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 20P
(III) Two small charged spheres hang from cords of equal length ℓ as shown in Fig. 21–55 and make small angles θ1 and θ2 with the vertical. (a) If Q1 = Q, Q2 = 2Q, and m1 = m2 = m, determine the ratio θ1/θ2. (b) If Q1 = Q, Q2 = 2Q, m1 = m, and m2 = 2m, determine the ratio θ1/θ2. (c) Estimate the distance between the spheres for each case.
FIGURE 21–55 Problem 20.
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(II) Two charges of the same magnitude and opposite signs (q1 = 4 nC = −q2) are separated by a distance 2d, where d = 1 cm. Determine the force resultant electric force acting on a charge q3 = 9 nC when it is at point
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Figure 21-55
+170 μC
15.0 cm
15.0 cm
+170 μC 15.0 cm +170 μC
Problem 130.
(II) Three positive particles of equal charge, +17.0 µC, are
located at the corners of an equilateral triangle of side
15.0 cm (Fig. 16–53). Calculate
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FIGURE 16–53
Problem 12.
+17.0 μC
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15.0 cm
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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- (II) A charge of 6.00 mC is placed at each corner of a square 0.100 m on a side. Determine the magnitude and direction of the force on each charge.arrow_forward(2.)(II) Two equal point charges Q are located on the y axis at y = a and y = -a. (a) What is the force on a charge q located at (x, 0)? (b) For what value of x is the force a maximum? Make a rough plot of F(x), the force as a func- tion of x. (c) When x > a, what is the form of F(x)? (Hint: Use the binomial expansion (1+z)" = 1 + nz for small z.)arrow_forward(II) Three charged particles are placed at the corners of an equilateral triangle of side 1.20 m (Fig. 16-53). The charges are +4.0 µC, -8.0 µC, and -6.0 µC. Calculate the magnitude and direction of the net force on each due to the other two. Q1 = +4.0 µC 1.20 m FIGURE 16-53 Q2=-8.0 µC Q3= -6.0 µC Problem 17. 1.20 1.20 marrow_forward
- (II) At each corner of a square of side l there are point charges of magnitude Q, 2Q, 3Q, and 4Q (Fig. 16–54). Determine the mag- 20 nitude and direction of the force on the charge 2Q. FIGURE 16–54 Problem 15. 4Qarrow_forwardProblem 3: (II) Three positive particles of equal charge, +17.0 μC, are located at the corners of an equilateral triangle of side 15.0 cm (Fig. 16-53). Calculate the magnitude and direction of the net force on each particle due to the other two. FIGURE 16-53 +17.0 μC 15.0 cm 15.0 cm Problem 12. +17.0 με 15.0 cm +17.0 μСarrow_forward(II) A large electroscope is made with "leaves" that are 78-cm-long wires with tiny 21-g spheres at the ends. When charged, nearly all the charge resides on the spheres. If the wires each make a 26° angle with the vertical (Fig. 16–55), what total charge Q must have been applied to the electroscope? Ignore the mass of the wires. 26°126 78 cm 78 cm FIGURE 16–55 Problem 16.arrow_forward
- •27 Go In Fig. 22-51, two curved plastic rods, one of charge +q and the other of +4 charge -q, form a circle of radius R = 8.50 cm in an xy plane. The x axis passes through both of the connecting points, and the charge is distributed uniformly on both rods. If q = 15.0 pC, what are the (a) magnitude and (b) direction (relative to the positive direction of the x axis) of the electric field E produced at P, the -9 Figure 22-51 Problem 27. center of the circle?arrow_forward(II) Determine the direction and magnitude of the electric field at the point P in Fig. 16–56. The charges are separated by a distance 2a, and point P is a distance x from the midpoint between the two charges. Express your answer in terms of Q, x, a, and k. +Q а -Q FIGURE 16–56 Problem 31.arrow_forward(II) A charge of 6.15 mC is placed at each corner of a square0.100 m on a side. Determine the magnitude and directionof the force on each charge.arrow_forward
- (I) A downward electric force of 6.4 N is exerted on a - 7.3µ C charge. Find the magnitude and direction of the electric field at the position of this charge.arrow_forward(II) You are given two unknown point charges, Q1 and Q2 . At a point on the line joining them, one-third of the way from Q to Q2 , the electric field is zero (Fig. 16–59). What is the ratio Q1/Q2? E= 0 Qi 3 Q2 FIGURE 16–59 Problem 34. l-arrow_forwardonly solve for 2 of the 3 chargesarrow_forward
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