Charge is distributed uniformly throughout the volume of an infinitely long solid cylinder of radius R. (a) Show that, at a distance r < R from the cylinder axis, E = ? r / (2 ?0), where ? is the volume charge density. (b) Write an expression for E when r > R.
Added by Andrew C.
Close
Step 1
Given: Volume charge density, Ļ Radius of the cylinder, R Distance from the axis, r Using Gauss's Law: E * 2Ļr = Ļ * Ļr^2 E = Ļr / 2εā ** Show moreā¦
Show all steps
Your feedback will help us improve your experience
Kranti S and 82 other Physics 101 Mechanics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Charge is distributed uniformly throughout the volume of an infinitely long solid cylinder of radius $R .$ (a) Show that, at a distance $r<$ $R$ from the cylinder axis,
. A charge šis uniformly distributed in a long cylinder of radius š and a uniform charge density š. Find the electric field for the region (a) š>š (b) š<š
Supreeta N.
Charge is distributed uniformly with a density $\rho$ throughout an infinitely long cylindrical volume of radius R. Show that the field of this charge distribution is directed radially with respect to the cylinder and that $$\begin{array}{ll} E=\frac{\rho r}{2 \varepsilon_{0}} & (r \leq R) \\ E=\frac{\rho R^{2}}{2 \varepsilon_{0} r} & (r \geq R) \end{array}$$
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD