In a circuit with a 24V battery and two resistors in series (6Ω and 3Ω), what is

Practice Questions

Q1
In a circuit with a 24V battery and two resistors in series (6Ω and 3Ω), what is the voltage across the 3Ω resistor?
  1. 8V
  2. 12V
  3. 16V
  4. 4V

Questions & Step-by-Step Solutions

In a circuit with a 24V battery and two resistors in series (6Ω and 3Ω), what is the voltage across the 3Ω resistor?
Correct Answer: 8V
  • Step 1: Identify the total resistance in the circuit by adding the resistances of the two resistors. Total resistance = 6Ω + 3Ω.
  • Step 2: Calculate the total resistance. Total resistance = 9Ω.
  • Step 3: Use Ohm's Law to find the current in the circuit. Ohm's Law states that Current (I) = Voltage (V) / Resistance (R). Here, V = 24V and R = 9Ω.
  • Step 4: Calculate the current. I = 24V / 9Ω = 2.67A.
  • Step 5: To find the voltage across the 3Ω resistor, use the formula Voltage (V) = Current (I) * Resistance (R). Here, I = 2.67A and R = 3Ω.
  • Step 6: Calculate the voltage across the 3Ω resistor. Voltage = 2.67A * 3Ω = 8V.
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