FIGURE Q26.10 shows a 3 V battery with metal wires attached to each end. What are the potential differences
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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
- Figure 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_forwardA Pairs of parallel wires or coaxial cables are two conductors separated by an insulator, so they have a capacitance. For a given cable, the capacitance is independent of the length if the cable is very long. A typical circuit model of a cable is shown in Figure P27.87. It is called a lumped-parameter model and represents how a unit length of the cable behaves. Find the equivalent capacitance of a. one unit length (Fig. P27.87A), b. two unit lengths (Fig. P27.87B), and c. an infinite number of unit lengths (Fig. P27.87C). Hint: For the infinite number of units, adding one more unit at the beginning does not change the equivalent capacitance.arrow_forwardAn 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_forward
- Given 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_forwardThree capacitors are connected to a battery as shown in Figure P26.22. Their capacitances are C = 3C, C2 = C, and C3 = 5C. Figure P26.22 (a) What is the equivalent capacitance of this set of capacitors (in terms of C)? Ceq (b) State the ranking of the capacitors according to the charge they store, from largest to smallest. >Q > Qarrow_forwardTwo capacitors C1 = 2 nF, and C2 = 4 nF are connected in series to a 10V battery. The two capacitors are fully charged. What is the energy (expressed in "nJ") stored in capacitor C1?arrow_forward
- What is |λ|? A very long wire carries a uniform linear charge density λ. Using a voltmeter to measure potential difference, you find that when one probe of the meter is placed 4.90 cm from the wire and the other probe is 3.10 cm farther from the wire, the meter reads 620 V.arrow_forwardA pair of capacitors C1 = 39.0 µC and C2 = 24.0 µC are connected to a battery V = 54.0 V and a switch. The capacitors are initially uncharged. After the switch has been closed and the capacitors are fully charged, what is the ratio V2/Vị of the voltages across the capacitors, where Vị is the voltage across C1 and V2 is the voltage across C2? C1 C2 Vp O (a) 0.615 O (b) 1.62 O (c) 0.379 O (d) 2.64 О (e) 1arrow_forwardThree capacitors are connected as shown in the figure. C1 = 4.4 μF, C2 = 14.4 μF, C3 = 2.1 μF. The voltage on the battery is 12 V. Part (a) Express the equivalent capacitance of the two capacitors C1 and C2 in terms of the variables given in the problem statement. C12 = C1 + C2 ✔ Correct! Part (b) Using the above result, express the total capacitance in terms of C12 and C3. C = ( C3 C12 )/( C3 + C12 ) ✔ Correct! c. Calculate the numerical value of the total capacitance in μF. d. Express the charge Q stored in the circuit in terms of capacitance C and the potential difference ΔV across the battery. Q = C ΔV ✔ Correct! e. Calculate the numerical value of Q in μC. (f) Express the energy stored in a capacitor in terms of capacitance C and the potential difference ΔV. (g) Calculate the numerical value of U in μJ. I need help with c, d, e, f, and garrow_forward
- The battery capacity of a lithium ion battery in a digital music player is 750 mA-h. The manufacturer claims that the player can operate for eight hours if the battery is initially fully charged. Given this information, determine the number of electrons that flow through the player as you listen to your favorite songs for three hours.arrow_forwardTwo capacitors C₁ = 4 μF and C₂ = 6 µF are connected in series across a 5V battery and charged. What is the total energy stored on the capacitors when fully charged?arrow_forwardA 10.0-µF capacitor is charged to 15.0 V. It is next connected in 5.00раF 10.0 µF series with an uncharged 5.00-µF capacitor. The series combina- tion is finally connected across a 50.0-V battery as diagrammed in Figure P26.63. Find the new potential differences across the 5.00-рF and 10.0-иF сараcitors after the switch is thrown closed. AV; = 15.0 V + 50.0 Varrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning