Unformatted text preview: E ( z ) = ±3 8 ± ± 2 ˆ z ≤ z ≤ d3 8 ± ± 1 ˆ z d ≤ z ≤ 1 (1) a) Write the expression for the electrostatic potential V ( z ) for < z < 1 m in terms of ± 1 , ± 2 , and d . b) Does V ( z ) determined in part (a) satisfy Laplace’s Equation in the region < z < 1 m? Explain your answer. c) If the two parallel plates were each conﬁned to have a ﬁnite area A (where √ A ± d , so that fringing ﬁelds may be neglected), what would be the capacitance C of the structure in terms of ± 1 , ± 2 , and d ? Hint: You may derive C in one of two ways: (1) as the ratio Q/V of the total charge accumulated on the top plate to the total voltage drop between the plates, or (2) the combination of the capacitance of each dielectric slab in series C = ( C1 1 + C1 2 )1 . 1...
View
Full Document
 Spring '08
 Kim
 Electric charge, Fundamental physics concepts, perfectly conducting plates

Click to edit the document details