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There is one cylinder and one metal plate. help me calculation of electric field. 
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#1
May312, 06:58 AM

P: 11

i have to design one shielding box. in that there is cylinder having high volatage +60kev. and box having metal plate. so i have to calculate the electric field on that cylinder and then decide , what should be the distance in between plate and cylinder. i have attach the geometry on the file. please see it.



#2
May312, 08:44 AM

P: 11

Could anyone help me ?



#3
May312, 09:45 AM

Mentor
P: 11,576

Can you use some approximation, like d>>R?
In that case, it should be possible to approximate the box as a cylinder, and calculate it like a cylindrical capacitor using Gauss' law (google should give you some ways to do this). If not, a numerical simulation might be the easiest way to solve your problem. 


#4
May312, 09:56 AM

P: 11

There is one cylinder and one metal plate. help me calculation of electric field.
yes, thanks ... bt i think i wl get that for cylindrical capacitor. bt right now i have another design.. bt i wl try for solving it.
btw what type of numerical solution that i should use?? 


#5
May312, 03:16 PM

P: 4,663

For a cylinder and one metal plate, the capacitance per unit length is given by Smythe Static and Dynamic Electricity 3rd edition page 78:
[tex] C=\frac{2\pi\epsilon}{cosh^{1}\frac{h}{R}} [/tex] for cylinder of radius R with axis parallel to and at a distance h above an infinite plane. The problem of a cylinder between two conducting planes is given on page 105. 


#6
May512, 02:33 PM

Mentor
P: 11,576

In excel, the result can look like this (I did this for a cylinder over an infinite plane orthogonal to the cylinder axis, and it uses cylindrical coordinates). 


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