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In a parallel circuit with a 12V source and two resistors (4Ω and 12Ω), what is

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Question: In a parallel circuit with a 12V source and two resistors (4Ω and 12Ω), what is the total current supplied by the source?

Options:

  1. 3A
  2. 2A
  3. 1A
  4. 4A

Correct Answer: 3A

Solution: 

Total current I = V * (1/R1 + 1/R2) = 12V * (1/4 + 1/12) = 3A.

In a parallel circuit with a 12V source and two resistors (4Ω and 12Ω), what is

Practice Questions

Q1
In a parallel circuit with a 12V source and two resistors (4Ω and 12Ω), what is the total current supplied by the source?
  1. 3A
  2. 2A
  3. 1A
  4. 4A

Questions & Step-by-Step Solutions

In a parallel circuit with a 12V source and two resistors (4Ω and 12Ω), what is the total current supplied by the source?
  • Step 1: Identify the voltage of the source, which is 12V.
  • Step 2: Identify the resistors in the circuit, which are 4Ω and 12Ω.
  • Step 3: Calculate the reciprocal of each resistor: 1/R1 = 1/4 and 1/R2 = 1/12.
  • Step 4: Find the common values: 1/4 = 0.25 and 1/12 = 0.0833.
  • Step 5: Add the reciprocals together: 0.25 + 0.0833 = 0.3333.
  • Step 6: Multiply the total by the voltage: Total current I = 12V * 0.3333.
  • Step 7: Calculate the total current: 12V * 0.3333 = 4A.
  • Ohm's Law and Parallel Circuits – Understanding how voltage, current, and resistance interact in a parallel circuit, specifically using the formula for total current in parallel resistors.
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