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In a parallel circuit with two resistors R1 = 6Ω and R2 = 3Ω, what is the equiva

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Question: In a parallel circuit with two resistors R1 = 6Ω and R2 = 3Ω, what is the equivalent resistance?

Options:

  1. 2Ω
  2. 4Ω
  3. 1.5Ω
  4. 9Ω

Correct Answer: 2Ω

Solution: 

1/R_eq = 1/R1 + 1/R2 = 1/6 + 1/3 = 1/6 + 2/6 = 3/6, thus R_eq = 2Ω.

In a parallel circuit with two resistors R1 = 6Ω and R2 = 3Ω, what is the equiva

Practice Questions

Q1
In a parallel circuit with two resistors R1 = 6Ω and R2 = 3Ω, what is the equivalent resistance?
  1. 2Ω
  2. 4Ω
  3. 1.5Ω
  4. 9Ω

Questions & Step-by-Step Solutions

In a parallel circuit with two resistors R1 = 6Ω and R2 = 3Ω, what is the equivalent resistance?
  • Step 1: Identify the resistors in the parallel circuit. We have R1 = 6Ω and R2 = 3Ω.
  • Step 2: Write the formula for equivalent resistance in a parallel circuit: 1/R_eq = 1/R1 + 1/R2.
  • Step 3: Substitute the values of R1 and R2 into the formula: 1/R_eq = 1/6 + 1/3.
  • Step 4: Convert 1/3 to have a common denominator with 1/6. 1/3 = 2/6.
  • Step 5: Now add the fractions: 1/6 + 2/6 = 3/6.
  • Step 6: To find R_eq, take the reciprocal of 3/6: R_eq = 6/3 = 2Ω.
  • Parallel Circuit Resistance – In a parallel circuit, the reciprocal of the equivalent resistance is the sum of the reciprocals of the individual resistances.
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