Problem 5.1CYU: Check Your Understanding What would be different if the election also had a positive charge? Problem 5.2CYU: Check Your Understanding What would be different if q1 were negative? Problem 5.3CYU: Check Your Understanding What is the electric field due to a single point particle? Problem 5.4CYU: Check Your Understanding How would the strategy change to calculate the at a point a distance z... Problem 5.5CYU: Check Your Understanding How would the above limit change with a uniformly rectangle instead of a... Problem 5.6CYU: Check Your Understanding the electric field 100k like in a system with two parallel positively... Problem 1CQ: There are very large numbers of charged particles in most objects. Why, then, don't most objects... Problem 2CQ: Why do most objects tend to contain nearly equal numbers of positive and negative charges? Problem 3CQ: A positively charged It'd attracts a small piece of cork. (a) Can we conclude that the cork is... Problem 4CQ: Two bodies attract each other electrically. Do they both have to be charged? Answer the same... Problem 5CQ: How would you determine whether the charge on a particular rod is positive or negative? Problem 6CQ: An eccentlic inventor attempts to levitate a cork ball by wrapping it isith foil and placing a large... Problem 7CQ: When a glass rod is lubbed with silk, it becomes positive and the silk becomes negative—yet both... Problem 8CQ: Why does a car always attract dust right after it is polished? (Note that car wax and car tires are... Problem 9CQ: Does the uncharged conductor shown below expelience a net electric force? Problem 10CQ: While walking on a mg, a person frequently becomes charged because of the tubbing between his shoes... Problem 11CQ: Compare charging by conduction to charging by induction. Problem 12CQ: Small pieces of tissue are attracted to a charged comb. Soon after stirlrinp to the comb, the pieces... Problem 13CQ: Trucks that cany gasoline often have chains dangling from their undercaniages and blushing ground.... Problem 14CQ: Why do electrostatic experiments work so poorly in hunid weather? Problem 15CQ: Why do some clothes cling together after being removed from the clothes dryer? Does this happen if... Problem 16CQ: Can induction be used to produce charge on an insulator? Problem 17CQ: Suppose someone tells you that rubbing quartz with cotton cloth produces a third kind of charge on... Problem 18CQ: A handheld copper rod does not acquire a charge when you rub it with a cloth. Explain why. Problem 19CQ: Suppose you place a charge q near a large metal plate. (a) If q is attracted to to the plate, is the... Problem 20CQ: Would defining the charge on an electron to be positive have any effect on Coulomb's law? Problem 21CQ: An atomic nucleus contains positively charged protons and uncharged neutrons. Since nuclei do stay... Problem 22CQ: Is the fore between two fixed charges influenced by the plesence of other charges? Problem 23CQ: When measuring an electlic field, could we use a negative rather than a positive test charge? Problem 24CQ: During fair weather, the electric field due to the net charge on Earth points downward. Is Earth... Problem 25CQ: If the electric field at a point on the line between two charges is zero, what do you know about the... Problem 26CQ: Two charges lie along the x-axis. Is it nue that the net electric field always vanishes at some... Problem 27CQ: Give a plausible argument as to why the electric field outside an infinite charged sheet is... Problem 28CQ: Compare the electric fields of an infinite sheet of charge, an infinite, charged conducting plate,... Problem 29CQ: Describe the electric fields of an infinite charged plate and of two infinite, charged parallel... Problem 30CQ: A negative charge is placed at center of a ring of uniform positive charge. What is the motion (if... Problem 31CQ: If a point charge is released fmm rest in a unifonn electlic field, will it follow a field line?... Problem 32CQ: Under what conditions, if any, will the trajectory of a charged particle not follow a field line? Problem 33CQ: How would you experimentally distinguish an electlic field from a gravitational field? Problem 34CQ: A representation of an electric field shows 10 field lines perpendicular to a square plate. How many... Problem 35CQ: What is the ratio of the number of electlic field lines leaving a charge 10q and a charge q? Problem 36CQ: What are the stable orientation(s) for a dipole in an external electric field? What happens if the... Problem 37P: Common static electricity involves charges ranging from nanocoulombs to microcoulombs. (a) How many... Problem 38P: If 1.801020 electrons move through a pocket calculator during a full day's operation, how many... Problem 39P: To stat a car engine, the car battery moves 3.751021 electrons through the staffer motor. How