EBK PHYSICS FOR SCIENTISTS & ENGINEERS
5th Edition
ISBN: 9780134296074
Author: GIANCOLI
Publisher: VST
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In Figure 21-43, two tiny conducting balls of identical mass m and identical charge q hang from nonconducting threads of length L. Assume that is so small that tan can be replaced by its approximate equal, sin 8.
100
Fig. 21-43
(a) Show that equilibrium separation x of the balls is given by the equation below. (Do this on paper. Your instructor may ask you to turn in this work.)
333
x =
q²L
2#comg
This answer has not been graded yet.
(b) If L = 105 cm, m = 8 g, and x = 7.0 cm, what is q?
42 In Fig. 21-39, two tiny conducting
balls of identical mass m and identical
charge q hang from nonconducting
threads of length L. Assume that e is so
small that tan e can be replaced by its
approximate equal, sin 0. (a) Show that
/eje
L.
q²L
2περπg
1/3
gives the equilibrium separation x of
the balls. (b) If L = 120 cm, m = 10 g,
and x = 5.0 cm, what is lql?
x-
For a uniformly charged conductor,
E = 0 inside the conductor
O V = 0 inside the conductor
V = 0 everywhere
O E = 0 everywhere
Chapter 21 Solutions
EBK PHYSICS FOR SCIENTISTS & ENGINEERS
Ch. 21.5 - Return to the Chapter-Opening Question, page 559,...Ch. 21.5 - Prob. 1BECh. 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 - Prob. 9QCh. 21 - Prob. 10QCh. 21 - The form of Coulombs law is very similar to that...Ch. 21 - We are not normally aware of the gravitational 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 - Prob. 21QCh. 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 - Explain why there can be a net force on an...Ch. 21 - Describe the motion of the dipole shown in Fig....Ch. 21 - Prob. 1MCQCh. 21 - Prob. 2MCQCh. 21 - Prob. 3MCQCh. 21 - Prob. 4MCQCh. 21 - Prob. 5MCQCh. 21 - Prob. 6MCQCh. 21 - Prob. 7MCQCh. 21 - Prob. 8MCQCh. 21 - Prob. 9MCQCh. 21 - Prob. 10MCQCh. 21 - Prob. 11MCQCh. 21 - Prob. 12MCQCh. 21 - (I) What is the magnitude of the electric force of...Ch. 21 - Prob. 2PCh. 21 - Prob. 3PCh. 21 - Prob. 4PCh. 21 - Prob. 5PCh. 21 - Prob. 6PCh. 21 - Prob. 7PCh. 21 - Prob. 8PCh. 21 - Prob. 9PCh. 21 - (II) Compare the electric force holding the...Ch. 21 - (II) Two positive point charges are a fixed...Ch. 21 - Prob. 12PCh. 21 - Prob. 13PCh. 21 - Prob. 14PCh. 21 - Prob. 15PCh. 21 - (II) Two negative and two positive point charges...Ch. 21 - Prob. 17PCh. 21 - Prob. 18PCh. 21 - Prob. 19PCh. 21 - Prob. 20PCh. 21 - (III) Two positive charges +Q are affixed rigidly...Ch. 21 - Prob. 22PCh. 21 - Prob. 23PCh. 21 - Prob. 24PCh. 21 - Prob. 25PCh. 21 - Prob. 26PCh. 21 - Prob. 27PCh. 21 - Prob. 28PCh. 21 - Prob. 29PCh. 21 - (II) A long uniformly charged thread (linear...Ch. 21 - Prob. 31PCh. 21 - Prob. 32PCh. 21 - Prob. 33PCh. 21 - (II) Determine the direction and magnitude of the...Ch. 21 - Prob. 35PCh. 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 - Prob. 41PCh. 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) The uniformly charged straight wire in...Ch. 21 - (II) Determine the direction and magnitude of the...Ch. 21 - (II) Use your result from Problem 46 to find the...Ch. 21 - (II) A thin rod bent into the shape of an arc of a...Ch. 21 - (III) Suppose a uniformly charged wire starts at...Ch. 21 - Prob. 50PCh. 21 - (III) A thin rod of length carries a total charge...Ch. 21 - (III) Uniform plane of charge. Charge is...Ch. 21 - Prob. 53PCh. 21 - Prob. 54PCh. 21 - Prob. 55PCh. 21 - Prob. 56PCh. 21 - Prob. 57PCh. 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) An electric dipole, of dipole moment p and...Ch. 21 - (II) Suppose both charges in Fig. 2145 (for a...Ch. 21 - (III) Suppose a dipole p is placed in a nonuniform...Ch. 21 - Prob. 64PCh. 21 - Prob. 65PCh. 21 - How close must two electrons be if the electric...Ch. 21 - Prob. 67GPCh. 