Find the net charge on the shell

[dwx1]

Can anyone help me with this problem? I've been working on it for hours and can't get anywhere with it, I just have no idea how to do it at this point.

A cylindrical shell of radius 7.00 cm and length 240 cm has its charge uniformly distributed on its curved surface. The magnitude of the electric field at a point 19.0 cm radially outward from its axis (mesaured from the midpoint of the shell) is 36.0 kN/C. Find (a) the net charge on the shell and (b) the electric field at a point 4.00 cm from the axis, measured radially outward from the midpoint of the shell.

Anyone?
Thanks so much.

 

[Galileo]

As the title indicates, use Gauss' Law. The Gaussian surface should be obvious to choose and easy to evaluate because of symmetry.

Show us what you've got so far.

 

[quicknote]

I would suggest starting by reviewing the fundamental principles of electric charge and electric fields. Once you have a solid understanding of these concepts, you can approach the problem by breaking it down into smaller, more manageable steps.

First, determine the charge density of the shell by dividing the magnitude of the electric field (36.0 kN/C) by the distance from the axis (19.0 cm). This will give you the charge per unit length on the curved surface of the shell.

Next, calculate the total charge on the curved surface by multiplying the charge density by the length of the shell (240 cm). This will give you the net charge on the shell in coulombs, which is the unit for electric charge.

To find the electric field at a point 4.00 cm from the axis, you can use the known relationship between electric field and charge density, which is given by the equation E = (kλ)/r, where k is the Coulomb's constant, λ is the charge density, and r is the distance from the axis. Using this equation, you can plug in the values you have calculated to find the electric field at this point.

If you are still struggling with the problem, I would recommend seeking assistance from a professor, tutor, or classmate who may be able to provide additional guidance or clarification. It is important to approach scientific problems with a clear understanding of the concepts involved and to break them down into smaller, more manageable steps. With persistence and a solid understanding of the principles involved, you will be able to solve this problem.