HW4_Sol_6_F11.doc

HW4_Sol_6_F11.doc - z » . v&amp;quot; i: HOMEWORK SET 4...

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Unformatted text preview: z » . v" i: HOMEWORK SET 4 re» wit. 4:: Phys 2114 Instructor: Professor Bandy Fall 2011 l. A parallel-plate capacitor is formed from two 4.0 cm x 4.0 cm electrodes spaced 2.0 mm apart. The electric ﬁeld strength inside the capacitor is 1.0 x 106 . Calculate charge (in nC) on each electrode. @ The electron gun in a television tube uses a uniform electric ﬁeld, created for example by a parallel- plate capacitor, to accelerate electrons from rest to 5. 0 x I 07 m/s in a distance of I .2 cm. Calculate . U.) A 6 ,uF capacitor, a 10 it]? capacitor, and a 16 irF capacitor are connected together. Calculate their equivalent capacitance when they are connected in: a. series, I) parallel. 4. A 2. O—acmediameter parallel—plate capacitor with a spacing of 0.5 mm is charged to 200 V. Calculate: a. the total energy stored in the electric ﬁeld and b. the energy density. Calculate the equivalent capacitance of the three capacitors in Fig. 1 Calculate the charge on and the potential difference across each capacitor in Fig. 2. rt®® An isolated 5.0 #F parallel—plate capacitor has 4.0 mC of charge. An external force changes the distance between the electrodes until the capacitance is 2.0 yF. Calculate the work done by the external force. 8. A capacitor consists of two long concentric metal cylinders. Calculate an expression C in terms of the following conditions: inner cylinder radius is a, outer cylinder radius is b, and total charge on the inner cylinder is Q23! where i is the length of the concentric Cylinders. 9. The space between two concentric conducting spherical shells of radii b = I. 7 cm and a = 1.2 cm is ﬁlled with a dielectric substance (K = 23.5). A potential difference V = 73.0 V is applied across the Enter and outer shells. Determine a. the capacitance of the device. b. the free charge 5} on the inner shell, and c. the charge 4 ’ induced along the surface of the inner shell. A certain capacitor is charged to a potential difference V. To increase its stored energy by 10%, by What percentage should the potential Vbe increased? @ Using Fig. 3 calculate the charge on capacitor 4. C2=12glF 25oF Figure 3 #ouawogsﬁ 4 ( 2, s7 6,"), u) > " ‘1” M ‘72“; ﬁg; B'on "1,5 4 {A A 'J *4 4 UL" ,. cf? 1‘4/5 —/1 E3 f = mg AND M1: '9 _ W ' I. an.an x75; W/sz. 4’ T 1A» 2<°"”““5 ,/ - 55"“;5 a? "7' C “y 5) (cg: 4 I/«F :- pmemzal (t? c c, f ('1 4/2 + w)”; a 352/“: @ (Q’:L//uF/* (3A awn/Mp mmmm A»; 9V 6f patent-tel. 10%.- (f/ ﬁzz/4F : /6/u": 582455 6273: ‘L +c‘é = 1-+—- AF 3%ﬂFM/73/1F <9: (agave, a) cpﬁ, %ﬂF)(7\/): w/ac 6/4 AW“ 3 Aﬂf HJ 3545/;5 Q” ‘~'—'- 492 z: /6/¢(C} . : <93 m, c . - c M Ava "a; a 91:; = 3.0 V M garrad" v ____————- 4190 We 47,2: 44/44 Aw C%=’é,u/: ._ n. K. (1 AVG” .. a .5 ﬂ .3; -” V; ":A 2 CL? ﬂop": ﬂ, AND 62 PAMLLgL 3) Av, z:sz =AV47,Z So @— 4 M w 2mm v> a w 423’414‘521,“Q1ﬁ>’(")“3“ ﬂmmex 55,7; 6’ emf @ ‘mw aﬁp‘vohmg V woemxsg 5:3 V'fAV ‘41 (L (v ﬂax/3 2 #513» (v + 4.0” v; ‘ I : M w— w (“3‘0" w W + i at? té‘ : Ca ) ‘3 VoLT 6‘5 ‘bA'rIEE/j‘ 1 = 25 van :> VI, :3v We, V4 Fauna/w] Va? “lg/5517025,, g? z: c, v5, .2 (my; )(3v) c224;- ...
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HW4_Sol_6_F11.doc - z » . v&amp;quot; i: HOMEWORK SET 4...

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