P26_015 - series, the equivalent capacitance is determined...

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15. Let x be the separation of the plates in the lower capacitor. Then the plate separation in the upper capacitor is a b x . The capacitance of the lower capacitor is C ` = ε 0 A/x and the capacitance of the upper capacitor is C u = ε 0 A/ ( a b x ), where A is the plate area. Since the two capacitors are in
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Unformatted text preview: series, the equivalent capacitance is determined from 1 C eq = 1 C ` + 1 C u = x ε A + a − b − x ε A = a − b ε A . Thus, the equivalent capacitance is given by C eq = ε A/ ( a − b ) and is independent of x ....
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.

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