many... Problem 40P: A certain lightning bolt moves 40.0 C of charge. How many fundamental units of charge is this? Problem 41P: A 2.5-g copper penny is given a charge of 2.0109C . (a) How many excess electrons are on the penny?... Problem 42P: A 2.5-g copper penny is given a charge of 4.0109C . (a) How many electrons ale removed from the... Problem 43P: Suppose a speck of dust in an electrostatic precipitator has 1.00001012 protons in it and has a net... Problem 44P: An amoeba has 1.001016 protons and a net charge of 0.300pC. (a) How many fewer electrons are there... Problem 45P: A 50.0-g ball of copper has a net charge of 2.00C. What fraction of the copper's electrons has... Problem 46P: What net charge would you place on a 100-g piece of sulfur if you put an extra electron on 1 in 1012... Problem 47P: How many coulombs of positive charge are there in 4.00 kg of plutonium given its atomic mass is 244... Problem 48P: Two point particles with charges +3C and +5C are held in place by 3-N forces on each charge in... Problem 49P: Two charges +3C and +12C are fixed 1 m apart, with the second one to the right. Find the magnitude... Problem 50P: In a salt crystal, the distance between adjacent sodium and chloride ions is 2.821010 m. What is the... Problem 51P: Protons in an atomic nucleus ale typically 1015 m apart. What is the electric fore of repulsion... Problem 52P: Suppose Earth and the Moon each carried a net negative charge Q . Approximate both bodies as point... Problem 53P: Point charges q1=50C and q2=25C are placed 1.0 m apart. What is the force on a third charge q3=20C... Problem 54P: Where must q3 of the preceding problem be placed so that the net force on it is zero? Problem 55P: Two small balls, each of mass 5.0 g, are attached to silk threads 50 cm long, which are in turn tied... Problem 56P: Point charges q1=2.0C and q3=4.0C arelocated at r1=(4.0i2.0j+5.0k) and r2=(8.0i+5.0j9.0k) .What is... Problem 57P: The net excess charge on two small spheres (small enough to be treated as point charges) is Q. Show... Problem 58P: Two small, identical conducting spheres repel each other with a force of 0.050 N when they are 0.25... Problem 59P: A charge q=2.0C is placed at the point P shown below. What is the fore on q? Problem 60P: What is the net electric fore on the charge located at the lower light-hand comer of the triangle... Problem 61P: Two fixed particles, each of charge 5.0106C , are 24 cm apart. What force do they exert on a third... Problem 62P: The charges q1=2.0107C, q2=4.0107C, and q3=1.0107C are placed at the corners of the triangle shown... Problem 63P: What is the force on the charge q at the lower-right-hand comer of the square shown here? Problem 64P: Point charges q1=10C and q2=30C are fixed at r1=(3.0i4.0j) m and r2=(9.0i6.0j) m What is the force... Problem 65P: A particle of charge 2.0108C experiences an upward force of magnitude 4.0106N when it is placed in a... Problem 66P: On a typical clear day, the atmospheric electric field points downward and has a magnitude of... Problem 67P: Consider an electron that is 1010 m from an alpha particle (q=3.21019C) . (a) What is the electric... Problem 68P: Each the balls shown below carries a charge q and has a mass m. The length of each thread is l, and... Problem 69P: What is the electric field at a point where the force on a 2.0106C chargeis (4.0i6.0j)106N ? Problem 70P: A proton is suspended in the air by an electric field at the surface of Earth. What is the strength... Problem 71P: The electric field in a particular thundercloud is 2.0105N/C . What is the acceleration of an... Problem 72P: A small piece of cork whose mass is 2.0 g is given a charge of 5.0107C . What electric field is... Problem 73P: If the electric field is 100 N/C at a distance of 50 cm from a point charge q, what is the value of... Problem 74P: What is the electric field of a proton at the first Bohr orbit for hydrogen (r=5.291011m) ? What is... Problem 75P: (a) What is the electric field of an oxygen nucleus at a point that is 1010 m from the nucleus? (b)... Problem 76P: Two point charges, q1=2.0107C and q2=6.0108C , are held 25.0 cm apart. (a) What is the electric... Problem 77P: Point charges q1=50C and q2=25C are placed 1.0 m apart. (a) What is the electric field at a point... Problem 78P: Can you arrange the two point charges q1=2.0106C and q2=4.0106C along the x-axis so that E=0 at the... Problem 79P: Point charges q1=q2=4.0106C are fixed on the x-axis at x=3.0 m and x=3.0 m. What charge q must be... Problem 80P: A thin conducting plate 1.0 m on the side is given a charge of 2.0106C . An electron is placed 1.0... Problem 81P: Calculate the magnitude and direction of the electric field 2.0 m from a long wire that is charged... Problem 82P: Two thin conducting plates, each 25.0 cm on a side, are situated parallel to one another and 5.0 