College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 15, Problem 22P
A small sphere of charge q = +68 μC and mass m = 5.8 g is attached to a light string and placed in a uniform electric field
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Positive charge Q = 7.8 n C is spread uniformly along a thin insulating rod of length L = 14.5 cm.
a) Find the magnitude and direction of the electric field at point P, at distance R = 6.00 cm from the rod along its perpendicular bisector.
b) Explain how the direction of the field is determined.
A small sphere of charge q = +65 μC and mass m = 5.3 g is attached to a light string and placed in a uniform electric field E that makes an angle 8 = 38° with the horizontal. The opposite end of the
string attached to a wall and the sphere is in static equilibrium when the string is horizontal as in the figure shown below.
+
(a) Construct a free body diagram for the sphere. (Submit a file with maximum size of 1 MB.)
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(b) Find the magnitude of the electric field.
N/C
(c) Find the tension in the string. (Enter the magnitude of the tension in the string.)
N
Can you please solve (d) & (e)?
Chapter 15 Solutions
College Physics
Ch. 15.1 - A suspended object A is attracted to a neutral...Ch. 15.2 - Object A has a charge of +2 C, and object B has a...Ch. 15.3 - A test charge of + 3 C is at a point P where the...Ch. 15.3 - A circular ring of charge of radius b has a total...Ch. 15.3 - A free electron and a free proton are placed in an...Ch. 15.4 - Rank the magnitudes of the electric field at...Ch. 15.8 - Calculate the magnitude of the flux of a constant...Ch. 15.8 - Suppose the electric field of Quick Quiz 15.7 is...Ch. 15.8 - Find the electric flux through the surface in...Ch. 15.8 - For a closed surface through which the net flux is...
Ch. 15 - A glass object receives a positive charge of +3 nC...Ch. 15 - The fundamental charge is e = 1.60 1019 C....Ch. 15 - Each of the following statements is related to...Ch. 15 - Two uncharged, conducting spheres are separated by...Ch. 15 - Four concentric spheres S1, S2, S3, and S4 are...Ch. 15 - IF a suspended object A is attracted to a charged...Ch. 15 - Positive charge Q is located at the center of a...Ch. 15 - Consider point A in Figure CQ15.8 located an...Ch. 15 - A student stands on a thick piece of insulating...Ch. 15 - In fair weather, there is an electric field at the...Ch. 15 - A charged comb often attracts small bits of dry...Ch. 15 - Why should a ground wire be connected to the metal...Ch. 15 - There are great similarities between electric and...Ch. 15 - A spherical surface surrounds a point charge q....Ch. 15 - If more electric field lines leave a Gaussian...Ch. 15 - A student who grew up in a tropical country and is...Ch. 15 - What happens when a charged insulator is placed...Ch. 15 - A 7.50-nC charge is located 1.80 m from a 4.20-nC...Ch. 15 - A charged particle A exerts a force of 2.62 N to...Ch. 15 - Rocket observations show that dust particles in...Ch. 15 - A small sphere of mass m = 7.50 g and charge q1 =...Ch. 15 - The nucleus of 8Be, which consists of 4 protons...Ch. 15 - A molecule of DNA (deoxyribonucleic acid) is 2.17...Ch. 15 - Two uncharged spheres are separated by 2.00 in. If...Ch. 15 - Four point charges are at the corners of a square...Ch. 15 - Two small identical conducting spheres are placed...Ch. 15 - Calculate the magnitude and direction of the...Ch. 15 - Three charges are arranged as shown in Figure...Ch. 15 - A positive charge q1 = 2.70 C on a frictionless...Ch. 15 - Three point charges are located at the corners of...Ch. 15 - Two identical metal blocks resting on a...Ch. 15 - Two small metallic spheres, each of mass m = 0.20...Ch. 15 - Panicle A of charge 3.00 104 C is at the origin,...Ch. 15 - A small object of mass 3.80 g and charge 18.0 C is...Ch. 15 - (a) Determine the electric field strength at a...Ch. 15 - An electric field of magnitude 5.25 105 N/C...Ch. 15 - An electron is accelerated by a constant electric...Ch. 15 - Charge q1 = 1.00 nC is at x1 = 0 and charge q2 =...Ch. 15 - A small sphere of charge q = +68 C and mass m =...Ch. 15 - A proton accelerates from rest in a uniform...Ch. 15 - (a) Find the magnitude and direction of the...Ch. 15 - Four point charges are located at the corners of a...Ch. 15 - A helium nucleus of mass m = 6.64 1027 kg and...Ch. 15 - A charged dust particle at rest in a vacuum is...Ch. 15 - A particle of mass 1.00 109 kg and charge 3.00 pC...Ch. 15 - Two equal positive charges are at opposite corners...Ch. 15 - Three point charges are located on a circular are...Ch. 15 - In Figure P15.31, determine the point (other than...Ch. 15 - Three charges are at the corners of an equilateral...Ch. 15 - Three identical charges (q = 5.0 C.) lie along a...Ch. 15 - Figure P15.31 shows the electric held lines for...Ch. 15 - (a) Sketch the electric field lines around an...Ch. 15 - (a) Sketch the electric field pattern