A net charge is placed onto a spherical conductor. Which of the following best describes the symmetry of the charge distribution, and therefore the resulting electric field?
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A net charge is placed onto a spherical conductor. Which of the following best describes the symmetry of the charge distribution, and therefore the resulting electric field?
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- A charge of q = 2.00 109 G is spread evenly on a thin metal disk of radius 0.200 m. (a) Calculate the charge density on the disk. (b) Find the magnitude of the electric field just above the center of the disk, neglecting edge effects and assuming a uniform distribution of charge.The electric field at a point on the perpendicular bisector of a charged rod was calculated as the first example of a continuous charge distribution, resulting in Equation 24.15:E=kQy12+y2j a. Find an expression for the electric field when the rod is infinitely long. b. An infinitely long rod with uniform linear charge density also contains an infinite amount of charge. Explain why this still produces an electric field near the rod that is finite.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).
- Consider a charge configuration comprising two point sources, one carrying a positive charge and the other a negative charge. The magnitude of the negative charge is three times as large as the positive charge. Construct a careful sketch of the electric field around the configuration.A conducting sphere is placed within a conducting spherical shell. The conductors are in electrostatic equilibrium. The inner sphere has a radius of 1.50 cm, the inner radius of the spherical shell is 2.25 cm, and the outer radius of the shell is 2.75 cm. The inner sphere has a charge of 228 nC and the spherical shell has zero net charge. What is the electric field at a point 3.80 cm from the center? Enter a positive answer if the electric field is directed away from the center and a negative answer if the electric field is directed toward the center.A uniform spherical charge distribution has radius R. Which of the following is true of the electric field strength due to the charge distribution at a distance r from the center of the charge? a) It is directly proportional to r when r>R b) It is directly proportional to r when r<RI've been told that the answer is b, but I'm not entirely sure what logic or formulas were used to reach this conclusion.
- Assume you have a line of positive charge with a linear charge density of 10.0 µC/m. Assume that this line of charge is infinitely long and lies on the z-axis (which is perpendicular to both the x- and y-axes). a) Find the strength and direction of the electric field associated with this line of charge at (0.5 m, 0 m, 0 m) The strength of the field at the stated point is N/C and the direction of the field at the stated point is O-x O+x O-y O+y O-z O+z b) Find the strength and direction of the electric field associated with this line of charge at (0 m, 0.5 m, 5 m) The strength of the field at the stated point is N/C and the direction of the field at the stated point is O-x O+x O-y O+y O-z O+z c) Find the strength and direction of the electric field associated with this line of charge at (2.0 m, 0 m, Om) The strength of the field at the stated point is N/C and the direction of the field at the stated point is O-x O+x O-y O+y O-z O+zA continuous line of charge lies along the x axis, extending from x = + x0 to positive infinity. The line carries charge with a uniform linear charge density λ0. What are the magnitude and direction of the electric field at the origin?A positive charge Q is distributed uniformly along the positive y-axis between y=0 and y=a. A negative point charge, -q, lies on the positive x-axis, a distance x from the origin. Calculate the x and y components of the Electric field produced by the charge distribution Q at points on the positive x axis.
- The electric field everywhere on the surface of a thin, spherical shell of radius 0.745 m is of magnitude 915 N/C and points radially toward the center of the sphere. (a) What is the net charge within the sphere's surface? nC (b) What is the distribution of the charge inside the spherical shell? O The negative charge has a spherically symmetric charge distribution. O The positive charge has a spherically symmetric charge distribution. O The positive charge has an asymmetric charge distribution. O The negative charge has an asymmetric charge distribution.Two bidirectionally infinite line charges exist in vacuum. One has a charge density of -8 nC/m at x = -6, y = -3, while the other has a charge density of 6 nC/m at y = -8, z = -1. Determine the y-component of the electric field in V/m at (7, 7, 3). All coordinates are measured in meters.The electric field E = C1ấx + C2ấy + C3ấ₂ V/m at point P(0, 1, 0) given a point charge of 3 nC at the origin, a line charge distribution of 8 nC/m at x = = 4, y = -3, and a plane charge of 0.5 nC/m² at z = 5. All coordinates are given in meters. Assume free space. What is the numerical value of C₁? What is the numerical value of c₂? What is the numerical value of C3?
