In a circuit with a 24V battery and three resistors of 4Ω, 4Ω, and 8Ω in series,

Practice Questions

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

Questions & Step-by-Step Solutions

In a circuit with a 24V battery and three resistors of 4Ω, 4Ω, and 8Ω in series, what is the voltage drop across the 8Ω resistor?
Correct Answer: 12V
  • Step 1: Identify the total resistance in the circuit. Add the resistances of all three resistors: 4Ω + 4Ω + 8Ω.
  • Step 2: Calculate the total resistance: 4Ω + 4Ω + 8Ω = 16Ω.
  • Step 3: Use Ohm's Law to find the current in the circuit. The formula is I = V/R, where V is the voltage of the battery (24V) and R is the total resistance (16Ω).
  • Step 4: Calculate the current: I = 24V / 16Ω = 1.5A.
  • Step 5: To find the voltage drop across the 8Ω resistor, use the formula: Voltage drop = Current (I) * Resistance (R).
  • Step 6: Calculate the voltage drop across the 8Ω resistor: Voltage drop = 1.5A * 8Ω = 12V.
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