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Find capacitance (calculus)

  • Thread starter blackblanx
  • Start date
  • #1
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Homework Statement



Determine the capacitance of two conducting plates facing each other at an angle as shown (in link) . Plate A and B have dimensions of 10x20 cm and 10x (20sec30) (angles in degrees)

Homework Equations


C=( [tex]\epsilon[/tex] A)/d


The Attempt at a Solution


not quite sure can someone help me get the ball rolling or the floor moving
 

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Answers and Replies

  • #2
rl.bhat
Homework Helper
4,433
5
If you take one strip of the plate of width dx and length L.
The capacity of that strip is given by
ΔC = εο*L*dx/(d + d')
From the figure write down d' in terms of x and θ.
Find the integration to get the capacitance C.
 
  • #3
16
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What are you using for d' ?
 
  • #4
rl.bhat
Homework Helper
4,433
5
What are you using for d' ?
d' is the variance distance of the slanted plate from the horizontal line.
In the problem, numerical values are not correct.
One end of the slanted plate is 1 mm from the top plate,. And the other end is 0.1 mm from the top plate. So tan θ = 0.9 mm/0.1 mm which is not equal to tan(30)
 

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