If two resistors of resistivity 5 Ω·m and 10 Ω·m are connected in series, what i

Practice Questions

Q1
If two resistors of resistivity 5 Ω·m and 10 Ω·m are connected in series, what is the total resistance?
  1. 15 Ω
  2. 5 Ω
  3. 10 Ω
  4. 20 Ω

Questions & Step-by-Step Solutions

If two resistors of resistivity 5 Ω·m and 10 Ω·m are connected in series, what is the total resistance?
  • Step 1: Identify the resistances of the two resistors. The first resistor has a resistance of 5 Ω and the second resistor has a resistance of 10 Ω.
  • Step 2: Understand that when resistors are connected in series, the total resistance is found by adding the individual resistances together.
  • Step 3: Write the formula for total resistance in series: R_total = R1 + R2.
  • Step 4: Substitute the values of the resistances into the formula: R_total = 5 Ω + 10 Ω.
  • Step 5: Perform the addition: 5 + 10 = 15.
  • Step 6: Conclude that the total resistance of the two resistors in series is 15 Ω.
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