mm... Problem 83P: The charge per unit length on the thin rod shown below is . What is the electric field at the point... Problem 84P: The charge per unit length on thin semicircular wire shown below is . What is the electric field at... Problem 85P: Two thin parallel conducting plates are placed 2.0 cm apart. Each plate is 2.0 cm on a side; one... Problem 86P: A thin conducing plate 2.0 m on a side is given a total charge of 10.0C . (a) What is the electric... Problem 87P: A total charge q is distributed uniformly along a thin, straight rod of length L (see below). What... Problem 88P: Charge is distributed along the entire x-axis uniform density . How much work does the electric... Problem 89P: Charge is distributed along the entire x-axis withuniform density x and along the entire y-axis... Problem 90P: A rod bent into the arc of a circle subtends an angle 2 at the center P of the circle (see below).... Problem 91P: A pluton moves in the electric field E=200iN/C . (a) What are the force on and the acceleration of... Problem 92P: An electron and a proton, each starting from rest, are accelerated by the same uniform electric... Problem 93P: A spherical water droplet of radius 25 m carries an excess 250 electrons. What vertical electric... Problem 94P: A proton enters the uniform electric field produced by the two charged plates shown below. The... Problem 95P: Shown below is a small sphere of mass 0.25 g that carries a charge of 9.01010 C. The sphere is... Problem 96P: Two infinite rods, each carrying a uniform charge density , are parallel to one another and... Problem 97P: Positive charge is distributed with a uniform density along the positive x-axis from r to , along... Problem 98P: From a distance of 10 cm, a proton is projected with a speed of v=4.0106 m/s directly at a large,... Problem 99P: A particle of mass m and charge q moves along a straight line away from a fixed particle of charge... Problem 100P: Which of the following electric field lines are incorrect for point charges? Explain why. Problem 101P: In this exercise, you practice electric field lines. Make sure you represent both the magnitude and... Problem 102P: Draw the electric field for a system of three particles of charges +1C , +2C , and 3C fixed at the... Problem 103P: Two charges of equal magnitude but opposite sign make up an electric dipole. A quadrupole consists... Problem 104P: Suppose the electric field of an isolated point charge decreased with distance as 1/r2+ rather than... Problem 105P: Consider the equal and opposite charges shown below. (a) Show that at all points on the x-axis for... Problem 106P: (a) What is the dipole moment of the configuration shown above? If Q=4.0C , (b) what is the torque... Problem 107P: A water molecule consists of two hydrogen atoms bonded with one oxygen atom. The bond angle between... Problem 108AP: Point charges q1=2.0C and q1=4.0C are located at r1=(4.0i2.0j+2.0k)m and r2=(8.0i+5.0j9.0k)m. What... Problem 109AP: What is the force on the 5.0C charge shown below? Problem 110AP: What is the force on the charge placed at the 2.0C center of the square shown below? Problem 111AP: Four charged particles are positioned at the corners of parallelogram as shown below. If q=5.0C and... Problem 112AP: A charge Q is fixed at the origin and a second charge q moves along the x-axis, as shown below. How... Problem 113AP: A charge q=2.0C is released from rest when it is 2.0 m from a fixed charge q=6.0C . What is the... Problem 114AP: What is the electric field at the midpoint M of the hypotenuse of the triangle shown below? Problem 115AP: Find the electric field at P for the charge configurations shown below. Problem 116AP: (a) What is the electric field at the lower-light-hand corner of the square shown below? (b) What is... Problem 117AP: Point charges are placed at the four corner of a rectangle as shown below: q1=2.0106C , q1=2.0106C ,... Problem 118AP: Three charges are positioned at the cornets of a parallelogram as shown below. (a) If Q=8.0C what is... Problem 119AP Problem 120AP: A particle of charge q and mass m is placed at the center of a uniformly charged ring of total... Problem 121AP: Charge is distributed uniformly along the entire y-axis with a density y and along the positive... Problem 122AP: The circular are shown below carries a charge per unit length =0 cos . Where is measured from the... Problem 123AP: Calculate the electric field due to a uniformly charged rod of length L, aligned with the x-axis... Problem 124AP: The charge unit length on the thin shown below is .What is the force on the point charge q? Solve... Problem 125AP: The charge per unit length on the thin rod shown here is . What is the electric force on the point... Problem 126AP: The charge per unit length on the thin semicircular wire shown below is . What is the electric... format_list_bulleted