separately: 1/2 = 0.5, 1/3 ≈ 0.3333, and 1/5 = 0.2.
Step 5: Add the results together: 0.5 + 0.3333 + 0.2 = 1.0333.
Step 6: Take the reciprocal of the sum to find Req: Req = 1 / 1.0333 ≈ 0.9667Ω.
Step 7: Round the answer to two decimal places if needed: Req ≈ 0.97Ω.

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