10:24Electric Field (2 of 3) Calculating the Magnitude and Direction of the Electric FieldStep by Step Science516views
Multiple ChoiceA 1.5μC charge, with a mass of 50g, is in the presence of an electric field that perfectly balances its gravity. What magnitude does the electric field need to be, and in what direction does it need to point?1266views30rank5comments
Multiple ChoiceIf two equal charges are separated by some distance, they form an electric dipole. Find the electric field at the center of an electric dipole, given by the point P in the following figure, formed by a 1C and a −1C charge separated by 1 cm.1408views21rank9comments
Multiple Choice4 charges are arranged as shown in the following figure. Find the magnitude of the electric field at the center of the arrangement, indicated by the point P.1805views23rank12comments
Multiple ChoiceIn the following figure, a mass m is balanced such that its tether is perfectly horizontal. If the mass is m and the angle of the electric field is θ, what is the magnitude of the electric field, E, expressed in terms of m, q, and θ?850views14rank2comments
Multiple ChoiceA 1.2g plastic bead is given a charge of −14 nC by rubbing. What magnitude and direction of electric field is necessary to levitate the bead?340views
Textbook QuestionTwo positive point charges q are placed on the x-axis, one at x = a and one at x = -a. (a) Find the magnitude and direction of the electric field at x = 0.1193views
Textbook QuestionA +8.75-mC point charge is glued down on a horizontal frictionless table. It is tied to a -6.50-mC point charge by a light, nonconducting 2.50-cm wire. A uniform electric field of magnitude 1.85 * 10^8 N/C is directed parallel to the wire, as shown in Fig. E21.34. (b) What would the tension be if both charges were negative?1211views
Textbook QuestionA +8.75-mC point charge is glued down on a horizontal frictionless table. It is tied to a -6.50-mC point charge by a light, nonconducting 2.50-cm wire. A uniform electric field of magnitude 1.85 * 10^8 N/C is directed parallel to the wire, as shown in Fig. E21.34. (a) Find the tension in the wire.415views1rank
Textbook QuestionA very long, straight wire has charge per unit length 3.20 * 10^-10 C/m. At what distance from the wire is the electricfield magnitude equal to 2.50 N/C?1898views
Textbook QuestionTwo positive point charges q are placed on the x-axis, one at x = a and one at x = -a. (b) Derive an expression for the electric field at points on the x-axis. Use your result to graph the x-component of the electric field as a function of x, for values of x between -4a and +4a56views
Textbook QuestionA point charge is placed at each corner of a square with side length a. All charges have magnitude q. Two of the charges are positive and two are negative (Fig. E21.42). What is the direction of the net electric field at the center of the square due to the four charges, and what is its magnitude in terms of q and a?547views
Textbook QuestionA 10.0 nC charge is located at position (x, y)=(1.0 cm, 2.0 cm). At what (x, y) position(s) is the electric field c. (21,600 î−28,800ĵ) N/C?425views
Textbook QuestionA small 1.0 g block charged to 75 nC is placed on a 30° inclined plane. The coefficients of static and kinetic friction are 0.20 and 0.10, respectively. What minimum strength horizontal electric field is needed to keep the block from sliding down the plane?657views1rank
Textbook QuestionAn electric field E=200,000î N/C causes the point charge in FIGURE P22.68 to hang at an angle. What is θ?636views1rank
Textbook QuestionThree 1.0 nC charges are placed as shown in FIGURE P22.66. Each of these charges creates an electric field E at a point 3.0 cm in front of the middle charge. a. What are the three fields E₁, E₂, and E₃ created by the three charges? Write your answer for each as a vector in component form.43views
Textbook QuestionA 0.10 g honeybee acquires a charge of +23 pC while flying. b. What electric field (strength and direction) would allow the bee to hang suspended in the air?237views
Textbook QuestionA −12 nC charge is located at (x, y)=(1.0 cm, 0 cm). What are the electric fields at the positions (x, y)=(5.0 cm, 0 cm), (−5.0 cm, 0 cm), and (0 cm, 5.0 cm)? Write each electric field vector in component form.503views
Textbook QuestionA −15 nC charge is at x=+2.0 cm on the x-axis. A second charge q is located somewhere on the x-axis to the left of the origin. The electric field at y=2.0 cm on the y-axis is Ē =3.0×105 î N/C . What are (a) the charge q in nC and (b) its distance from the origin?570views
