Electrostatics Problem: Find E Field and R

In summary, The problem involves finding the resistance of a cylindrical conductor with a non-uniform distribution of charge density. The formula for finding resistance in terms of angle is given, and the process for finding the E field is explained by dividing the cylinder into angular elements and integrating over them. The final step is to take the reciprocal of the result to find the resistance.
  • #1
zimo
45
0

Homework Statement


The problem is attached as an image.

Homework Equations



R=integral(rho*D/A)
I guess that there is more...

The Attempt at a Solution



I got stuck stright on A), for I don't have a clue what to do with such a weird Rho value.
Afterwords when we want to find E field - can't we just say E=v0/D ?
 

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  • #2
Choose a starting radius,the angle r(instead of theta) is the angle in the cos term,divide the cylinder into different anglular elements of angle dr,each of these has an area 1/2*a*a*dr and a length D,Each on has a resistance of rho*D/Area where the formula for rho in terms of angle is given,,all such elements are connected in parallel,take the reciprocal and integrate r from 0 to 2pi,then reciprocate the answer to get the restistance.
 

1. What is electrostatics?

Electrostatics is the branch of physics that deals with the study of electric charges at rest and the behavior of stationary charges under the influence of electric fields.

2. How do you find the electric field (E-field) in an electrostatics problem?

To find the electric field in an electrostatics problem, you can use the equation E = kQ/r², where E is the electric field, k is the Coulomb's constant, Q is the charge of the source, and r is the distance from the source.

3. What is the significance of finding the E-field in an electrostatics problem?

The E-field is important because it determines the force that a charge will experience in the presence of an electric field. It also helps to understand the behavior of charges and their interactions in electrostatics.

4. How do you find the distance (r) in an electrostatics problem?

The distance (r) in an electrostatics problem is the distance between the source charge and the point at which the electric field is being calculated. It can be found using a ruler or by measuring the distance between two points using coordinates.

5. What factors affect the strength of the electric field in an electrostatics problem?

The strength of the electric field in an electrostatics problem is affected by the magnitude of the source charge, the distance from the source charge, and the medium in which the charges are located. It is also affected by the number and distribution of surrounding charges.

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