non-parallel plate capacitance

ianmc7

Im having trouble calculating the capacitance of a non-parallel plate capacitor where seperation at one edge is d-a and the other it is d+a, assuming a<<d. I'm supposed to prove that C= epsilon_not A/d (1+a^2/3d^2). Thanks for the help.

clem

The equations for the distance between the plates is x=d+ay/L.
The surface charge ~V/x.
Integrate V/(d+ay/L) from y=-L/2 to +L/2.
Expand the logarithm.

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ianmc7	non-parallel plate capacitance Tweet Im having trouble calculating the capacitance of a non-parallel plate capacitor where seperation at one edge is d-a and the other it is d+a, assuming a<<d. I'm supposed to prove that C= epsilon_not A/d (1+a^2/3d^2). Thanks for the help.

clem Recognitions: Science Advisor	The equations for the distance between the plates is x=d+ay/L. The surface charge ~V/x. Integrate V/(d+ay/L) from y=-L/2 to +L/2. Expand the logarithm.