QUICK QUIZ 24.2 The labeled points in Figure 24.4 are on a series of equipotential surfaces associated with an electric field. Rank (from greatest to least) the work done by the electric field on a positively charged particle that moves from Ⓐ to Ⓑ, from Ⓑ to ©, from © to Ⓓ, and from Ⓓ to Ⓔ.
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Chapter 24 Solutions
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- NOTE: Practice personal hygiene protocols at all times 144 Activity 1: Solve it! Directions: Solve the following problems systematically. Write your answer on the space orovided. . A capacitor consists of two square metal plates, each measuring 5.00x10-2 m on a side. In between the plates is a sheet of mica measuring 1.00x10-4 m thick. (a) What is the capacitance of this capacitor? If the charge in one plate is 2.00×10C, what is the (b) potential difference and (c) electric field between the plates?arrow_forwardCapacitors in Series Learning Goal: To understand how to calculate capacitance, voltage, and charge for a combination of capacitors connected in series. Consider the combination of capacitors shown in the figure. (Figure 1) Three capacitors are connected to each other in series, and then to the battery. The values of the capacitances are C, 2C, and 3C, and the applied voltage is AV. Initially, all of the capacitors are completely discharged; after the battery is connected, the charge on plate 1 is Q. Figure +Q 15 C -T 12 2C 34 L AV 3C 56 ▾ Part A What are the charges on plates 3 and 6? ▸ View Available Hint(s) O +2 and +Q O-Q and Q Q+Qand-Q O-Q and +Q O 0 and +Q O 0 and Q Submit Part B If the voltage across the first capacitor (the one with capacitance C) is AV₁, then what are the voltages across the second and third capacitors? ▸ View Available Hint(s) O2AV₁ and 3AV OAV₁ and AVI O AV₁ and AV O 0 and AVI Avi Submit Part C Find the voltage AV₁ across the first capacitor Express your…arrow_forwardMonday Homework Problem 5.1 For the spherical system to the right, the dielectric constant of the dielectric is = 2. The inner object is a conductor with total charge +Q. The field map of the system is drawn. Is the potential difference along the dashed path positive, negative, or zero? Select One of the Following: (a) positive (b) negative (c) zero dielectric air +Qarrow_forward
- Problem Solving. Show your pertinent solution and BOX your final answer.1. What is the electric potential at a distance of 3.5 × 10-11 m from a proton?2. Find the magnitude of a p m away from it. What is the electricpotential at this distance?3. A 4.5 C charge requires an 8.0 J to move it from point X to Y, where the potentialdifference is 1.5 V. Calculate (a) the potential difference between points X and Y. (b) thepotential at point Y.4. The charge of a point charge is 2.50 x 10 -11 C. Find the distance from the point chargewhere the electric potential is calculated as a) 90.0 V b) 30.0 Varrow_forwardShow all your work. Pay attention to the number of significant digits. The uniform electric field 240N/C [right] performs work of 3.0J by moving a particle with the charge -0.61C from point of A to point B. a- Determine the electrical potential difference between final and initial point. b-What is the particle displacement (the magnitude and the direction)? 2.Two protons start at rest with a separation of 5.3x10-10 m. One of the protons is released and starts accelerating away from the second proton. Calculate the maximum velocity of the moving proton.arrow_forwardPRACTICE EXERCISE 6.1 In a one-dimensional device, the charge density is given by p, = Potla. If E = 0 at x = 0 and V=0 at x a, find V and E. %3Darrow_forward
- Task 3: Electric potential energy and electric potential 1. Examine the charge distribution shown. Sphere 1 has a charge of +3.0 x 10-4 C; sphere 2 has a charge of -3.0 × 10-4 C; and sphere 3 has a charge of +3.0 × 10-4 C. Assume that Coulomb's constant, (k) is equal to 9.0 × 10⁹ Nm² Show all your work when completing each of these questions. 9₁ 4.24 m 3.00 m N 3.00 m 4.24 m 3.00 m 93 a. Determine the total electric potential energy for the charge distribution. b. Determine the total electric potential at point Z.arrow_forwardcombination of capacitors shown in Figure 26.9a. All braic sum of the inverses of the individual capacitances and (2) the equivalent capacitance of a series combination is always less than any individual capacitance in the combination. ent capacitance is Quick Quiz 26.3 Two capacitors are identical. They can be connected in serie or in parallel. If you want the smallest equivalent capacitance for the combination how should you connect them? (a) in series (b) in parallel (c) either w because both combinations have the same capacitance EXAMPLE 26.3 nd the equivalent capacitance between a and b for the Equivalent Capacitance 4.0 µFi 4.0 4.0 2.0 capacitances are in microfarads. 3.0 SOLUTION b a Conceptualize Study Figure 26.9a carefully and make sure you understand how the capacitors are connected. , 8.0 8.0 8.0 4.0 Categorize Figure 26.9a shows that the circuit con- ains both series and parallel connections, so we use the ales for series and parallel combinations discussed in is section.…arrow_forwardThe capacitors in Sample Problem 2.6 item number 3 are connected in parallel instead of being in series. The combination is connected to a 100 V line. Find the (a) total capacitance, (b) charge stored in each capacitor, and (c) potential difference across each capacitor.arrow_forward
- Practice Exercise 2 The radius of the outer sphere of a spherical capacitor is five times the radius of its inner shell. What are the dimensions of this capacitor if its capacitance is 5.00 pF?arrow_forwardShow your complete and detailed solution. Box your final answer. 1. Consider an infinite positively charged rod with charged density aligned along the x-axis. Point P is positioned at a distance a away from the rod along the y-axis. (a) calculate the total electric field at point P by the segment of length dx, and (b) using the result in first question (letter a), derive an expression for electric potential between point P and P'. dx' y ס P P' dx Xarrow_forwardPractice Exercise 2.1 A point particle of charge 2.5 nC and mass 3.25 x10-3 kg is in a uniform electric field directed to the right. It is released from rest and moves to the right. After it has traveled 12.0 cm, its speed is 25 m/s. Find the (a) work done on the particle, (b) change in the electric potential energy of the particle, and (c) magnitude of the electric field.arrow_forward
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