39. Two square plates of sides € are placed parallel to each other with separation d as suggested in Figure P25.39. You may assume d is much less than €. The plates carry uniformly distributed static charges +Qo and -Qo. A block of metal has width €, length €, and thickness slightly less than d. It is inserted a distance x into the space between the plates. The charges on the plates remain uniformly distributed as the block slides in. In a static situation, a metal prevents an electric field from penetrating inside it. The metal can be thought of as a perfect dielectric, with x→. (a) Calculate the stored energy in the system as a function of x. (b) Find the direction and magnitude of the force that acts on the metallic block. (c) The area of the advancing front face of the block is essentially equal to ld. Considering the force on the block as acting on this face, find the stress (force per area) on it. (d) Express the energy density in the electric field between the charged plates in terms of Qo, €, d, and Eo. (e) Explain how the answers to parts (c) and (d) compare with each other +++Qo d Qo Figure P25.39|

39. Two square plates of sides € are placed parallel to each other with separation d as suggested in Figure P25.39. You may assume d is much less than €. The plates carry uniformly distributed static charges +Qo and -Qo. A block of metal has width €, length €, and thickness slightly less than d. It is inserted a distance x into the space between the plates. The charges on the plates remain uniformly distributed as the block slides in. In a static situation, a metal prevents an electric field from penetrating inside it. The metal can be thought of as a perfect dielectric, with x→. (a) Calculate the stored energy in the system as a function of x. (b) Find the direction and magnitude of the force that acts on the metallic block. (c) The area of the advancing front face of the block is essentially equal to ld. Considering the force on the block as acting on this face, find the stress (force per area) on it. (d) Express the energy density in the electric field between the charged plates in terms of Qo, €, d, and Eo. (e) Explain how the answers to parts (c) and (d) compare with each other +++Qo d Qo Figure P25.39|

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Н. W. 1. How much work is done to assemble eight identical point charges, each of magnitude q, at the corners of a cube of side a? 2. Three charges with q= 3x10 C and q= 6x10° C are placed on the x-axis, as shown in the figure. The distance between g and gi is a = 0.600 m. a a (a) What is the net force exerted on q by the other two charges q1? (b) What is the electric field at the origin due to the two charges q1? (c) What is the electric potential at the origin due to the two charges q1?
A downward electric force of 3.6N is exerted on a −7.6μC charge. A. Find the magnitude of the electric field at the position of this charge. Express your answer to two significant figures and include the appropriate units. B. What is the direction of the electric field at the position of this charge? Downward or upward?
A gold nucleus emanates an electric field, holding all its electrons in place. How strong is the electric field experienced by a single electron from its outermost orbital, located at 136 pm? How fast is it moving on its circular orbit, assuming it has a hypothetical plane orbit? How much kinetic energy is gained by the electron?
3. a. A plate has a charge of 4 µC and a surface area of 0.3 m². 0.02 m - + 0.01 m + + Q1 = -1 μC + G₁=3F + + + + What is the electric field 0.01 m away from the plate? a. How much work is required to move a-1 μC charge from 0.01 to 0.02 m² Q = +4 μC A=0.3 m² Given the following configuration of capacitors G=2F
60.0 magnitude direction 0.500 mm (a) Red blood cells often become charged and can be treated as point charges. Healthy red blood cells are negatively charged, but unhealthy cells (due to the presence of a bacteria, for example) can become positively charged. In the figure, three red blood cells are oriented such that they are located on the corners of an equilateral triangle. The red blood cell charges are A = 2.30 pC, B = 7.30 pC, and C= -3.90 pC. Given these charges, what would the magnitude and direction of the electric field be at cell A? (1 pC = 1 x 10-¹2 C.) N/C counterclockwise from the +x-axis.
ST At a distance of 48.7 cm from a very long (essentially infinite) uniform line of charge, the electric field strength is 1,866 N/C. At what distance (in cm) from the line will the field strength be equal to 811 N/C? X
esc The nucleus of a 125 Xe atom (an isotope of the element xenon with mass 125 u) is 6.0 fm in diameter. It has 54 protons and charge q = +54e. R 2 R F2 W # 3 80 E $ 4 R Part A What is the electric force on a proton 2.6 fm from the surface of the nucleus? Hint: Treat the spherical nucleus as a point charge. Express your answer with the appropriate units. F= 8.64 Part B μÃ 1 Submit Previous Answers Request Answer % 5 X Incorrect; Try Again; 4 attempts remaining F5 What is the proton's acceleration? Express your answer with the appropriate units. Value T → HA N 6 C FIC ? Units MacBook Air Y & 7 U * 8 FB ( 9 F9 0 0 P + Review
Two 3.7-g spheres are suspended by 13.5-cm-long light strings (see the figure). A uniform electric field is applied in the x-direction. If the spheres have charges of -4.5 x 10-8 C and +4.5 x 10-8 C, determine the electric field intensity that enables the spheres to be in equilibrium at 8 16°. N/C Ē @ A
Charge of a uniform density (7 pC/m²) is distributed over the entire xy plane. A charge of uniform density (10 pC/m) is distributed over the parallel plane defined by z = 2.0 m. Determine the magnitude of the electric field for any point with z = 3.0 m. A. 0.1695 N/C B. 0.339 N/C C.0.4802 N/C D. 1.921 N/C E. 0.9605 N/C
Two large parallel copper plates are 7.39 cm apart and have a uniform electric field of magnitude E = 3.44 N/C between them (see the figure). An electron is released from the negative plate at the same time that a proton is released from the positive plate. Neglect the force of the particles on each other and find their distance from the positive plate when they pass each other. Positive Negative plate plate P E Number i Units
Item 6 The electric field between the plates of a parallel-plate capacitor is horizontal, uniform, and has a magnitude E. Asmall object with a charge of -2.10 μC is attached to the string. The tension in the string is 0.410 N, and the angle it makes with the vertical is 16 °. Part A What is the mass of the object? m = Submit Part B E = —| ΑΣΦ What is the magnitude of the electric field? Submit Request An ΠΙΑΣΦ Request Answer ? ? g N/C
Four charges (Q1, Q2, Q3, and Q4) sit at the corners of a square with sides of length a = 3.00m. If you are allowed to adjust the charges to any non-zero value (positive or negative), what is the maximum number of those four charges that you can give a net electrical force of zero? What do the charges have to be to give the most charges zero net force? Q₁ ļ ļ Q₁