If a 15Ω resistor is connected in parallel with a 5Ω resistor, what is the equiv

If a 15Ω resistor is connected in parallel with a 5Ω resistor, what is the equivalent resistance? (2023)

If a 15Ω resistor is connected in parallel with a 5Ω resistor, what is the equivalent resistance? (2023)

Step 1: Identify the resistors connected in parallel. We have a 15Ω resistor and a 5Ω resistor.
Step 2: Use the formula for equivalent resistance in parallel: 1/R_eq = 1/R1 + 1/R2.
Step 3: Substitute the values of the resistors into the formula: 1/R_eq = 1/15 + 1/5.
Step 4: Convert 1/5 to a fraction with a denominator of 15: 1/5 = 3/15.
Step 5: Now add the fractions: 1/R_eq = 1/15 + 3/15 = 4/15.
Step 6: To find R_eq, take the reciprocal of 4/15: R_eq = 15/4.
Step 7: Calculate 15/4 to get the final answer: R_eq = 3.75Ω.

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