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kant
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Imagine a infinitly long cylintrical dielectic shell of thickness n. show that the electric field everywhere inside such shell is zero. What is the electirc field within the thickness of the shell?
kant said:Imagine a infinitly long cylintrical dielectic shell of thickness n. show that the electric field everywhere inside such shell is zero. What is the electirc field within the thickness of the shell?
marlon said:Ok, we got the problem. So, what have you done to solve it ? Show us your progress. We have a certain policy when it comes to Homework Help, that we don't just give away answers. You can read all about this policy in the PF Guidelines.
regards
marlon
EDIT : use Gauss' Law
marlon said:If you have cylindrical symmetry, you can apply Gauss' Law.
marlon
kant said:It might work for the outer two region, but not for the region inside the shell.
marlon said:Why not ? Prove it.
marlon
kant said:Let say that you were to use gauss law within the shell. What do you think the E field will be?
How many sources of E field are there in the problem?
marlon said:Please don't turn the question around
You specifically told me that Gauss' Law cannot be applied in this case. Why do you think that ? Prove it.
regards
marlon
kant said:...How many sources of E field are there in the problem?...
mukundpa said:Electric field due to what?
Is there an external field? Is the dielectric is having an extraneous charge, and if it is, how it is distributed?
Without that how one can think of solving for electric field?
daniel_i_l said:You can show that the voltage at any point inside the cylinder is the same as on the surface. If the voltage is always the same then no work is done by the field to move a charge inside the cylinder so the electrical field must be 0.
An infinite long dielectric cylindrical shell is a type of material or structure that has a cylindrical shape and is made up of dielectric materials, which are non-conducting materials that do not allow electric charges to flow through them easily.
The finite thickness of the cylindrical shell refers to the distance between the inner and outer surfaces of the shell. It can vary depending on the specific material and design of the shell.
An infinite long dielectric cylindrical shell has many practical applications in science and engineering. It can be used in capacitors, waveguides, and other electrical components. It can also be used as a model for understanding electromagnetic fields and their interactions with dielectric materials.
The thickness of the cylindrical shell can affect its capacitance, which is a measure of its ability to store electric charge. Thicker shells typically have a higher capacitance than thinner shells. The thickness can also affect the behavior of electromagnetic waves passing through the shell.
Yes, an infinite long dielectric cylindrical shell can have a varying thickness. This can be achieved by using different types of dielectric materials or by gradually changing the composition of the shell along its length. This can result in unique properties and behaviors of the shell, making it useful for specific applications.