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 - Dry air will break down and generate a spark if...Ch. 21 - Prob. 76GPCh. 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 - Prob. 80GPCh. 21 - Three very large square planes of charge are...Ch. 21 - Prob. 82GPCh. 21 - Prob. 83GPCh. 21 - Prob. 84GPCh. 21 - Prob. 85GPCh. 21 - A one-dimensional row of positive ions, each with...Ch. 21 - Prob. 87GPCh. 21 - Prob. 88GPCh. 21 - Prob. 89GPCh. 21 - Prob. 90GPCh. 21 - Prob. 91GPCh. 21 - Prob. 92GP
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- L/2. 0 Ay I - L/2 02 a α1 T P ΔΕ Ρ ΔΕ, Consider a uniformly charged thin rod with total charge Q and length L. It is aligned along the y-axis and centered at the originarrow_forward*7 In Fig. 21-23, three charged particles lie on an x axis. Particles 1 and 2 are fixed in place. Particle 3 is free to move, but the net elec- Figure 21-23 Problems 7 and 40. trostatic force on it from particles 1 and 2 happens to be zero. If L23 = L12, what is the ratio ql92? -L12 L-arrow_forward7) A wire with 4 meters length and constant charge density lambda = 4nC/m is placed diagonally on x-y plane. One end is at the origin and it makes 45 degrees with the x-axis. Find the integral expression for Ex at x=7 y=10arrow_forward
- 18 In Fig. 21-29a, three positively charged particles are fixed on an x BC (a) axis. Particles B and C are so close to each other that they can be con- sidered to be at the same distance B. A from particle A. The net force on particle A due to particles B and C is 2.014 x 10-23 N in the negative direction of the x axis. In Fig. 21- 29b, particle B has been moved to the opposite side of A but is still at the same distance from it. The net force on A is now 2.877 x 10-24 N in the negative direction of the x axis. What is the ratio Id9n? (b) Figure 21-29 Problem 18.arrow_forward*39 SSM In Fig. 23-49, a small, nonconducting ball of mass m = 1.0 mg and charge q = 2.0 x 10-8C (distributed uniformly through its vol- ume) hangs from an insulating thread that makes an angle 0 = 30° with a vertical, uniformly charged nonconducting sheet (shown in cross sec- tion). Considering the gravitational force on the ball and assuming the sheet extends far vertically and into and out of the page, calculate the surface charge density o of the sheet. m.arrow_forwardA molecule of DNA (deoxyribonucleic acid) is 2.17 mm long. The ends of the molecule become singly ionized: negative on one end, positive on the other. The helical molecule acts like a spring and compresses 1.00% upon becoming charged. Determine the effective spring constant of the molecule.arrow_forward
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- (13) Particles 1 and 2 have the same magnitude of charge but opposite in -q2 = 7.36 nC. However, mı > m2 sign: q1 14.9 µg such that particle 1 can be regarded as stationary in their electrical interaction. Suppose that they are initially separated by a distance of 1.71 cm. The magnitude of the escape velocity of particle 2 needed to escape from the pull of particle 1 to infinity is most nearly (A) 87.5 m/s. (B) 61.9 m/s. (C) 75.8 m/s. (D) 43.7 m/s. (E) 30.9 m/s.arrow_forward35 In Fig. 21-24, three charged particles lie on an x axis. Particles 1 and 2 are fixed in place. Particle 3 is free to move, but the net elec- trostatic force on it from particles 1 and 2 happens to be zero. If 2.0L23 = L12, what is the ratio qı1q;? L12 3 2.arrow_forwardCalculate the magnitude and direction of the electric field 2.0 m from a long wire that is charged uniformly at λ = 4.0 × 10−6 C/m.arrow_forward
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