My Learning Cart
?
Categories
Account

A wire has a resistance of 10 Ω at 20°C. If the temperature coefficient of resis

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

What’s inside this PDF?

Question: A wire has a resistance of 10 Ω at 20°C. If the temperature coefficient of resistivity is 0.004/°C, what will be its resistance at 100°C?

Options:

  1. 10 Ω
  2. 12 Ω
  3. 14 Ω
  4. 16 Ω

Correct Answer: 14 Ω

Solution: 

R = R0(1 + α(T - T0)) = 10(1 + 0.004(100 - 20)) = 10(1 + 0.32) = 10(1.32) = 13.2 Ω.

A wire has a resistance of 10 Ω at 20°C. If the temperature coefficient of resis

Practice Questions

Q1
A wire has a resistance of 10 Ω at 20°C. If the temperature coefficient of resistivity is 0.004/°C, what will be its resistance at 100°C?
  1. 10 Ω
  2. 12 Ω
  3. 14 Ω
  4. 16 Ω

Questions & Step-by-Step Solutions

A wire has a resistance of 10 Ω at 20°C. If the temperature coefficient of resistivity is 0.004/°C, what will be its resistance at 100°C?
Correct Answer: 13.2 Ω
  • Step 1: Identify the initial resistance (R0) of the wire, which is 10 Ω.
  • Step 2: Identify the initial temperature (T0), which is 20°C.
  • Step 3: Identify the final temperature (T), which is 100°C.
  • Step 4: Identify the temperature coefficient of resistivity (α), which is 0.004/°C.
  • Step 5: Calculate the change in temperature (T - T0), which is 100°C - 20°C = 80°C.
  • Step 6: Multiply the change in temperature by the temperature coefficient: 0.004 * 80 = 0.32.
  • Step 7: Add 1 to the result from Step 6: 1 + 0.32 = 1.32.
  • Step 8: Multiply the initial resistance (R0) by the result from Step 7: 10 Ω * 1.32 = 13.2 Ω.
  • Step 9: The final resistance at 100°C is 13.2 Ω.
  • Resistance and Temperature Coefficient – Understanding how resistance changes with temperature using the formula R = R0(1 + α(T - T0)).
  • Linear Temperature Dependence – Applying the linear relationship between resistance and temperature for conductors.
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