In a circuit with a 24V battery and two resistors in series (R1 = 8Ω, R2 = 16Ω),

Practice Questions

Q1
In a circuit with a 24V battery and two resistors in series (R1 = 8Ω, R2 = 16Ω), what is the voltage across R2?
  1. 16V
  2. 8V
  3. 12V
  4. 4V

Questions & Step-by-Step Solutions

In a circuit with a 24V battery and two resistors in series (R1 = 8Ω, R2 = 16Ω), what is the voltage across R2?
  • Step 1: Identify the total voltage in the circuit, which is given as 24V from the battery.
  • Step 2: Identify the values of the resistors: R1 = 8Ω and R2 = 16Ω.
  • Step 3: Calculate the total resistance in the circuit by adding R1 and R2: Total Resistance = R1 + R2 = 8Ω + 16Ω = 24Ω.
  • Step 4: Use the voltage division formula to find the voltage across R2: V_R2 = V_total * (R2 / Total Resistance).
  • Step 5: Substitute the values into the formula: V_R2 = 24V * (16Ω / 24Ω).
  • Step 6: Simplify the fraction: 16Ω / 24Ω = 2/3.
  • Step 7: Multiply 24V by 2/3 to find V_R2: V_R2 = 24V * (2/3) = 16V.
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