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An infinitely long solid insulating cylinder of radius a = 2.1 cm is positioned with its symmetry axis along the z-axis as shown. The cylinder is uniformly charged with a charge density p = 28 µC/m3. Concentric with the cylinder is a cylindrical conducting shell of inner radius b = 14.9 cm, and outer radius c = 17.9 cm. The conducting shell has a linear charge density A = -0.36µC/m. R(0,4) P(a4) 1) What is Ev(R), the y-component of the electric field at point R, located a distance d = 47 cm from the origin along the y-axis as shown? N/C Submit 2) What is V(P) - V(R), the potential difference between points P and R? Point P is located at (x,y) = (47 cm, 47 cm). V Submit 3) What is V(c) - V(a), the potentital difference between the outer surface of the conductor and the outer surface of the insulator? V Submit 4) Defining the zero of potential to be along the z-axis (x = y = 0), what is the sign of the potential at the surface of the insulator? Ov(a) < 0 Ov(a) = 0 Ov(a) > 0 Submit 5) The charge density of the insulating cylinder is now changed to a new value, p' and it is found that the electric field at point P is now zero. What is the value of p'? µC/m³ Submit

An infinitely long solid insulating cylinder of radius a = 2.1 cm is positioned with its symmetry axis along the z-axis as shown. The cylinder is uniformly charged with a charge density p = 28 µC/m3. Concentric with the cylinder is a cylindrical conducting shell of inner radius b = 14.9 cm, and outer radius c = 17.9 cm. The conducting shell has a linear charge density A = -0.36µC/m. R(0,4) P(a4) 1) What is Ev(R), the y-component of the electric field at point R, located a distance d = 47 cm from the origin along the y-axis as shown? N/C Submit 2) What is V(P) - V(R), the potential difference between points P and R? Point P is located at (x,y) = (47 cm, 47 cm). V Submit 3) What is V(c) - V(a), the potentital difference between the outer surface of the conductor and the outer surface of the insulator? V Submit 4) Defining the zero of potential to be along the z-axis (x = y = 0), what is the sign of the potential at the surface of the insulator? Ov(a) < 0 Ov(a) = 0 Ov(a) > 0 Submit 5) The charge density of the insulating cylinder is now changed to a new value, p' and it is found that the electric field at point P is now zero. What is the value of p'? µC/m³ Submit

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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An infinitely long solid insulating cylinder of radius a = 2.1 cm is positioned with its symmetry axis along the z-axis as shown. The cylinder is uniformly charged with a charge density p = 28 µC/m3. Concentric with the cylinder is a cylindrical conducting shell of inner radius b = 14.9 cm, and outer radius c = 17.9 cm. The conducting shell has a linear charge density A = -0.36µC/m. R(0,4) Pas) 1) What is Ey(R), the y-component of the electric field at point R, located a distance d = 47 cm from the origin along the y-axis as shown? N/C Submit 2) What is V(P) - V(R), the potential difference between points P and R? Point P is located at (x,y) = (47 cm, 47 cm). V Submit 3) What is V(c) - V(a), the potentital difference between the outer surface of the conductor and the outer surface of the insulator? v Submit 4) Defining the zero of potential to be along the z-axis (x = y = 0), what is the sign of the potential at the surface of the insulator? V(a) < 0 V(a) = 0 Ov(a) > 0 Submit 5) The charge density of the insulating cylinder is now changed to a new value, p' and it is found that the electric field at point P is now zero. What is the value of p'? µC/m3 Submit
Transcribed Image Text:An infinitely long solid insulating cylinder of radius a = 2.1 cm is positioned with its symmetry axis along the z-axis as shown. The cylinder is uniformly charged with a charge density p = 28 µC/m3. Concentric with the cylinder is a cylindrical conducting shell of inner radius b = 14.9 cm, and outer radius c = 17.9 cm. The conducting shell has a linear charge density A = -0.36µC/m. R(0,4) Pas) 1) What is Ey(R), the y-component of the electric field at point R, located a distance d = 47 cm from the origin along the y-axis as shown? N/C Submit 2) What is V(P) - V(R), the potential difference between points P and R? Point P is located at (x,y) = (47 cm, 47 cm). V Submit 3) What is V(c) - V(a), the potentital difference between the outer surface of the conductor and the outer surface of the insulator? v Submit 4) Defining the zero of potential to be along the z-axis (x = y = 0), what is the sign of the potential at the surface of the insulator? V(a) < 0 V(a) = 0 Ov(a) > 0 Submit 5) The charge density of the insulating cylinder is now changed to a new value, p' and it is found that the electric field at point P is now zero. What is the value of p'? µC/m3 Submit
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