14. A region of space has a uniform electric field withstrength E = 300 V/m. A flat conducting plate, ofthickness d=1 cm, is placed perpendicular to thisfield, as indicated by the shaded area shown. Ifthe plate has zero net charge, calculate the surfacecharge densities on both surfaces of the plate (i.e.right and left surfaces in the diagram) after it isplaced in the field.21

Answered: 14. A region of space has a uniform…

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)...

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6. a non-conducting rod of length L has a charge of -q which is uniformly distributed across its length. (a) What is the linear charge density of the rod? (b) What is the electric field at point P which is still in the straight line connecting the non-conducting material, the distance x from the end of the rod?
4. Three conductor plates (Figure 2) are placed vertically and loaded Q1, Q2, and Q3 charges respectively. Both the sides of plates have surface charge density σ and σb (i=1, 2, and 3). If the surface area of each plate is A and the distance between plates is t, then calculate the surface charge densities σ, and σ for each plate. Note: consider that the plate is large enough to use infinitive symmetry approach. 01a 01b 02a 02b Оза 03b Q1 Q2 Q3 Figure 4
1. Two thin conducting plates, each 30 cm on a side, are situated parallel to one another and 5 mm apart. If 1.3.10¹2 electrons are moved from one plate to the other, what is the electric field between the plates? (a) In your notebook, draw the two conducting plates and draw the electric field lines between the plates. How is the electric field directed? v (b) Calculate the surface charge density of the plates. C/m 0= (c) What is the electric field between the plates? E= N/C 2
2. Suppose that charge #1 is positioned at the origin (x = 0 m, y = 0 m) and has a magnitude of +2.6 μC, and that charge #2 is positioned on the y-axis at y = 0.16 m and has a magnitude of -4.3 µC. Find the x- and y-components of the electric field on the x-axis at x = 0.21 m. Also, find the x- and y-components of the force on a charge of +6.3 nC placed at this point (x = 0.21 m).
9. The electron in the diagram is released from rest in a uniform electric field that is 1.55×10ʻN/C. The electron accelerates over the plate separation of 2 cm before it is fired through the hole in the right hand plate. With what speed does the electron exit the field?
10. An electron, inside an electric field region between two parallel plates as shown below, is projected upward at a speed of vo = 5.83 x 10€ m/s and at an angle of 0 = 39.0°; E = 1870 N/C (directed upward), d = 1.97 cm, and L = 6.20 cm. Will the electron strike one of the two plates? If yes, which plate will it stike and at what distance from the left edge? 1 vo d. + + + + + + + + + +
2. Two small, neutral conducting spleres are placed on the x-axis at x = −5.0 m and at x = +5.0 m respectively. A negative point charge is placed on the x-axis. What is the direction of the net force on the point charge is it is placed in each of the 4 regions or at the origin? Answer: left, right, or zero for each of the following. Region 1 Region 2 Origin Region 3 Region 4 Region 1 Region 2 Origin Region 3 Region 4 X
10. A point charge (Q) is located in a hollow ca- vity which is inside of a conductor ; we note that the conductor has no excess charge. In the figure, let V, , Vý ,Ve and Va be the poten- tials at points “a", “b", “e" and “d" respec- tively. If Q is positive then which answer choice gives correct information? a. V, > V, ; V, V, ; V, > V, c. V, = V, ; V, = V, d. V, V.
1. A solid sphere of radius R is made of a metallic conductor. Another solid sphere of radius R is made of an insulating material. An excess charge Q is deposited on each. Which object has the greatest surface charge density? 2. A solid sphere of radius R is made of a metallic conductor. A hollow spherical shell of the same radius R is made of the same conducting material. An excess charge Q is deposited on each. Which object has the greatest surface charge density?

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