What is the total resistance of two resistors of 5 ohms and 10 ohms connected in

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Question: What is the total resistance of two resistors of 5 ohms and 10 ohms connected in parallel?

Options:

Correct Answer: 3.33 ohms

Solution:

1/R_eq = 1/5 + 1/10 => R_eq = 3.33 ohms.

What is the total resistance of two resistors of 5 ohms and 10 ohms connected in parallel?

What is the total resistance of two resistors of 5 ohms and 10 ohms connected in parallel?

Correct Answer: 3.33 ohms

Step 1: Identify the values of the resistors. We have one resistor of 5 ohms and another of 10 ohms.
Step 2: Use the formula for total resistance in parallel: 1/R_eq = 1/R1 + 1/R2.
Step 3: Substitute the values into the formula: 1/R_eq = 1/5 + 1/10.
Step 4: Calculate 1/5, which is 0.2, and 1/10, which is 0.1.
Step 5: Add the two results together: 0.2 + 0.1 = 0.3.
Step 6: To find R_eq, take the reciprocal of 0.3: R_eq = 1/0.3.
Step 7: Calculate 1/0.3, which equals approximately 3.33 ohms.

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