quiz6-solutions

# quiz6-solutions - ECE 220 — Quiz 6 Please write your name...

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Unformatted text preview: ECE 220 — Quiz 6 (04/26/04) -. Please write your name at the top right corner before you start the exam Remember to write the units of the various quantities that you calculate Use the back side of each page if you need extra space. 1. (a) (20 points) Derive the capacitance of a parallel plate capacitor shown below. Starting with the deﬁnition of capacitance, write out the boundary conditions and the equations used, the corresponding laws and their equations in integral form. (Assume the dielectric between the. plates is free space or air) (b) (20 points) For the same parallel plates, if we assume that a surface current I ﬂows in the X direction on one plate and in the —X direction on the other plate, derive the inductance of the conﬁguration. Write out the details and the deﬁnition as in part (a). (c) (5 points) For the dimensions a = 5cm, b = 5 cm and d = 1cm, calculate the capacitance and the inductance of the device. (p.o = 411:10'7 H / m & co = 10'11 F/m) (d) (5 points) If the currents were changed to the Y direction (+Y and -Y direction), write out the expression for the inductance of the device. This bowanowd ooACLiHor) ‘13 3p? Qfom Ampare‘s (Gum @muaim Law) VXH=T Jig; He =0 (we OLSSMMQA H=O lm ' OWJVS‘ W Htl : KS 2 I "DCIAVVQKQ‘ ‘ b.6l6ﬁ3Hﬁ ,2 H (10¢an We, Fwd—u} :- B:.}£H= HI lo. "Unis ‘CLMX {s OLmeaﬂ’ne V OLkrer‘on (parpmcﬂcdmv ['27 X32}. " Th: 91AM 806\$ ’rhmvxa‘n We are“ 0 LC) POT a:5><(62m b=5xufzm d:lx1oﬁ2m C: anb : xo'nxsxuj'lx5x162 2 2 5 >06” 1*- : 2=5 pp L' mad : LrTTX(O'7><5X\$C5ZXIX\OPZ b aw BXlo’z‘ —. QTrXIO'O‘ : 12-57XIOJ‘ H (43.1:or 0L curve/1? 'm We V dﬁrec/Hon. 2 0k < Ks: I -Hv—-> a. x ‘1 \/ 8°95 lcor curren? ' . 60L We 0W Odan ﬁne >< direction (0" 'X); 50A; boy Wmah wwcjn Jcewe «Cl/wk wk M9 (t): yotHA : qLVbd) : 0;”! ...
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