Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337671729
Author: SERWAY
Publisher: Cengage
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Chapter 25, Problem 44AP
To determine
The claim mathematically that increasing
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A laboratory capacitor consists of two parallel conducting plates, each
with area of 200 cm² separated by a 0.40-cm air gap.
a. Compute its capacitance
b. If the capacitor is connected across a 500-V source, find the charge
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Ex. 67: Three capacitors have capacitance 2 uF,
4 µF and 8 µF. Find the equivalent capacity
when they are connected in (1) series and
(2) Parallel.
Capacitance
Problem 7: Consider a spherical metal shell of radius R in empty space.
Part (b) Calculate the capacitance, in picofarads, of such a conductor with a radius of R = 0.058 m.
Chapter 25 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 25.1 - A capacitor stores charge Q at a potential...Ch. 25.2 - Many computer keyboard buttons are constructed of...Ch. 25.3 - Two capacitors are identical. They can be...Ch. 25.4 - You have three capacitors and a battery. In which...Ch. 25.5 - If you have ever tried to hang a picture or a...Ch. 25 - (a) When a battery is connected to the plates of a...Ch. 25 - Two conductors having net charges of +10.0 C and...Ch. 25 - When a potential difference of 150 V is applied to...Ch. 25 - An air-filled parallel-plate capacitor has plates...Ch. 25 - Prob. 5P
Ch. 25 - Review. A small object of mass m carries a charge...Ch. 25 - Find the equivalent capacitance of a 4.20-F...Ch. 25 - Prob. 8PCh. 25 - A group of identical capacitors is connected first...Ch. 25 - Three capacitors are connected to a battery as...Ch. 25 - Four capacitors are connected as shown in Figure...Ch. 25 - (a) Find the equivalent capacitance between points...Ch. 25 - Find the equivalent capacitance between points a...Ch. 25 - You are working at an electronics fabrication...Ch. 25 - Two capacitors give an equivalent capacitance of...Ch. 25 - Prob. 16PCh. 25 - A 3.00-F capacitor is connected to a 12.0-V...Ch. 25 - Prob. 18PCh. 25 - Prob. 19PCh. 25 - Two identical parallel-plate capacitors, each with...Ch. 25 - Two capacitors, C1 = 25.0 F and C2 = 5.00 F, are...Ch. 25 - A parallel-plate capacitor has a charge Q and...Ch. 25 - Prob. 23PCh. 25 - Prob. 24PCh. 25 - Determine (a) the capacitance and (b) the maximum...Ch. 25 - The voltage across an air-filled parallel-plate...Ch. 25 - Prob. 27PCh. 25 - Each capacitor in the combination shown in Figure...Ch. 25 - Prob. 29PCh. 25 - An infinite line of positive charge lies along the...Ch. 25 - Prob. 31PCh. 25 - Prob. 32PCh. 25 - Prob. 33APCh. 25 - Four parallel metal plates P1, P2, P3, and P4,...Ch. 25 - A uniform electric field E = 3 000 V/m exists...Ch. 25 - Two large, parallel metal plates, each of area A,...Ch. 25 - A parallel-plate capacitor with vacuum between its...Ch. 25 - Why is the following situation impossible? A...Ch. 25 - Two square plates of sides are placed parallel to...Ch. 25 - (a) Two spheres have radii a and b, and their...Ch. 25 - Prob. 41APCh. 25 - A parallel-plate capacitor of plate separation d...Ch. 25 - To repair a power supply for a stereo amplifier,...Ch. 25 - Prob. 44APCh. 25 - You are part of a team working in a machine parts...Ch. 25 - Consider two long, parallel, and oppositely...Ch. 25 - Some physical systems possessing capacitance...Ch. 25 - A parallel-plate capacitor with plates of area LW...Ch. 25 - A capacitor is constructed from two square,...Ch. 25 - This problem is a continuation of Problem 45. You...
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- solve correctly. I will rate accordingly.arrow_forwardA long cylindrical capacitor. Q=- AL = -o 2nr, L E=0 E=0 Q=+ÀL = +o 2ar,L Figure 1: 1. Two long, coaxial cylindrical conductors are separated by vacuum (Fig. 24.6). The inner cylinder has radius ra and linear charge density A. The outer cylinder has inner radius r, and linear charge density -A. (a) The capacitance per unit length for this capacitor. AL 55.6 x 10-12 F/m In "h Q AL C = %3D (True, False) Va - Vb Sra Edr dr Σπερ A In "h In "h ra In ra ra (b) The potential difference V = Va - V is: V = Va - V = Edr = dr 3= In 2TEO (True, False) 2neor ra (c) If (b) is true then A = 2*En(Va-Vh) and therefore Vr - Va = S"a Edr = A- In "a = Va – V, In a In ra In ra (d) The potential Va relative to infinity is Va - Vo = | = Va - V, Edr = Edr + E dr = dr = In 2neor ra - In ra it follows that if the potential at infinity is set to zero then V, = 0 and hence Va = V and therefore if (c) is true V, = V+ In ra (True, False) (e) If the potential at infinity is set to zero then the potential V, = V + ,…arrow_forwardTwo capacitors C1 = (7.10x10^-6) F and C2 = (1.001x10^3) nF are connected in parallel. Find the equivalent capacitance of the setup. Report the answer in U F to 3 significant figures.arrow_forward
- In the figure (Figure 1), let C1=1.00μF, C2=2.00μF, C3=4.00μF, and V=36.0V. What is the potential difference across each capacitor?Enter your answers numerically separated by commas. V1,V2,V3=?arrow_forwardPROBLEM 1: A capacitor is composed of 2 plates separated by a sheet of insulating material 2mm thick and of relative permittivity 3. The distance between the plates is increased to allow the insertion of a second sheet of 3mm thick and of relative permittivity ɛ,. If the equivalent capacitance is one-half of the original capacitance, find the value of ɛ,.arrow_forward1arrow_forward
- Consider a 15.2uF capacitor (a) What potential difference across its plates will cause it to have a charge of 1x10 °C, (b) how much energy does it contain? icarrow_forwardLong Problem. For the four capacitors shown in the diagram, C, = 2C, C2 = 3C, C3 = C, and C4 = 2C where C = 1.5 µF. (Note:1µF = 1 x 10-6 F.) The voltage of the battery is AV = 4.0 V. + AV C3| CA a) Calculate the equivalent capacitance to the 4 capacitors. Be clear in your work. If you assume certain capacitors are in series or in parallel, say so. b) Find the charges on the 4 capacitors, Q1. Q2. Q3 and Q4. and the voltages across the 4 capacitors, AV1, AV2, AV3, and AV4. Be clear in your work.arrow_forwardA capacitor has circular parallel plates that have a radius of 3.00cm and are seperated by 4.00mm. The space between the plates is filled with polycarbonate (k=2.8, E_Max=3.00x10^7 V/m) 3a. Find the permittivity of polycarbonate. 3b. Find the maximum permissible voltage across the capacitor to avoid dielectric breakdown. 3c. Look at the image for details about 3c.arrow_forward
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