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In a parallel circuit with two resistors, R1 = 4Ω and R2 = 6Ω, what is the total

Practice Questions

Q1
In a parallel circuit with two resistors, R1 = 4Ω and R2 = 6Ω, what is the total resistance?
  1. 2.4Ω
  2. 10Ω
  3. 24Ω
  4. 1.5Ω

Questions & Step-by-Step Solutions

In a parallel circuit with two resistors, R1 = 4Ω and R2 = 6Ω, what is the total resistance?
  • Step 1: Identify the values of the resistors. Here, R1 = 4Ω and R2 = 6Ω.
  • Step 2: Use the formula for total resistance in a parallel circuit: R = 1 / (1/R1 + 1/R2).
  • Step 3: Calculate 1/R1. This is 1/4 = 0.25.
  • Step 4: Calculate 1/R2. This is 1/6 ≈ 0.1667.
  • Step 5: Add the two results from Step 3 and Step 4: 0.25 + 0.1667 = 0.4167.
  • Step 6: Take the reciprocal of the sum from Step 5 to find the total resistance: R = 1 / 0.4167 ≈ 2.4Ω.
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