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 35P
(II) Determine the direction and magnitude of the electric field at the point Ρ in Fig. 21–57. The charges are separated by a distance 2a, and point Ρ is a distance x from the midpoint between the two charges. Express your answer in terms of Q, x, a, and k.
FIGURE 21–57
Problem 35.
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Students have asked these similar questions
(II) Determine the electric field É at the origin 0 in
Fig. 16–58 due to the two charges
at A and B.
y
|+26 µC
A
8.0 cm
-26 µC
B
8.0 cm
FIGURE 16-58
8.0 cm
Problem 33.
(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-
Consider the electric field at the three points indicated by
the letters A, B, and C in Fig. 16–49. First draw an arrow
at each point indicating the direction of the net force that
a positive test charge would experience if placed at that
point, then list the letters in order of decreasing field
strength (strongest first). Explain.
B,
FIGURE 16–49 Question 17.
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) Two point charges, Q1 = -32 µC and Q2 = +45 µC, are separated by a distance of 12 cm. The electric field at the point P (see Fig. 16–57) is zero. How far from Qj is P? Q1 Q2 12 cm P -32 μC +45 µC FIGURE 16-57 Problem 32.arrow_forwardDetermine the direction and magnitude of the electric field at point P, Fig. 16–69. The two charges are separated by a dis- tance of 2a. Point Pis on the perpendicular bisector of the line joining the charges, a distance x from the midpoint between them. Express your answers in terms of Q, x, a, and k. +Q FIGURE 16–69 a -Q Problem 66.arrow_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
- (II) Two point charges, Q₁ = -25 μC and Q2 = +45 μC, are separated by a distance of 12 cm. The electric field at the point P (see Fig. 21-58) is zero. How far from Q₁ is P? 21 -25 μC FIGURE 21-58 Problem 36. P X 12 cm 22 +45 μCarrow_forward(II) Point a is 62 cm north of a –3.8 µC point charge, and point b is 88 cm west of the charge (Fig. 17–40). Determine (a) Vý – Va and (b) Ep – Ea (magnitude and direction). 62 cm FIGURE 17-40 b Q =-3.8 µC Problem 27. 88 cmarrow_forward(III) Two equal but opposite charges are separated by a distance d, as shown in Fig. 17-41. Determine a formula for VBA = VB - Va for points B and A on the line between the charges situated as shown. -d - FIGURE 17-41 -b- +q b- B Problem 30. A -9arrow_forward
- 2%. (II) Point a is 62 cm north of a -3.8 uC poini charge, atld point b is 88 cm west of the charge (Fig. 17-40). Determine (a) ½ - V, and (b} Ể, - Ê, {magnitude and direction). 62 cm FIGURE 17-40 b Problem 27. Q=-3.8 µC 88 cmarrow_forward(II) The electric field between two parallel square metal plates is 130 N/C. The plates are 0.85 m on a side and are separated by 3.0 cm. What is the charge on each plate (assume equal and opposite)? Neglect edge effectsarrow_forwardProblem 5: (II) Three point charges are arranged at the corners of a square of side l as shown in Fig. 17–39. What is the poten- tial at the fourth corner (point A)? FIGURE 17-39 Problem 22. l +Q -20 l l +30 A larrow_forward
- Two small charged spheres hang from cords of equal length l as shown in Fig. 16–64 and make small angles 01 and 02 with the vertical. (a) If Q1 = Q, Q2 = 2Q, and m1 = m2 = m, determine the ratio 01/02. (b) Estimate the distance between the spheres. FIGURE 16–64 Problem 52. Q1 Q2arrow_forward6 In Fig. 22-27, two identical circu- lar nonconducting rings are centered on the same line with their planes perpendicular to the line. Each ring has charge that is uniformly distrib- uted along its circumference. The rings each produce electric fields at points along the line. For three situations, the charges on rings A and B are, respectively, (1) qo and 9o, (2) -90 and -90, and (3) - and qo. Rank the situations according to the magnitude of the net electric field at (a) point P1 midway between the rings, (b) point P, at the center of ring B, and (c) point P3 to the right of ring B. greatest first. P, P3 Ring A Ring B Figure 22-27 Question 6.arrow_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_forward
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