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760_Physics ProblemsTechnical Physics

# 760_Physics ProblemsTechnical Physics - 100 P26.70...

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100 Capacitance and Dielectrics P26.70 The vertical orientation sets up two capacitors in parallel, with equivalent capacitance C A d A d A d p = + = + F H G I K J 00 0 22 1 2 bg κ where A is the area of either plate and d is the separation of the plates. The horizontal orientation produces two capacitors in series. If f is the fraction of the horizontal capacitor filled with dielectric, the equivalent capacitance is 1 11 0 C fd A fd A ff d A s = + = +− L N M M O Q P P , or C A d s = L N M M O Q P P 1 0 . Requiring that CC ps = gives κκ + = 1 21 , or ++ = 112 af bg . For = 200 . , this yields 3 00 2 00 1 00 4 00 .. . . −= a f f , with the solution f = 2 3 . P26.71 Initially (capacitors charged in parallel), qCV 6 00 250 1 500 == = af . F V C µµ 250 500 = V C . After reconnection (positive plate to negative plate), =−=
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