My Learning Cart
?
Categories
Account

If the resistivity of a material is 2 x 10^-8 Ω·m and the wire has a length of 3

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: If the resistivity of a material is 2 x 10^-8 Ω·m and the wire has a length of 3 m and a cross-sectional area of 0.5 mm², what is the resistance?

Options:

  1. 0.12 Ω
  2. 0.15 Ω
  3. 0.18 Ω
  4. 0.20 Ω

Correct Answer: 0.12 Ω

Solution: 

Resistance R = ρ * (L / A) = 2 x 10^-8 * (3 / 0.5 x 10^-6) = 0.12 Ω.

If the resistivity of a material is 2 x 10^-8 Ω·m and the wire has a length of 3

Practice Questions

Q1
If the resistivity of a material is 2 x 10^-8 Ω·m and the wire has a length of 3 m and a cross-sectional area of 0.5 mm², what is the resistance?
  1. 0.12 Ω
  2. 0.15 Ω
  3. 0.18 Ω
  4. 0.20 Ω

Questions & Step-by-Step Solutions

If the resistivity of a material is 2 x 10^-8 Ω·m and the wire has a length of 3 m and a cross-sectional area of 0.5 mm², what is the resistance?
Correct Answer: 0.12 Ω
  • Step 1: Identify the given values. The resistivity (ρ) is 2 x 10^-8 Ω·m, the length (L) of the wire is 3 m, and the cross-sectional area (A) is 0.5 mm².
  • Step 2: Convert the cross-sectional area from mm² to m². Since 1 mm² = 1 x 10^-6 m², we have A = 0.5 mm² = 0.5 x 10^-6 m².
  • Step 3: Use the formula for resistance: R = ρ * (L / A).
  • Step 4: Substitute the values into the formula: R = 2 x 10^-8 * (3 / (0.5 x 10^-6)).
  • Step 5: Calculate the value inside the parentheses: 3 / (0.5 x 10^-6) = 3 / 0.5 x 10^-6 = 6 x 10^6.
  • Step 6: Now multiply: R = 2 x 10^-8 * 6 x 10^6.
  • Step 7: Perform the multiplication: R = 12 x 10^-2 = 0.12 Ω.
  • Ohm's Law and Resistance Calculation – The question tests the understanding of how to calculate resistance using the formula R = ρ * (L / A), where ρ is resistivity, L is length, and A is cross-sectional area.
  • Unit Conversion – The question requires converting the cross-sectional area from mm² to m² to ensure consistent units in the calculation.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks