Figure ( a ) shows a narrow charged solid cylinder that is coaxial with a larger
ID: 2271464 • Letter: F
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Figure (a) shows a narrow charged solid cylinder that is coaxial with a larger charged cylindrical shell. Both are nonconducting and thin and have uniform surface charge densities on their outer surfaces. Figure (b) gives the radial component E of the electric field versus radial distance r from the common axis. The vertical axis scale is set by Es = 4.4
Figure (a) shows a narrow charged solid cylinder that is coaxial with a larger charged cylindrical shell. Both are nonconducting and thin and have uniform surface charge densities on their outer surfaces. Figure (b) gives the radial component E of the electric field versus radial distance r from the common axis. The vertical axis scale is set by Es = 4.4 times 103 N/C. What is the linear charge density of the shell?Explanation / Answer
Q1 = 1 ?C, Q2 = ?2 ?C, Q3 = 1?C, and Q4 = 2?C, what is the magnitude of the net force on Q4? Answer: 11.4 N Solution: Make a table showing the components of each of the forces and then add the components. F on 4 by 1 0 ?k(1?C)(2?C)/(3cm)2 F on 4 by 2 +0.8k(2?C)(2?C)/(5cm)2 +0.6k(2?C)(2?C)/(5cm)2 F on 4 by 3 ?k(1?C)(2?C)/(4cm)2 0 F total -0.27 N -11.36 N The directions were obtained using opposite charges attract and like charges repel. The factors of 0.8 and 0.6 are the trigonometric factors to determine the x- and y-components. The magnitude of the force is qF2 x + F2 y . 2. Five charges of magnitude e and sign indicated in the figure are placed on a line. The separation between the charges is d. What is the magnitude and direction of the force on the middle charge? Answer: 1.5 ke2/d2, left Solution: For this problem again use opposite charges attract and like charges repel. Label the charges 1 to 5 from left to right. As for the previous problem it is helpful to make a table: F on 3 by 1 ke2/(2d)2 to the right F on 3 by 2 ke2/(d)2 to the left F on 3 by 4 ke2/(d)2 to the left F on 3 by 5 ke2/(2d)2 to the right F total 1.5 ke2/d2 to the left 3. The following tests are made on an object X of unknown charge and material. (i) A positively charged object is attracted to X. (ii) A negatively charge object is attracted to X. Which of the following are possible explanations of this behavior? Answer: X is a neutral conductor. Solution: As demonstrated in class and also in the book (see Fig. 21-4), when a charged object is brought next to a neutral conductor, there is an induced charge near the charged object. For example, a positive charge brought near a neutral conductor will induce a negative charge near the surface of the conductor. The metal will be attracted to the positive charge. The metal will also be attracted to a negative charge because induced charge in this case will be positive. 4. How many excess electrons are in ?2?C charge? Answer: 1013 Solution: The charge of an electron is ?1.6
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