If a 15Ω resistor is connected in parallel with a 30Ω resistor, what is the equi

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Question: If a 15Ω resistor is connected in parallel with a 30Ω resistor, what is the equivalent resistance? (2021)

Options:

Correct Answer: 7.5Ω

Exam Year: 2021

Solution:

For resistors in parallel, 1/R_eq = 1/R1 + 1/R2 = 1/15 + 1/30 = 2/30 + 1/30 = 3/30. Therefore, R_eq = 30/3 = 10Ω.

If a 15Ω resistor is connected in parallel with a 30Ω resistor, what is the equivalent resistance? (2021)

If a 15Ω resistor is connected in parallel with a 30Ω resistor, what is the equivalent resistance? (2021)

Step 1: Identify the resistors in parallel. We have a 15Ω resistor (R1) and a 30Ω resistor (R2).
Step 2: Use the formula for equivalent resistance in parallel: 1/R_eq = 1/R1 + 1/R2.
Step 3: Substitute the values into the formula: 1/R_eq = 1/15 + 1/30.
Step 4: Find a common denominator for the fractions. The common denominator for 15 and 30 is 30.
Step 5: Rewrite the fractions: 1/15 becomes 2/30, so now we have 1/R_eq = 2/30 + 1/30.
Step 6: Add the fractions: 2/30 + 1/30 = 3/30.
Step 7: Now, we have 1/R_eq = 3/30. To find R_eq, take the reciprocal of both sides.
Step 8: R_eq = 30/3.
Step 9: Calculate 30/3 to find R_eq: R_eq = 10Ω.

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