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

Practice Questions

Q1
If a 5Ω resistor is connected in parallel with a 10Ω resistor, what is the equivalent resistance?
  1. 3.33Ω
  2. 7.5Ω
  3. 15Ω

Questions & Step-by-Step Solutions

If a 5Ω resistor is connected in parallel with a 10Ω resistor, what is the equivalent resistance?
  • Step 1: Identify the resistors in parallel. We have a 5Ω resistor and a 10Ω resistor.
  • Step 2: Use the formula for equivalent resistance (R_eq) for resistors in parallel: R_eq = 1 / (1/R1 + 1/R2).
  • Step 3: Substitute the values into the formula: R_eq = 1 / (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: 0.2 + 0.1 = 0.3.
  • Step 6: Take the reciprocal of 0.3 to find R_eq: R_eq = 1 / 0.3.
  • Step 7: Calculate 1 / 0.3, which equals approximately 3.33Ω.
  • Parallel Resistance Calculation – Understanding how to calculate the equivalent resistance of resistors connected in parallel using the formula R_eq = 1/(1/R1 + 1/R2).
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