Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Textbook Question
Chapter 21, Problem 89GP
Four equal positive point charges, each of charge 8.0 μC, are at the corners of a square of side 9.2 cm. What charge should be placed at the center of the square so that all charges are at equilibrium? Is this a stable or unstable equilibrium (Section 12–3) in the plane?
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Chapter 21 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 21.5 - Return to the Chapter-Opening Question, page 559,...Ch. 21.5 - What is the magnitude of F12 (and F21) in Example...Ch. 21.5 - Determine the magnitude and direction of the net...Ch. 21.5 - (a) Consider two point charges of the same...Ch. 21.6 - Four charges of equal magnitude, but possibly...Ch. 21 - If you charge a pocket comb by rubbing it with a...Ch. 21 - Why does a shirt or blouse taken from a clothes...Ch. 21 - Explain why fog or rain droplets tend to form...Ch. 21 - A positively charged rod is brought close to a...Ch. 21 - Why does a plastic ruler that has been rubbed with...
Ch. 21 - Contrast the net charge on a conductor to the free...Ch. 21 - Figures 217 and 218 show how a charged rod placed...Ch. 21 - When an electroscope is charged, the two leaves...Ch. 21 - The form of Coulombs law is very similar to that...Ch. 21 - We are not normally aware of the gravitational or...Ch. 21 - Is the electric force a conservative force? Why or...Ch. 21 - What experimental observations mentioned in the...Ch. 21 - When a charged ruler attracts small pieces of...Ch. 21 - Explain why the test charges we use when measuring...Ch. 21 - When determining an electric field, must we use a...Ch. 21 - Draw the electric field lines surrounding two...Ch. 21 - Assume that the two opposite charges in Fig. 2134a...Ch. 21 - Consider the electric field at the three points...Ch. 21 - Why can electric field lines never cross?Ch. 21 - Given two point charges, Q and 2Q, a distance ...Ch. 21 - Suppose the ring of Fig. 2128 has a uniformly...Ch. 21 - Consider a small positive test charge located on...Ch. 21 - We wish to determine the electric field at a point...Ch. 21 - In what ways does the electron motion in Example...Ch. 21 - Describe the motion of the dipole shown in Fig....Ch. 21 - Explain why there can be a net force on an...Ch. 21 - (I) What is the magnitude of the electric force of...Ch. 21 - (I) How many electrons make up a charge of 38.0 C?Ch. 21 - (I) What is the magnitude of the force a + 25 C...Ch. 21 - (I) What is the repulsive electrical force between...Ch. 21 - (II) When an object such as a plastic comb is...Ch. 21 - (II) Two charged dust particles exert a force of...Ch. 21 - (II) Two charged spheres are 8.45 cm apart. They...Ch. 21 - (II) A person scuffing her feet on a wool rug on a...Ch. 21 - (II) What is the total charge of all the electrons...Ch. 21 - (II) Compare the electric force holding the...Ch. 21 - (II) Two positive point charges are a fixed...Ch. 21 - (II) Particles of charge +75, +48, and 85 C are...Ch. 21 - (II) Three charged particles are placed at the...Ch. 21 - (II) Two small nonconducting spheres have a total...Ch. 21 - (II) A charge of 4.15 mC is placed at each corner...Ch. 21 - (II) Two negative and two positive point charges...Ch. 21 - (II) A charge Q is transferred from an initially...Ch. 21 - (III) Two charges, Q0 and 4Q0, are a distance ...Ch. 21 - (III) Two positive charges +Q are affixed rigidly...Ch. 21 - (III) Two small charged spheres hang from cords of...Ch. 21 - (I) What are the magnitude and direction of the...Ch. 21 - (I) A proton is released in a uniform electric...Ch. 21 - (I) Determine the magnitude and direction of the...Ch. 21 - (I) A downward electric force of 8.4 N is exerted...Ch. 21 - (I) The electric force on a +4.20-C charge is...Ch. 21 - (I) What is the electric field at a point when the...Ch. 21 - (II) Draw, approximately, the