Electromagnetism Problem, electric charge per unit volume.

Click For Summary
SUMMARY

The discussion focuses on calculating the average electric charge per unit volume in the atmosphere between heights of 100m and 1000m, given electric field strengths of 110 V/m and 25 V/m, respectively. The problem requires applying the relationship between electric field strength and charge density, utilizing the permittivity of free space (ε₀). The solution involves determining the difference in electric field strengths and using the formula ρ = ε₀ * E to find the charge density, which can then be converted to the number of ions per unit volume, assuming each ion carries a charge of 1.6 x 10^-19 C.

PREREQUISITES
  • Understanding of electric fields and their measurements in volts per meter (V/m)
  • Familiarity with the concept of charge density and its relation to electric fields
  • Knowledge of the permittivity of free space (ε₀) and its value (approximately 8.85 x 10^-12 C²/(N·m²))
  • Basic skills in algebra for manipulating equations and performing calculations
NEXT STEPS
  • Study the relationship between electric field strength and charge density using the formula ρ = ε₀ * E
  • Learn how to calculate the volume of a spherical shell to understand the context of the problem better
  • Explore the concept of ionization and the charge of ions in atmospheric physics
  • Investigate practical applications of electric fields in meteorology and atmospheric science
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone interested in atmospheric electric fields and their implications in environmental science.

Spoony
Messages
77
Reaction score
0

Homework Statement



The atmostspheric electric fields at heights of 100m and 1000m above the surface of the eartg are 110 v/m and 25 v/m respectively and are directed downwards. Evaluate the averge electric charge per unit volume in the atmostsphere between these heights. Express your result as the number of ions per unit volume assuming that each ion carries a charge of magnitude 1.6x10^-19

Homework Equations



Value of Epsilon nought

The Attempt at a Solution



I am a little clueless about this problem. I think i may need to calculate the volume of the hollowed sphere between the two values (ie the volume of the 1000m sphere minus the volume of the 100m sphere giving me the total volume inbetween). But this doesn't sound right to me. Then how do i calaculate the electric charge per unit vol. from the electric field strength? Help would be appreciated muchly, i think i only need a prod in the right direction. Thankyou
 
Physics news on Phys.org
No-one has no idea how to solve this problem? No idea at all?
 

Similar threads

Calculating Linear Charge Density of a Cylinder
  • · Replies 1 ·
Replies
1
Views
3K
Understanding the electric force felt by the charges on a sphere
  • · Replies 1 ·
Replies
1
Views
2K
Potential and Electric Field near a Charged CD Disk
  • · Replies 2 ·
Replies
2
Views
2K
Induced charge on a conducting sphere sliced by a plane
  • · Replies 2 ·
Replies
2
Views
1K
Find the electric field of a long line charge at a radial distance
  • · Replies 1 ·
Replies
1
Views
2K
Electric Field of a Charged Sphere?
  • · Replies 1 ·
Replies
1
Views
2K
Electric field inside/outside (uniformly charged sphere)
  • · Replies 5 ·
Replies
5
Views
6K
Charge Volume Density To Charge Per Unit Length
  • · Replies 2 ·
Replies
2
Views
10K
Ion moving through electric potential difference and magnetic field
  • · Replies 8 ·
Replies
8
Views
2K
Calculating Work Done per Unit Charge in an Electric Field
  • · Replies 9 ·
Replies
9
Views
4K