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- The electric field 10.0 cm from the surface of a copper ball of radius 5.0 cm is directed toward the ball's center and has magnitude 4.0102 N/C. How much charge is on the surface of the ball?arrow_forwardTwo 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_forwardA very large nonconducting plate lying in the xy-plane carries a charge per unit area of 3?. A second such plate located at z = 2.40 cm and oriented parallel to the xy-plane carries a charge per unit area of −2?. Find the electric field for the following. (a) when z<0 (b) when 0 < z < 2.40 cm (c) when z > 2.40 cmarrow_forward
- Compute the magnitude of the electric field at the point x = 30 cm on the x-axis.arrow_forwardA coaxial cable consists of a wire of radius a surrounded by a thin metal cylin-drical shell of radius b. The wire has a uniform linear charge density λ >0 and the outer shell has a uniform linear charge density−λ. ( a) Sketch the field lines for this cable. (b) Find expressions for the magnitude of the electric field in the regionsrarrow_forwardA long straight conducting cable (cylindrical in shape like a long straight wire) has a radius of a = 0.5 cm. At a perpendicular distance of r = 3 cm from the center of the cable, the electric field has a magnitude of 7 N/C, and is directed radially inward. How much charge per unit length (in C/m) exists on the cable?arrow_forward
- A long, conductive cylinder of radius R1=2.80 cm and uniform charge per unit length 1-453 pC/m is coaxial with a long, cylindrical, nonconducting shell of inner and outer radii R2=9.80 cm and R3=11.2 cm, respectively. If the cylindrical shell carries a uniform charge density of p=79.8 pC/m3, find the magnitude of the electric field at each radial distance indicated. 1.15 cm: 8.96 cm: 10.6 cm: 14.3 cm:arrow_forwardA uniformly charged rod of length L lies along the x-axis with its right end at the origin. The rod has a total charge of Q. A point P is located on the x-axis a distance a to the right of the origin. Write an equation for the electric field dE at point P due to the thin slice of the rod dx. Give the answer is terms of the variables Q, L, x, a, dx, and coulombs constant k. Integrate the electric field contributions from each slice over the length of the rod to write an equation for the net electric field E at point P. Calculate the magnitude of the electric field E in kilonewtons per coulomb (kN/C) at point P due to the charged rod if L = 2.2m, Q = 8.5 μC and a = 1.1m.arrow_forwardCharge of a uniform density (11 pC/m?) is distributed over the entire xy plane. A charge of uniform density (6 pC/m2) is distributed over the parallel plane defined by z = 2.0 m. Determine the magnitude of the electric field for any point with z = 3.0 m.arrow_forward
- The electric field due to a uniformly charged ring of radius R and total charge Q > 0 above its center. A small test charge q < 0 is released from z = ∞ with zero initial speed. The moment the test charge passes the center point, the radius of the circular ring is halved and its charge is doubled. What is the maximum distance that the test charge can move along the z-axis?arrow_forwardThe electric field everywhere on the surface of a thin, spherical shell of radius 0.775 m is of magnitude 897 N/C and points radially toward the center of the sphere. (a) What is the net charge within the sphere's surface? X If the net charge inside the sphere is moved to the center of the sphere would this change the value of the electric field on the surface? nC (b) What is the distribution of the charge inside the spherical shell? O The negative charge has an asymmetric charge distribution. O The positive charge has a spherically symmetric charge distribution. The negative charge has a spherically symmetric charge distribution. O The positive charge has an asymmetric charge distribution. 4arrow_forwardYou are working as an intern for a meteorological laboratory. You are out in the field taking measurements with a device that measures electric fields. You measure the electric field in the air immediately above the Earth's surface to be 165 N/C directed downward. (Assume the radius of the Earth is 6.37 ✕ 106 m.) (A) Determine the surface charge density (in C/m2) on the ground. (B) Imagine the surface charge density is uniform over the planet. Determine the charge (in C) of the whole surface of the Earth. (C) Determine the Earth's electric potential (in V) due to the charge found in (b). (D) Determine the difference in potential (in V) between the head and the feet of a person 1.60 m tall. (Ignore any charges in the atmosphere.)arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
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