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§;C®Q_T 5V 5 Chapter 25, Problem 12 In the ﬁgure 2531, the battery has a potential difference of V— — 10.0 V and the ﬁve capacitors each have a capacitance of
8. 33 pF. What is the charge in microcoulombs on (a) capacitor 1 and (b) capacitor 2? Figure 2531 (a) Number cm:
a» Number DEE: umts I:;e::: Qnswer 9;: significant digits are disabled; the tolerance is +/2% Chapter 25, Problem 16 Figure 2532 shows a circuit section of four airfilled capacitors that is connected to a larger circuit. The graph below
the section shows the electric potential V(X) as a function of position X along the lower part of the section, through
capacitor 4. Similany, the graph above the section shows the electric potential V(X) as a function of position X along
the upper part of the section, through capacitors 1, 2, and 3. Capacitor 3 has a capacitance of 0.30 uF. What are the
capacitances of (a) capacitor 1 and (b) capacitor 2? V {1‘3 1“ Fig. 2532
Problem 16. (a)
m Number— Capacitor 3 Ficus q Vol‘ll‘ocae drop 0‘? IZV— ZV*5V= 5%
Hence, Q3: C\/=(0.;‘6F)(5\/)=l,5/¢C. BZCQUSe C, and C2. am In Series Wi+h C3/ 62,: awe; i5/cc
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(L5 Caff V and ‘I—hz VoH'agZ aeross C¢1C1E,‘I'0P [:5 M ,_. ME 3409 = (aw V
CaHﬂOfJ (eff/7L0}? + C415 bd‘f’om Vtop 1:5 “Hoe, VoH'age across __L C5 %@ 50 (7/ a, Similar “KHZ of fearsonihrIj \/3: C5 We? 9 and hence
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C3+C5 Chapter 25, Problem 17 GO In the ﬁgure below a 19 V battery is connected across capacitors of capacitances C1 = C5 = 5.0 pF and
C3 = C5 = 1.5C2 = 1.5C4 = 4.5 pF. What are the (a) potential V3 across and (b) charge q3 (in C) on capacitor 3? m ~umbre 1::2::1
m ~umer E::g:'::1 Chapter 25, Problem 25 The capacitors in Figure 2541 are initially uncharged. The capacitances are C1 = 3.0 uF, C2 = 8.5 uF, and C3 = 14
uF, and the battery‘s potential difference is V: 14 V. When switch S is closed, how many electrons travel through
(a) point a, (b) point b, (c) point c, and (d) point d? (e) In the figure, do the electrons travel up or down through
point b? 1 = up, 2 = down. Give the number of the correct answer. (f) In the figure, do the electrons travel up or
down through point c? 1 = up, 2 = down. Give the number of the correct answer. Fig. 2541 The Z‘F‘Facﬁwe CapacH‘anCc O‘F +1413 0‘er is
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=Q/e= ILL/Ln 0’3 = Q3/€=55 ZIKIOB
The elecﬁons/whxch are mega—Hygly charged, ﬂow upwards becawse I is downWardS. Chapter 25, Problem 36 In Fig. 25—28, a potential difference V: 130 V is applied across a capacitor arrangement with capacitances C1 =
8.78 pF, C2 = 7.33 pF, and C3 = 5.49 pF. What are (a) charge q3 in microcoulombs, (b) potential difference V3, and
(c) stored energy U3 for capacitor 3 in joules, (d) q1, (e) V1, and (f) U1 for capacitor 1, and (g) q2, (h) V2, and (i)
U2 for capacitor 2? Figure 2528 umbe—ume
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(e) Numbbe— z_ um Numbe— —_
amm— Since V3 3‘\/2 Hoe charge on C3 is Q3=C3V=7el372<10_4C. CI and C» are in Sages and have L‘F’Fec+ive Capacr'f'ance
= = Q \/ =5,l37/ 0—4C. acre/.1: a 62. (>22, (ﬁe/«HMO > / a V. = GZu/C, =ﬂeasv and v2: 622/62 = 70.76% The energy 5+0red in Ci Capaci+or is U=§JLCVL12lci Chapter 25, Problem 50 GO The figure shows a parallelplate capacitor of plate area A = 11.6 cm2 and plate separation 2d: 7.06 mm. The left
half of the gap is filled with material of dielectric constant K1 = 24.6; the top of the right half is filled with material of dielectric constant K2 = 42.8; the bottom of the right half is filled with material of dielectric constant K3 = 58.0. What
is the capacitance (in F)? Number Units TFHS‘ geometry Can be. modelled by Hoe ‘Followrnﬂ C {raw7+: f‘l C2, where C‘ :w c,. j: C 24
3 C2,: K150 04/2)
of C3 = K3 Ea [/4/2)
d The, atteciive CaFaCH‘ance is Carr = C, +(_1_+ ’ >_1:5,37x/0"’;: *Chapter 25 Problem 54 Two parallel plates of area 180 cm2 are given charges of equal magnitudes 9.6 x 10'7 C but opposite signs. The electric field within the dielectric material filling the space between the plates is 1.3 x 106 V/m. (a) Calculate the
dielectric constant of the material. (b) Determine the magnitude of the charge (in C) induced on each dielectric
surface. (mm—WSCZZ Answer a1: the tolerance is +/—2%
Answer b1: the tolerance is +/2% Copynght©2000 2008‘5yJohn erey8. Sons Inc or relgted companies All rights reserved
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rm) ”7 E?" 1’5’33 in ﬂog +£721'l'. It allows one +0 mix/a :‘Far (7%;qu since. we lanai/v62, and K, In Fig. 25—52, V: 11 V, C1 = C5 = C5 = 7.0 uF, and C2 = C3 = C4 = 4.9 uF. What are (a) the net charge stored on
the capacitors and (b) the charge on capacitor 4? C
i Figure 25—52. Give your answers in Couiombs. «mum—mm ¢
mums— Answer al: the tolerance is +/—2%
Answer b1: the tolerance is +/2% (b) Number copyright ©20662008 byJohn Wiiéyé. Sons, Inc. or related compeniee. All rights reserved. ' The? grimfiv’aiani 7L0) 4 Hence J. 3 J, .43 .. I V .+ "23,. ,
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