If a 10Ω resistor is connected in parallel with a 5Ω resistor, what is the total

₹0.0

Question: If a 10Ω resistor is connected in parallel with a 5Ω resistor, what is the total resistance? (2022)

Options:

Correct Answer: 3.33Ω

Exam Year: 2022

Solution:

For resistors in parallel, 1/R_eq = 1/R1 + 1/R2 = 1/10 + 1/5 = 1/10 + 2/10 = 3/10. Therefore, R_eq = 10/3 = 3.33Ω.

If a 10Ω resistor is connected in parallel with a 5Ω resistor, what is the total resistance? (2022)

If a 10Ω resistor is connected in parallel with a 5Ω resistor, what is the total resistance? (2022)

Step 1: Identify the resistors in parallel. We have a 10Ω resistor (R1) and a 5Ω resistor (R2).
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 = 1/10 + 1/5.
Step 4: Convert 1/5 to a fraction with a common denominator: 1/5 = 2/10.
Step 5: Now add the fractions: 1/10 + 2/10 = 3/10.
Step 6: To find R_eq, take the reciprocal of 3/10: R_eq = 10/3.
Step 7: Calculate 10/3 to get the final answer: R_eq = 3.33Ω.

Resistors in Parallel – Understanding how to calculate equivalent resistance for resistors connected in parallel using the formula 1/R_eq = 1/R1 + 1/R2.