What is the total current in a circuit with a 12V battery and three resistors (4

Practice Questions

Q1
What is the total current in a circuit with a 12V battery and three resistors (4Ω, 6Ω, and 12Ω) in series?
  1. 0.5 A
  2. 1 A
  3. 2 A
  4. 3 A

Questions & Step-by-Step Solutions

What is the total current in a circuit with a 12V battery and three resistors (4Ω, 6Ω, and 12Ω) in series?
  • Step 1: Identify the voltage of the battery, which is 12V.
  • Step 2: Identify the resistors in the circuit, which are 4Ω, 6Ω, and 12Ω.
  • Step 3: Calculate the total resistance by adding the resistances together: 4Ω + 6Ω + 12Ω.
  • Step 4: Perform the addition: 4 + 6 = 10, then 10 + 12 = 22Ω.
  • Step 5: Use Ohm's Law to find the current. Ohm's Law states I = V / R.
  • Step 6: Substitute the values into the formula: I = 12V / 22Ω.
  • Step 7: Perform the division: 12 divided by 22 is approximately 0.545.
  • Step 8: Conclude that the total current in the circuit is approximately 0.545 A.
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