Online Homework 13 Solutions

Online Homework 13 Solutions - (a} The values ofthe four...

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Unformatted text preview: (a} The values ofthe four capacitanees show in the diagram are: C1 = 15 pF, C2 = l pF, C3 = 16 pF, and C4 = 6 pie". Calculate the effective capacitance between terminals :1 and b. A l2 V battery is connected across terminals :1 and h and remains in place for the remainderol" this problem. [b] How much charge is stored on the positive plate of CI when the network is Fully charged? [c] How much charge is stored on the positive plate of C2 when fully charged? (a) How much charge is stored on the positive plate ol't'L';1 when the network is Fully charged? J— ; 1. Fe , 5%) Ca. Ca CH (3"! '- Spherical Capacitors The two sphedealrshell capacitors shown in the diagram have inner radii nfn = 15 em and outer radii oft: = '? em. The space between the spherical plates of capacitor {1. is filled with air and in capacitor C9 the space is filled with a dielectric with rr= 2.9. {a} Caienlatc the two capacitanees. The two capacitors are connected to an E = 2.5 V battery using die circuit shown in the diagram. (h) Calculate the charge {including the appropriate algebraic sign] that appears on the inner plate of CA when fiillj,»r charged. to] Calculate the charge that appears on the outer plate of CD when it is fully' charged. “:3 E r: 5"": b 31"— Capaeitnr Newark V= 12V I l :1 C1= 3le Y C] I" It} C fizjzm: -2 C4 5 3-215 c..=1luF " Cs=4uF In this circuit? what is the potential difference across {34? I C'BH : HE : r I __L___ Ci at cm”. .r. C1 + (‘3, + C1— .—. E, .35} 99E " e. F.— ,L ._4 C1 G193 (3% L (Dam: : CGBJJV $3.059le (ax/)H‘Zkrfafiuc Q . 1 Vain = V—A/l = V! —*— ; jlufizi-gi’flcjqulv C! 3/1? 82L; 3 (9‘3, 1 @131” l "'- Battery and Capacitors An E = l? V battery is used to charge two identical capacitors Q. = CH = 3 uF, as shown in this diagram. -J:_ I . C C {a} Caieulate the resulting charges Q; and 9;; on the left I' R and right capacitor respectively. The battery is now removed as indicated in this diagram. l {b} Calculate the total energy stored in the capacitor CL c” network. Next a dielectric With rr= L4 is insETIEd between the plates of CR. Fully filling the available space as shown. (T he dielectric cam'es zero net charge} EL CR [c] Caiculate the new 1“values of the charges on each capacitor. til Calculate the subsequent voltage across Cg. {c} 1|ulnl'hat is the total energy.r stored in the circuit in its final configuration? (fl Compare the total energy stored in the capacitor network before and after the dielectric is inserted1 and from this determine whether the dielectric is patted into C; or must be pushed into C”. 69 {TIQILi QR ‘- 1?) U : ULt-ng. = a %(3::JF>(D-V)l =@J§fl no} Choeacn £6110 mdcttdbm m UL: Vt; agate : I I P 63 + 9'1 2‘5; _|. @‘Z‘ L r = Liqffig. ma 1+ 5 Hr @Lq .®L+ (31E fifl I 1 r —— ‘9 VPL=V .. $511: /w @L (49V HCR L CL. 1' l I EL) U : UL+ '1..- r1 1 ELLA/L + 51mm? : g mfirYgPF) (m. ml: 511m 7 UHCU ,: ED 11"»? a‘blrcm “mg h) 31.; fihkflJE— EMS—mfil ._ M ML..ML Ln EMA fig, (RH 51 m, admit. {mat Dielectric A. parallel plate capacitor is shown in the diagram in cross I section. A slab of dielectric be: 4.55} is positioned midway between the plates. The area of the plates and dielectric slab is A I: = 2.9 mg. The spacings area =c I =l.4cmartdh= l.4crn. {a} Find the capacitance. {b} A battery with E = 7 V is now connected across the capacitor. How much energ},r is stored in the capacitor when fully charged? [c] The dielectric slab is removed and replaced by a slab chonducting material with identical dimensions. The spacings a. £1, and c are unchanged. Calculate the capacitance new. {d} If slabs ofdielectrie with a’ = 2.4 are next inserted. filling the ernpt}r space between the top plate and conducting slab and the empty space between the lower plate and the conducting slab, what is the capacitance of the resulting configuration? JD?) ILL %CU J, ’L "I = (1510,4812; xlD flax/J ...
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Online Homework 13 Solutions - (a} The values ofthe four...

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