Textbook QuestionA thin, horizontal, 10-cm-diameter copper plate is charged to 3.5 nC. If the charge is uniformly distributed on the surface, what are the strength and direction of the electric field (a) 0.1 mm above the center of the top surface of the plate?248views
Textbook QuestionCALC Charge Q is uniformly distributed along a thin, flexible rod of length L. The rod is then bent into the semicircle shown in FIGURE P23.48. a. Find an expression for the electric field Ē at the center of the semicircle. Hint: A small piece of arc length Δs spans a small angle Δθ=Δs/R , where R is the radius.225views
Textbook QuestionFIGURE P23.41 is a cross section of two infinite lines of charge that extend out of the page. Both have linear charge density λ. Find an expression for the electric field strength E at height y above the midpoint between the lines.166views
Textbook QuestionTwo 10-cm-diameter charged disks face each other, 20 cm apart. The left disk is charged to −50 nC and the right disk is charged to +50 nC. a. What is the electric field Ē, both magnitude and direction, at the midpoint between the two disks?128views
Textbook Question(II) An electron moving to the right at 7.5 x 10⁵ m/s enters a uniform electric field parallel to its direction of motion. If the electron is to be brought to rest in the space of 5.0 cm,(a) what direction is required for the electric field, and(b) what is the strength of the field?118views
Textbook Question(I) A proton is released in a uniform electric field, and it experiences an electric force of 1.68 x 10⁻¹⁴ N toward the south. Find the magnitude and direction of the electric field.86views
Textbook Question(II) Determine the magnitude of the acceleration experienced by an electron in an electric field of 756 N/C. How does the direction of the acceleration depend on the direction of the field at that point?83views
Textbook Question(II) What is the electric field strength at a point in space where a proton experiences an acceleration of 2.4 million “g’s”?86views
Textbook Question(II) Calculate the electric field at the center of a square 42.5 cm on a side if one corner is occupied by a ―33.8 μC charge and the other three are occupied by ―22.0 μC charges.83views
Textbook Question(II) At what position, 𝓍 = 𝓍ₘ , is the magnitude of the electric field along the axis of the ring of Example 21–10 a maximum?81views
Textbook Question(II) Estimate the electric field at a point 2.40 cm perpendicular to the midpoint of a uniformly charged 2.00-m-long thin wire carrying a total charge of 7.45 μC.89views
Textbook QuestionConsider an oil droplet of mass m and charge q. We want to determine the charge on the droplet in a Millikan-type experiment. We will do this in several steps. Assume, for simplicity, that the charge is positive and that the electric field between the plates points upward. (c) A spherical object of radius r moving slowly through the air is known to experience a retarding force Fₔᵣₐ₉ = −6πηr v where η is the viscosity of the air. Use this and your answer to part b to show that a spherical droplet of density ρ falling with a terminal velocity vₜₑᵣₘ has a radius . r = √9ηvₜₑᵣₘ / 2pg468views
Textbook QuestionThe identical small spheres shown in FIGURE P22.64 are charged to +100 nC and −100 nC. They hang as shown in a 100,000 N/C electric field. What is the mass of each sphere?996views
Textbook QuestionAn electret is similar to a magnet, but rather than being permanently magnetized, it has a permanent electric dipole moment. Suppose a small electret with electric dipole moment 1.0×10^−7 C m is 25 cm from a small ball charged to +25 nC , with the ball on the axis of the electric dipole. What is the magnitude of the electric force on the ball?653views
Textbook QuestionA point charge q1 = -4.00 nC is at the point x = 0.600 m, y = 0.800 m, and a second point charge q2 = +6.00 nC is at the point x = 0.600 m, y = 0. Calculate the magnitude and direction of the net electric field at the origin due to these two point charges.3497views
Textbook QuestionA -4.00-nC point charge is at the origin, and a second -5.00-nC point charge is on the x-axis at x = 0.800 m. (a) Find the electric field (magnitude and direction) at each of the following points on the x-axis: (i) x = 0.200 m; (ii) x = 1.20 m; (iii) x = -0.200 m. (b) Find the net electric force that the two charges would exert on an electron placed at each point in part (a).1232views
Textbook Question(a) Calculate the magnitude and direction (relative to the +x-axis) of the electric field in Example 21.6. Example 21.6: A point charge q = -8.0 nC is located at the origin. Find the electric-field vector at the field point x = 1.2 m, y = -1.6 m.474views
