What is the equivalent resistance of a 10Ω and a 5Ω resistor connected in parall

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Question: What is the equivalent resistance of a 10Ω and a 5Ω resistor connected in parallel?

Options:

Correct Answer: 3.33Ω

Solution:

R_eq = 1/(1/10 + 1/5) = 3.33Ω.

What is the equivalent resistance of a 10Ω and a 5Ω resistor connected in parallel?

What is the equivalent resistance of a 10Ω and a 5Ω resistor connected in parallel?

Step 1: Identify the resistors. We have a 10Ω resistor and a 5Ω resistor.
Step 2: Use the formula for equivalent resistance in parallel: R_eq = 1 / (1/R1 + 1/R2).
Step 3: Substitute the values into the formula: R_eq = 1 / (1/10 + 1/5).
Step 4: Calculate 1/10, which is 0.1.
Step 5: Calculate 1/5, which is 0.2.
Step 6: Add the two results: 0.1 + 0.2 = 0.3.
Step 7: Take the reciprocal of 0.3 to find R_eq: R_eq = 1 / 0.3.
Step 8: Calculate 1 / 0.3, which is approximately 3.33Ω.

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