around two...Ch. 15 - Two point charges are a small distance apart. (a)...Ch. 15 - Three equal positive charges are at the corners of...Ch. 15 - Refer 10 Figure 15.20. The charge lowered into the...Ch. 15 - The dome of a Van de Graaff generator receives a...Ch. 15 - If the electric field strength in air exceeds 3.0 ...Ch. 15 - In the Millikan oil-drop experiment illustrated in...Ch. 15 - A Van de Graaff generator is charged so that a...Ch. 15 - A uniform electric field of magnitude E = 435 N/C...Ch. 15 - An electric field of intensity 3.50 kN/C is...Ch. 15 - The electric field everywhere on the surface of a...Ch. 15 - Four closed surfaces, S1 through S4, together with...Ch. 15 - A charge q = +5.80 C is located at the center of a...Ch. 15 - Figure P15.49 shows a closed cylinder with...Ch. 15 - A charge of q = 2.00 109 G is spread evenly on a...Ch. 15 - A point charge q is located at the center of a...Ch. 15 - A charge of 1.70 102 C is at the center of a cube...Ch. 15 - Suppose the conducting spherical shell of Figure...Ch. 15 - A very large nonconducting plate lying in the...Ch. 15 - In deep spare, two spheres each of radius 5.00 m...Ch. 15 - A nonconducting, thin plane sheet of charge...Ch. 15 - Three point charges are aligned along the x-axis...Ch. 15 - A small plastic ball of mass m = 2.00 g is...Ch. 15 - A proton moving at v0 = 1.50 106 m/s enters the...Ch. 15 - The electrons in a particle beam each have a...Ch. 15 - A point charge +2Q is at the origin and a point...Ch. 15 - A 1.00-g cork ball having a positive charge of...Ch. 15 - Two 2.0-g spheres are suspended by 10.0-cm-long...Ch. 15 - a point charge of magnitude 5.00 C is at the...Ch. 15 - Two hard rubber spheres, each of mass m = 15.0 g,...Ch. 15 - Prob. 66APCh. 15 - A solid conducting sphere of radius 2.00 cm has a...Ch. 15 - Three identical point charges, each of mass m =...Ch. 15 - Each of the electrons in a particle beam has a...Ch. 15 - Protons are projected with an initial speed v0 = 9...
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- In Figure P24.49, a charged particle of mass m = 4.00 g and charge q = 0.250 C is suspended in static equilibrium at the end of an insulating thread that hangs from a very long, charged, thin rod. The thread is 12.0 cm long and makes an angle of 35.0 with the vertical. Determine the linear charge density of the rod. FIGURE P24.49arrow_forwardaA plastic rod of length = 24.0 cm is uniformly charged with a total charge of +12.0 C. The rod is formed into a semicircle with its center at the origin of the xy plane (Fig. P24.34). What are the magnitude and direction of the electric field at the origin? Figure P24.34arrow_forwardWhy is the following situation impossible? A solid copper sphere of radius 15.0 cm is in electrostatic equilibrium and carries a charge of 40.0 nC. Figure P24.30 shows the magnitude of the electric field as a function of radial position r measured from the center of the sphere. Figure P24.30arrow_forward
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- Two solid spheres, both of radius 5 cm, carry identical total charges of 2 C. Sphere A is a good conductor. Sphere B is an insulator, and its charge is distributed uniformly throughout its volume. (i) How do the magnitudes of the electric fields they separately create at a radial distance of 6 cm compare? (a) EA EB = 0 (b) EA EB 0 (c) EA = EB 0 (d) 0 EA EB (e) 0 = EA EB (ii) How do the magnitudes of the electric fields they separately create at radius 4 cm compare? Choose from the same possibilities as in part (i).arrow_forwardCharges A, B, and C are arranged in the xy plane with qA = 5.60 C, qB = 4.00 C, and qC = 2.30 /C (Fig. P23.43). What are the magnitude and direction of the electrostatic force on charge B? Figure P23.43arrow_forwardA Two positively charged particles, each with charge Q, are held at positions (a, 0) and (a, 0) as shown in Figure P23.73. A third positively charged particle with charge q is placed at (0, h). a. Find an expression for the net electric force on the third particle with charge q. b. Show that the two charges Q behave like a single charge 2Q located at the origin when the distance h is much greater than a. Figure P23.73 Problems 73 and 74.arrow_forward
- Figure P24.17 shows a dipole (not drawn to scale). If the positive particle has a charge of 35.7 mC and the particles are 2.56 mm apart, what is the (approximate) electric field at point A located 2.00 m above the dipoles midpoint?arrow_forward(a) Determine the electric field strength at a point 1.00 cm to the left of the middle charge shown in Figure P15.10. (b) If a charge of 2.00 C is placed at this point, what are the magnitude and direction of the force on it?arrow_forwardFigure P24.17 shows a dipole. If the positive particle has a charge of 35.7 mC and the particles are 2.56 mm apart, what is the electric field at point A located 2.00 mm above the dipoles midpoint?arrow_forward
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