My Learning Cart
?
Categories
Account

Using Gauss's law, what is the electric field inside a uniformly charged cylindr

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

What’s inside this PDF?

Question: Using Gauss\'s law, what is the electric field inside a uniformly charged cylindrical shell of radius R?

Options:

  1. 0
  2. Q/(2πε₀R)
  3. Q/(4πε₀R²)
  4. Q/(2πε₀R²)

Correct Answer: 0

Solution: 

Inside a uniformly charged cylindrical shell, the electric field is zero due to symmetry, as the contributions from all parts of the shell cancel out.

Using Gauss's law, what is the electric field inside a uniformly charged cylindr

Practice Questions

Q1
Using Gauss's law, what is the electric field inside a uniformly charged cylindrical shell of radius R?
  1. 0
  2. Q/(2πε₀R)
  3. Q/(4πε₀R²)
  4. Q/(2πε₀R²)

Questions & Step-by-Step Solutions

Using Gauss's law, what is the electric field inside a uniformly charged cylindrical shell of radius R?
Correct Answer: 0
  • Step 1: Understand Gauss's Law, which states that the electric flux through a closed surface is proportional to the charge enclosed by that surface.
  • Step 2: Consider a cylindrical shell with a uniform charge distribution and a radius R.
  • Step 3: Visualize a point inside the cylindrical shell. This point is at a distance less than R from the center of the shell.
  • Step 4: Choose a Gaussian surface, which is an imaginary cylinder that is also inside the shell and has a radius less than R.
  • Step 5: Calculate the charge enclosed by the Gaussian surface. Since the point is inside the shell, there is no charge enclosed (the charge is only on the shell).
  • Step 6: According to Gauss's Law, since the enclosed charge is zero, the electric flux through the Gaussian surface is also zero.
  • Step 7: Since the electric flux is zero, the electric field inside the shell must also be zero, as there are no contributions from the shell's charge.
  • Gauss's Law – A fundamental law in electrostatics that relates the electric field to the charge enclosed by a closed surface.
  • Symmetry in Electric Fields – The principle that the electric field contributions from symmetrical charge distributions can cancel each other out.
  • Cylindrical Shell – A hollow cylinder with uniform charge distribution, which affects the electric field inside and outside the shell.
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