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What is the equivalent resistance of a circuit with two resistors R1 = 10Ω and R

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Question: What is the equivalent resistance of a circuit with two resistors R1 = 10Ω and R2 = 10Ω in parallel?

Options:

  1. 5Ω
  2. 10Ω
  3. 20Ω
  4. 15Ω

Correct Answer: 5Ω

Solution: 

The equivalent resistance in parallel is given by 1/R_total = 1/R1 + 1/R2 = 1/10 + 1/10 = 1/5. Therefore, R_total = 5Ω.

What is the equivalent resistance of a circuit with two resistors R1 = 10Ω and R

Practice Questions

Q1
What is the equivalent resistance of a circuit with two resistors R1 = 10Ω and R2 = 10Ω in parallel?
  1. 5Ω
  2. 10Ω
  3. 20Ω
  4. 15Ω

Questions & Step-by-Step Solutions

What is the equivalent resistance of a circuit with two resistors R1 = 10Ω and R2 = 10Ω in parallel?
Correct Answer: 5Ω
  • Step 1: Identify the values of the resistors. Here, R1 = 10Ω and R2 = 10Ω.
  • Step 2: Use the formula for equivalent resistance in parallel: 1/R_total = 1/R1 + 1/R2.
  • Step 3: Substitute the values into the formula: 1/R_total = 1/10 + 1/10.
  • Step 4: Calculate the right side: 1/10 + 1/10 = 2/10 = 1/5.
  • Step 5: Now, take the reciprocal to find R_total: R_total = 1 / (1/5) = 5Ω.
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