If a circuit has a 15V battery and two resistors (R1 = 5Ω, R2 = 10Ω) in series,

Practice Questions

Q1
If a circuit has a 15V battery and two resistors (R1 = 5Ω, R2 = 10Ω) in series, what is the voltage across R2?
  1. 10V
  2. 5V
  3. 15V
  4. 0V

Questions & Step-by-Step Solutions

If a circuit has a 15V battery and two resistors (R1 = 5Ω, R2 = 10Ω) in series, what is the voltage across R2?
  • Step 1: Identify the total voltage from the battery, which is 15V.
  • Step 2: Identify the values of the resistors: R1 = 5Ω and R2 = 10Ω.
  • Step 3: Calculate the total resistance in the circuit by adding R1 and R2: Total Resistance = R1 + R2 = 5Ω + 10Ω = 15Ω.
  • Step 4: Use the formula to find the voltage across R2: Voltage across R2 = (R2 / Total Resistance) * Total Voltage.
  • Step 5: Substitute the values into the formula: Voltage across R2 = (10Ω / 15Ω) * 15V.
  • Step 6: Simplify the calculation: Voltage across R2 = (10 / 15) * 15V = 10V.
  • Voltage Division – The concept of voltage division in series circuits, where the voltage across a resistor is proportional to its resistance relative to the total resistance.
  • Ohm's Law – Understanding the relationship between voltage, current, and resistance in electrical circuits.
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