1. Two tiny conducting balls of identical mass m= 10 grams and identical charge q hang from non-conducting threads of length L= 120cm. Assume that is so small that tan can be replaced by its approximate equal, sin . (a) If the equilibrium separation distance is x= 5cm, determine the charge on each ball. (b) Explain what happens to the balls if one of them is discharged (loses its charge q to, say, the ground). (c) Find the new equilibrium separation x, using the given values of L and m and the computed value of lql. L ӨӨ I L

1. Two tiny conducting balls of identical mass m= 10 grams and identical charge q hang from non-conducting threads of length L= 120cm. Assume that is so small that tan can be replaced by its approximate equal, sin . (a) If the equilibrium separation distance is x= 5cm, determine the charge on each ball. (b) Explain what happens to the balls if one of them is discharged (loses its charge q to, say, the ground). (c) Find the new equilibrium separation x, using the given values of L and m and the computed value of lql. L ӨӨ I L

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter19: Electric Forces And Electric Fields

Section: Chapter Questions

Problem 11CQ

See similar textbooks

Similar questions

The charge unit length on the thin shown below is .What is the force on the point charge q? Solve this problem by first considering the electric force dF on q due to a small segment dx of the rod, which contains charge dx . Then, find the net force by integrating dF over the length of the rod.
Refer 10 Figure 15.20. The charge lowered into the center of the hollow conductor has a magnitude of 5 C. Find the magnitude and sign of the charge on the inside and outside of the hollow conductor when the charge is as shown in (a) Figure 15.20a, (b) Figure 15.20b, (c) Figure 15.20c, and (d) Figure 15.20d.
A 50.0-g ball of copper has a net charge of 2.00C. What fraction of the copper's electrons has removed? (Each copper atom has 29 protons, and copper has an atomic mass of 63.3.)
Suppose a speck of dust in an electrostatic precipitator has 1.00001012 protons in it and has a net charge of 5.00 nC (a very large charge for a small speck). How many electrons does it have?
While walking on a mg, a person frequently becomes charged because of the tubbing between his shoes and the lug. This charge then causes a spark and a slight shock when the person gets close to a metal object. Why are these shocks so much more common on a day?
Sketch the electric field lines in the vicinity of the charged insulator in Figure 18.51 noting its nonuniform charge distribution. Figure 18.51 A charged insulating rod such as might be used in a classroom demonstration.
Suppose a speck of dust in an electrostatic precipitator has l.0000 1012 protons in it and has a net charge of5.00 nC (a very large charge for a small speck). How many electrons does it have?
(i) A metallic sphere A of radius 1.00 cm is several centimeters away from a metallic spherical shell B of radius 2.00 cm. Charge 450 nC is placed on A, with no charge on B or anywhere nearby. Next, the two objects are joined by a long, thin, metallic wire (as shown in Fig. 25.19), and finally the wire is removed. How is the charge shared between A and B? (a) 0 on A. 450 nC on B (b) 90.0 nC on A and 360 nC on B, with equal surface charge densities (c) 150 nC on A and 300 nC on B (d) 225 nC on A and 225 nC on B (e) 450 nC on A and 0 on B (ii) A metallic sphere A of radius 1 cm with charge 450 nC hangs on an insulating thread inside an uncharged thin metallic spherical shell B of radius 2 cm. Next, A is made temporarily to touch the inner surface of B. How is the charge then shared between them? Choose from the same possibilities. Arnold Arons, the only physics teacher yet to have his picture on the cover ol Time magazine, suggested the idea for this question.
A common demonstration involves charging a rubber balloon, which is an insulator, by rubbing it on your hair and then touching the balloon to a ceiling or wall, which is also an insulator. Because of the electrical attraction between the charged balloon and the neutral wall, the balloon sticks to the wall. Imagine now that we have two infinitely large, flat sheets of insulating material. One is charged, and the other is neutral. If these sheets are brought into contact, does an attractive force exist between them as there was for the balloon and the wall?
Discuss how Gauss's law would be affected if the electric field of a point charge did not vary as 1/r2.
The net excess charge on two small spheres (small enough to be treated as point charges) is Q. Show that the force of repulsion between the spheres is greatest when each sphere has an excess charge Q/2. Assume that the distance between the spheres is so large compared with their radii that the spheres can be treated as point charges.
Two charges lie along the x-axis. Is it nue that the net electric field always vanishes at some point (other than infinity) along the x-axis?