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Transcribed Image Text:9:46 & M A •
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of charge on its plates, what is the unknown capacitance?
24. Three concentric, thin conducting cylindrical shells have radii of 0.2, 0.5, and 0.8 cm.
The space between the shells is filled with air. The innermost and outermost cylinders are
connected at one end by a conducting wire. Find the capacitance per unit length of this
system.
25. A rectangular parallel-plate capacitor of length a and width b has a dielectric of width b
partially inserted a distance x between the plates, as shown in Figure . (a) Find the
capacitance as a function of x. Neglect edge effects. (b) Show that your answer gives the
expected results for x = 0 and x = a
26. The two capacitors shown in Figure have capacitances C1 = 0.4 µ and C2 = 1 .2 µF. The
voltages across the two capacitors are V1 and V2, respectively, and the total stored energy
in the two capacitors is 1.14 mJ. If terminals band c are connected together, the voltage is
4
ADAMA SCIENCE AND TECHNOLOGY UNIVERSITY
2020
Va - Vd = 80 V; if terminal a is connected to terminal b, and terminal c is connected to
terminal d, the voltage Va - Vd = 20 V Find the initial voltages V1 and V2
d
27. Two spheres have radii a and b, and their centers are a distance d apart. Show that the
capacitance of this system is
4πεο
C =
1
1
2
a
b
d
provided d is large compared with a and b. Suggestion: Because the spheres are far
assume the potential of each equals the sum of the potentials due to each sphere. (b)
Show that as d approaches infinity, the above result reduces to that of two spherical
capacitors in series
28. Calculate the equivalent capacitance between points a and b in Figure P26.77. Notice that
this system is not a simple series or parallel combination. Suggestion: Assume a potential
difference AV between points a and b. Write expressions for AV in terms of the charges
and capacitances for the various possible pathways from a to b and require conservation
аpart,
of charge for those capacitor plates that are connected to each other.
a
4.00 µF
2.00 μF 18.00 μF |
T4.00 µF
2.00 μF
29. A parallel-plate capacitor in air has a plate separation of 1.50 cm and a plate area of 25.0
cm2. The plates are charged to a potential difference of 250 V and disconnected from the
source. The capacitor is then immersed in distilled water. Assume the liquid is an
insulator. Determine (a) the charge on the plates before and after immersion, (b) the
capacitance and potential difference after immersion, and (c) the change in energy of the
сараcitor.
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