My Learning Cart
?
Categories
Account

In a potentiometer circuit, if the length of the wire is doubled while keeping t

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

What’s inside this PDF?

Question: In a potentiometer circuit, if the length of the wire is doubled while keeping the potential difference constant, what happens to the potential gradient?

Options:

  1. It doubles
  2. It halves
  3. It remains the same
  4. It becomes zero

Correct Answer: It halves

Solution: 

The potential gradient is defined as the potential difference per unit length. If the length is doubled while keeping the potential difference constant, the potential gradient halves.

In a potentiometer circuit, if the length of the wire is doubled while keeping t

Practice Questions

Q1
In a potentiometer circuit, if the length of the wire is doubled while keeping the potential difference constant, what happens to the potential gradient?
  1. It doubles
  2. It halves
  3. It remains the same
  4. It becomes zero

Questions & Step-by-Step Solutions

In a potentiometer circuit, if the length of the wire is doubled while keeping the potential difference constant, what happens to the potential gradient?
  • Step 1: Understand what a potentiometer circuit is. It uses a wire to measure voltage.
  • Step 2: Know that the potential gradient is the amount of voltage (potential difference) per unit length of the wire.
  • Step 3: Remember the formula for potential gradient: Potential Gradient = Potential Difference / Length of the wire.
  • Step 4: If the length of the wire is doubled, the new length becomes 2 times the original length.
  • Step 5: Since the potential difference remains constant, we can use the formula: New Potential Gradient = Potential Difference / (2 * Original Length).
  • Step 6: This means the new potential gradient is half of the original potential gradient because you are dividing by a larger number (2 times the length).
  • Step 7: Conclude that if the length of the wire is doubled while keeping the potential difference constant, the potential gradient halves.
  • Potential Gradient – The potential gradient is the ratio of the potential difference across a length of wire to that length, indicating how much potential changes per unit length.
  • Effect of Length on Potential Gradient – Doubling the length of the wire while keeping the potential difference constant results in a decrease in the potential gradient, as it is inversely proportional to the length.
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