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In a parallel circuit with a 12V source and two resistors of 6Ω and 12Ω, what is

Practice Questions

Q1
In a parallel circuit with a 12V source and two resistors of 6Ω and 12Ω, what is the total current drawn from the source?
  1. 1 A
  2. 2 A
  3. 3 A
  4. 4 A

Questions & Step-by-Step Solutions

In a parallel circuit with a 12V source and two resistors of 6Ω and 12Ω, what is the total current drawn from the source?
  • Step 1: Identify the voltage of the source, which is 12V.
  • Step 2: Identify the resistors in the circuit, which are 6Ω and 12Ω.
  • Step 3: Calculate the total resistance (R_total) for the parallel circuit using the formula: R_total = 1 / (1/R1 + 1/R2).
  • Step 4: Substitute the values of the resistors into the formula: R_total = 1 / (1/6 + 1/12).
  • Step 5: Calculate 1/6 and 1/12: 1/6 = 0.1667 and 1/12 = 0.0833.
  • Step 6: Add these two values together: 0.1667 + 0.0833 = 0.25.
  • Step 7: Take the reciprocal of 0.25 to find R_total: R_total = 1 / 0.25 = 4Ω.
  • Step 8: Use Ohm's Law to find the total current (I) drawn from the source: I = V / R_total.
  • Step 9: Substitute the values: I = 12V / 4Ω.
  • Step 10: Calculate the total current: I = 3 A.
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