Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
4th Edition
ISBN: 9780134110684
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
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Chapter 26, Problem 55EAP
Find expressions for the equivalent capacitance of (a) N identical
capacitors C in parallel and (b) N identical capacitors C in series.
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You measure the capacitance Cı of a capacitor by
doing the following: First connect capacitors C1
and C2 in series to a power supply that provides a
voltage V that can be varied. The capacitance of
C2 is known to be 5.00 µF. Then vary the applied
voltage V, and for each value of V measure the
voltage V2 across C2. After plotting your data as
V2 versus V, you find that the data fall close to a
straight line that has slope 0.650.
What is the capacitance C1?
Express your answer with the appropriate units.
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You measure the capacitance C1 of a capacitor by doing the following: First connect capacitors C1 and C2 in series to a power supply that provides a voltage V that can be varied. The capacitance of C2 is known to be 3.00 mF. Then vary the applied voltage V, and for each value of V measure the voltage V2 across C2. After plotting your data as V2 versus V, you find that the data fall close to a straight line that has slope 0.650. What is the capacitance C1?
How many possible values of capacitance can be obtained from connecting either 2 or 3 capacitors in series, parallel, or any connections thereof given the values 2 uF, 1 uF, and 3 uF? What are these values in uF.
Chapter 26 Solutions
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Ch. 26 - l. FIGURE Q26.1 shows the x-component of E as a...Ch. 26 - Prob. 2CQCh. 26 - a. Suppose that E =0 V/m throughout some region of...Ch. 26 - Estimate the electric fields and at points 1 and 2...Ch. 26 - Estimate the electric fields and E2 t points 1 and...Ch. 26 - Prob. 6CQCh. 26 - Prob. 7CQCh. 26 - FIGURE Q26.8 shows a negatively charged...Ch. 26 - Prob. 9CQCh. 26 - FIGURE Q26.10 shows a 3 V battery with metal wires...
Ch. 26 - The parallel-plate capacitor in FIGURE Q26.11 is...Ch. 26 - Rank in order, from largest to smallest, the...Ch. 26 - I. What is the potential difference between xi= 10...Ch. 26 - Il What is the potential difference between yi= —5...Ch. 26 - Il FIGURE EX26.3 is a graph of Ex. What is the...Ch. 26 - Il FIGURE EX26.4 is a graph of Ex The potential at...Ch. 26 - Prob. 5EAPCh. 26 - Prob. 6EAPCh. 26 - Prob. 7EAPCh. 26 - I What are the magnitude and direction of the...Ch. 26 - FIGURE EX26.9 shows a graph of V versus x in a...Ch. 26 - Prob. 10EAPCh. 26 - Prob. 11EAPCh. 26 - FIGURE EX26.12 is a graph of V versus x. Draw the...Ch. 26 - Prob. 13EAPCh. 26 - Prob. 14EAPCh. 26 - Prob. 15EAPCh. 26 - Prob. 16EAPCh. 26 - How much work does the charge escalator do to move...Ch. 26 - How much charge does a 9.0 V battery transfer from...Ch. 26 - How much work does the electric motor of a Van de...Ch. 26 - Prob. 20EAPCh. 26 - Two 3.0cm diameter aluminum electrodes are spaced...Ch. 26 - What is the capacitance of the two metal spheres...Ch. 26 - Prob. 23EAPCh. 26 - Prob. 24EAPCh. 26 - 25. A capacitor, a capacitor, and a capacitor
...Ch. 26 - Prob. 26EAPCh. 26 - What is the equivalent capacitance of the three...Ch. 26 - What is the equivalent capacitance of the three...Ch. 26 - You need a capacitance of 50F , but you don't...Ch. 26 - You need a capacitance of 50F , but you don't...Ch. 26 - To what potential should you charge a 1.0F...Ch. 26 - 50pJ of energy is stored in a 2.0cm2.0cm2.0cm...Ch. 26 - A 2.0-cm-diameter parallel-plate capacitor with a...Ch. 26 - The capacitor in a defibrillator unit supplies an...Ch. 26 - Prob. 35EAPCh. 26 - Prob. 36EAPCh. 26 - A typical cell has a layer of negative charge on...Ch. 26 - The electric field in a region of space is...Ch. 26 - Ill The electric field in a region of space is...Ch. 26 - An infinitely long cylinder of radius R has linear...Ch. 26 - Prob. 41EAPCh. 26 - Prob. 42EAPCh. 26 - a. Use the methods of Chapter 25 to find the...Ch. 26 - Prob. 44EAPCh. 26 - Engineers discover that the electric potential...Ch. 26 - The electric potential in a region of space is...Ch. 26 - Prob. 47EAPCh. 26 - Prob. 48EAPCh. 26 - Prob. 49EAPCh. 26 - Prob. 50EAPCh. 26 - Prob. 51EAPCh. 26 - Prob. 52EAPCh. 26 - Prob. 53EAPCh. 26 - Two 2.0 cm × 2.0 cm metal electrodes are spaced...Ch. 26 - Find expressions for the equivalent capacitance of...Ch. 26 - What are the charge on and the potential...Ch. 26 - What are the charge on and the potential...Ch. 26 - Prob. 58EAPCh. 26 - Prob. 59EAPCh. 26 - Six identical capacitors with capacitance C are...Ch. 26 - Prob. 61EAPCh. 26 - A battery with an emf of 60 V is connected to the...Ch. 26 - Prob. 63EAPCh. 26 - Prob. 64EAPCh. 26 - Prob. 65EAPCh. 26 - Prob. 66EAPCh. 26 - Prob. 67EAPCh. 26 - Prob. 68EAPCh. 26 - Prob. 69EAPCh. 26 - Prob. 70EAPCh. 26 - Prob. 71EAPCh. 26 - Prob. 72EAPCh. 26 - Prob. 73EAPCh. 26 - Prob. 74EAPCh. 26 - In Problems 75 through 77 you are given the...Ch. 26 - Prob. 76EAPCh. 26 - Prob. 77EAPCh. 26 -
