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In a circuit with two resistors in series, if the total voltage across the circu

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Question: In a circuit with two resistors in series, if the total voltage across the circuit is 12V and the resistors have values of 4Ω and 6Ω, what is the voltage across the 4Ω resistor?

Options:

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

Correct Answer: 6V

Solution: 

Using the voltage divider rule, V1 = (R1 / (R1 + R2)) * Vtotal = (4 / (4 + 6)) * 12 = 4.8V.

In a circuit with two resistors in series, if the total voltage across the circu

Practice Questions

Q1
In a circuit with two resistors in series, if the total voltage across the circuit is 12V and the resistors have values of 4Ω and 6Ω, what is the voltage across the 4Ω resistor?
  1. 4V
  2. 6V
  3. 8V
  4. 12V

Questions & Step-by-Step Solutions

In a circuit with two resistors in series, if the total voltage across the circuit is 12V and the resistors have values of 4Ω and 6Ω, what is the voltage across the 4Ω resistor?
Correct Answer: 4.8V
  • Step 1: Identify the total voltage in the circuit, which is given as 12V.
  • Step 2: Identify the values of the resistors. We have R1 = 4Ω and R2 = 6Ω.
  • Step 3: Calculate the total resistance in the circuit by adding the two resistors together: Rtotal = R1 + R2 = 4Ω + 6Ω = 10Ω.
  • Step 4: Use the voltage divider rule to find the voltage across the 4Ω resistor (V1). The formula is V1 = (R1 / Rtotal) * Vtotal.
  • Step 5: Substitute the values into the formula: V1 = (4Ω / 10Ω) * 12V.
  • Step 6: Calculate the fraction: 4 / 10 = 0.4.
  • Step 7: Multiply this fraction by the total voltage: 0.4 * 12V = 4.8V.
  • Step 8: Conclude that the voltage across the 4Ω resistor is 4.8V.
  • Voltage Divider Rule – The voltage across a resistor in a series circuit can be calculated using the formula V = (R / (R_total)) * V_total, where R is the resistance of the resistor, R_total is the total resistance, and V_total is the total voltage.
  • Series Resistors – In a series circuit, the total resistance is the sum of the individual resistances, and the same current flows through all components.
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