Textbook QuestionElectric Field of the Earth. The earth has a net electric charge that causes a field at points near its surface equal to 150 N/C and directed in toward the center of the earth. (a) What magnitude and sign of charge would a 60-kg human have to acquire to overcome his or her weight by the force exerted by the earth's electric field?902views
Textbook QuestionElectric Field of the Earth. The earth has a net electric charge that causes a field at points near its surface equal to 150 N/C and directed in toward the center of the earth. (b) What would be the force of repulsion between two people each with the charge calculated in part (a) and separated by a distance of 100 m? Is use of the earth's electric field a feasible means of flight? Why or why not?326views
Textbook QuestionA charge of -6.50 nC is spread uniformly over the surface of one face of a nonconducting disk of radius 1.25 cm. (d) Why is the field in part (a) stronger than the field in part (b)? Why is the field in part (c) the strongest of the three fields?452views
Textbook QuestionThe electric field at a point in space is E =(400î+100jˆ) N/C. a. What is the electric force on a proton at this point? Give your answer in component form.295views
Textbook QuestionThe nuclei of large atoms, such as uranium, with 92 protons, can be modeled as spherically symmetric spheres of charge. The radius of the uranium nucleus is approximately 7.4×10−15 m. (b) What magnitude of electric field does it produce at the distance of the electrons, which is about 1.0×10−10 m?471views
Textbook QuestionA Van de Graaff generator is a device for generating a large electric potential by building up charge on a hollow metal sphere. A typical classroom-demonstration model has a diameter of 30 cm. b. What is the electric field strength just outside the surface of the sphere when it is charged to 500,000 V?112views
Textbook QuestionWhat are the strength and direction of the electric field 1.0 mm from (a) a proton and192views
Textbook QuestionA hollow copper sphere has inner radius 1.0 cm and outer radius 2.5 cm. A 5.0 A current flows radially outward from the inner surface to the outer surface. What is the electric field strength at r=2.0 cm?255views
Textbook Question(II) Two point charges, Q₁ = ― 32 μC and Q₂ = +45μC , are separated by a distance of 12 cm. The electric field at the point P (see Fig. 21–61) is zero. How far from Q₁ is P? <IMAGE>90views
Textbook Question(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 Q₁ to Q₂, the electric field is zero (Fig. 21–64). What is the ratio Q₁/Q₂? <IMAGE>74views
Textbook Question(II) A positive charge q is placed at the center of a circular ring of radius R. The ring carries a uniformly distributed negative charge of total magnitude ― Q.(a) If the charge q is displaced from the center a small distance x as shown in Fig. 21–71, show that it will undergo simple harmonic motion when released.(b) If its mass is m, what is its period?<IMAGE>85views
Textbook QuestionA point charge of mass 0.145 kg, and net charge +3.40 μC, hangs at rest at the end of an insulating cord above a large sheet of charge. The horizontal sheet of fixed uniform charge creates a uniform vertical electric field in the vicinity of the point charge. The tension in the cord is measured to be 5.18 N.(a) Calculate the magnitude and direction of the electric field due to the sheet of charge (Fig. 21–80).(b) What is the surface charge density σ(C/m²) on the sheet?<IMAGE>32views
Textbook QuestionThree very large square charged planes are arranged as shown (on edge) in Fig. 21–78. From left to right, the planes have charge densities per unit area of -0.50μC/m² , +0.25 μC/m² and -0.35 μC/m². Find the total electric field (direction and magnitude) at the points A, B, C, and D. Assume the plates are much larger than the distance AD.<IMAGE>20views
Textbook Question(II) Determine the direction and magnitude of the electric field at the point P shown in Fig. 21–66. The two point charges are separated by a distance of 2a. Point P is 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. <IMAGE>35views
Textbook Question(II) A very long uniformly charged wire (linear charge density λ = 2.5 C/m) lies along the x axis in Fig. 21–59. A small charged sphere (Q = ―2.0 C) is at the point x = 0 cm , y = ― 5.0 cm? . What is the electric field at the point x = 7.0 cm, y = 7.0 cm? Eᵥᵥᵢᵣₑ (→ above E) and Eq (→ above E ) represent fields due to the long wire and the charge Q, respectively. <IMAGE>56views