78. Two 5.0-cm-diameter metal disks separated by...Ch. 26 - Prob. 79EAPCh. 26 - Charge is uniformly distributed with charge...Ch. 26 - Consider a uniformly charged sphere of radius R...Ch. 26 - Prob. 82EAPCh. 26 - Prob. 83EAP
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- What If? The two capacitors of Problem 13 (C1 = 5.00 F and C2 = 12.0 F) are now connected in series and to a 9.00-Y battery. Find (a) the equivalent capacitance of the combination. (b) the potential difference across each capacitor, and (c) the charge on each capacitor.arrow_forwardGiven the arrangement of capacitors in Figure P27.23, find an expression for the equivalent capacitance between points a and b. Figure P27.23 Problems 23 and 24.arrow_forwardFind the equivalent capacitance between points a and b in the combination of capacitors shown in Figure P20.51. Figure P20.51arrow_forward
- An arrangement of capacitors is shown in Figure P27.23. a. If C = 9.70 105 F, what is the equivalent capacitance between points a and b? b. A battery with a potential difference of 12.00 V is connected to a capacitor with the equivalent capacitance. What is the energy stored by this capacitor? Figure P27.23 Problems 23 and 24.arrow_forwardThe capacitances of three capacitors are in the ratio 1:2:3. Their equivalent capacitance when all three are in parallel is 120.0 pF greater than when all three are in series. Determine the capacitance of each capacitor.arrow_forwardFigure P27.75 shows four capacitors with CA = 4.00 F, CB = 8.00 F. CC = 6.00 F. and CD = 5.00 F connected across points a and b, which have potential difference Vab = 12.0 V. a. What is the equivalent capacitance of the four capacitors? b. What is the charge on each of the four capacitors?arrow_forward
- (i) A battery is attached to several different capacitors connected in parallel. Which of the following statements is true? (a) All capacitors have the same charge, and the equivalent capacitance is greater than the capacitance of any of the capacitors in the group, (b) The capacitor with the largest capacitance carries the smallest charge, (c) The potential difference across each capacitor is the same, and the equivalent capacitance is greater than any of the capacitors in the group. (d) The capacitor with the smallest capacitance carries the largest charge. (e) The potential differences across the capacitors are the same only if the capacitances are the same, (ii) The capacitors are reconnected in series, and the combination is again connected to the battery. From the same choices, choose the one that is true.arrow_forwardFour capacitors are connected as shown in Figure P20.45. (a) Find the equivalent capacitance between points a and b. (b) Calculate the charge on each capacitor, taking Vab = 15.0 V. Figure P20.45arrow_forwardA parallel-plate capacitor has square plates of side s = 2.50 cm and plate separation d = 2.50 mm. The capacitor is charged by a battery to a charge Q = 4.00 C, after which the battery is disconnected. A porcelain dielectric ( = 6.5) is then inserted a distance y = 1.00 cm into the capacitor (Fig. P27.88). Hint: Consider the system as two capacitors connected in parallel. a. What is the effective capacitance of this capacitor? b. How much energy is stored in the capacitor? c. What are the magnitude and direction of the force exerted on the dielectric by the plates of the capacitor? Figure P27.88arrow_forward
- (a) Find the equivalent capacitance between points a and b for the group of capacitors connected as shown in Figure P25.12 (page 686). Take C1 = 5.00 F, C2 = 10.0 F, and C3 = 2.00 F. (b) What charge is stored on C3 if the potential difference between points a and b is 60.0 V? Figure P25.12arrow_forward(a) Find the equivalent capacitance between points a and b for the group of capacitors connected as shown in Figure P20.44. Take C1 = 5.00 F, C2 = 10.0 F, and C3 = 2.00 F. (b) What charge is stored on C3 if the potential difference between points a and b is 60.0 V? Figure P20.44arrow_forwardA capacitor stores charge Q at a potential difference V. What happens if the voltage applied to a capacitor by a battery is doubled to 2 V? (a) The capacitance falls to half its initial value, and the charge remains the same. (b) The capacitance and the charge both fall to half their initial values. (c) The capacitance and the charge both double. (d) The capacitance remains the same, and the charge doubles.arrow_forward
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