electric field lines...Ch. 21 - (II) What is the electric field strength at a...Ch. 21 - (II) A long uniformly charged thread (linear...Ch. 21 - (II) The electric field midway between two equal...Ch. 21 - (II) Calculate the electric field at one corner of...Ch. 21 - (II) Calculate the electric field at the center of...Ch. 21 - (II) Determine the direction and magnitude of the...Ch. 21 - (II) Two point charges, Q1 = 25 and Q2 = +45 ,...Ch. 21 - (II) A very thin line of charge lies along the x...Ch. 21 - (II) (a) Determine the electric field E at the...Ch. 21 - (II) Draw, approximately, the electric field lines...Ch. 21 - (II) Two parallel circular rings of radius R have...Ch. 21 - (II) You are given two unknown point charges, Q1...Ch. 21 - (II) Use Coulombs law to determine the magnitude...Ch. 21 - (II) (a) Two equal charges Q are positioned at...Ch. 21 - (II) At what position, x = xM, is the magnitude of...Ch. 21 - (II) Estimate the electric field at a point 2.40...Ch. 21 - (II) The uniformly charged straight wire in...Ch. 21 - (II) Use your result from Problem 46 to find the...Ch. 21 - (II) Determine the direction and magnitude of the...Ch. 21 - (II) A thin rod bent into the shape of an arc of a...Ch. 21 - (III) A thin glass rod is a semicircle of radius...Ch. 21 - (III) Suppose a uniformly charged wire starts at...Ch. 21 - (III) Suppose in Example 2111 that x = 0.250m. Q =...Ch. 21 - (III) A thin rod of length carries a total charge...Ch. 21 - (III) Uniform plane of charge. Charge is...Ch. 21 - (III) Suppose the charge Q on the ring of Fig....Ch. 21 - (II) An electron with speed v0 = 27.5 106 m/s is...Ch. 21 - (II) An electron has an initial velocity...Ch. 21 - (II) An electron moving to the right at 7.5 105...Ch. 21 - (II) At what angle will the electrons in Example...Ch. 21 - (II) An electron is traveling through a uniform...Ch. 21 - (II) A positive charge q is placed at the center...Ch. 21 - (II) A dipole consists of charges +e and e...Ch. 21 - (II) The HCl molecule has a dipole moment of about...Ch. 21 - (II) Suppose both charges in Fig. 2145 (for a...Ch. 21 - (II) An electric dipole, of dipole moment p and...Ch. 21 - (III) Suppose a dipole p is placed in a nonuniform...Ch. 21 - (III) (a) Show that at points along the axis of a...Ch. 21 - How close must two electrons be if the electric...Ch. 21 - Given that the human body is mostly made of water,...Ch. 21 - A 3.0-g copper penny has a positive charge of 38...Ch. 21 - Measurements indicate that there is an electric...Ch. 21 - (a) The electric field near the Earths surface has...Ch. 21 - A water droplet of radius 0.018 mm remains...Ch. 21 - Estimate the net force between the CO group and...Ch. 21 - Suppose that electrical attraction, rather than...Ch. 21 - In a simple model of the hydrogen atom, the...Ch. 21 - A positive point charge Q1 = 2.5 105 C is fixed...Ch. 21 - When clothes are removed from a dryer, a 40-g sock...Ch. 21 - A small lead sphere is encased in insulating...Ch. 21 - A large electroscope is made with leaves that are...Ch. 21 - Dry air will break down and generate a spark if...Ch. 21 - Two pint charges, Q1 = 6.7 and Q2 = 1.8 C, are...Ch. 21 - Packing material made of pieces of foamed...Ch. 21 - One type of electric quadrupole consists of two...Ch. 21 - Suppose electrons enter a uniform electric field...Ch. 21 - An electron moves in a circle of radius r around a...Ch. 21 - Three very large square planes of charge are...Ch. 21 - A point charge (m = 1.0 g) at the end of an...Ch. 21 - Four equal positive point charges, each of charge...Ch. 21 - Two small, identical conducting spheres A and B...Ch. 21 - A point charge of mass 0.210 kg, and net charge...Ch. 21 - A one-dimensional row of positive ions, each with...Ch. 21 - (III) A thin ring-shaped object of radius a...Ch. 21 - (III) An 8.00 C charge is on the x axis of a...
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