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In a circuit with a 24V battery and three resistors in series (R1 = 2Ω, R2 = 3Ω,

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Question: In a circuit with a 24V battery and three resistors in series (R1 = 2Ω, R2 = 3Ω, R3 = 5Ω), what is the voltage drop across R2?

Options:

  1. 6V
  2. 8V
  3. 12V
  4. 10V

Correct Answer: 8V

Solution:

Total resistance R_total = R1 + R2 + R3 = 2Ω + 3Ω + 5Ω = 10Ω. Current I = V/R_total = 24V / 10Ω = 2.4A. Voltage drop across R2 = I * R2 = 2.4A * 3Ω = 7.2V.

In a circuit with a 24V battery and three resistors in series (R1 = 2Ω, R2 = 3Ω,

Practice Questions

Q1
In a circuit with a 24V battery and three resistors in series (R1 = 2Ω, R2 = 3Ω, R3 = 5Ω), what is the voltage drop across R2?
  1. 6V
  2. 8V
  3. 12V
  4. 10V

Questions & Step-by-Step Solutions

In a circuit with a 24V battery and three resistors in series (R1 = 2Ω, R2 = 3Ω, R3 = 5Ω), what is the voltage drop across R2?
  • Step 1: Identify the values of the resistors: R1 = 2Ω, R2 = 3Ω, R3 = 5Ω.
  • Step 2: Calculate the total resistance in the circuit by adding the resistances together: R_total = R1 + R2 + R3.
  • Step 3: Substitute the values into the equation: R_total = 2Ω + 3Ω + 5Ω.
  • Step 4: Perform the addition: R_total = 10Ω.
  • Step 5: Use Ohm's Law to find the current in the circuit: I = V / R_total, where V is the voltage of the battery (24V).
  • Step 6: Substitute the values into the equation: I = 24V / 10Ω.
  • Step 7: Perform the division to find the current: I = 2.4A.
  • Step 8: Calculate the voltage drop across R2 using the formula: Voltage drop = I * R2.
  • Step 9: Substitute the values into the equation: Voltage drop = 2.4A * 3Ω.
  • Step 10: Perform the multiplication to find the voltage drop: Voltage drop = 7.2V.
  • Ohm's Law – The relationship between voltage (V), current (I), and resistance (R) in a circuit, expressed as V = I * R.
  • Series Circuits – In a series circuit, the total resistance is the sum of individual resistances, and the same current flows through all components.
  • Voltage Drop – The reduction in voltage across a resistor in a circuit, calculated using the current through the resistor and its resistance.
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