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Please solve 10 and 11 parts correctly in 30 minutes and get thumbs up
An infinitely long solid insulating cylinder of radius a = 4.4 cm is positioned with its symmetry axis along the z-axis as shown. The cylinder is uniformly charged with a charge density p= 29 µC/m³. Concentric with the cylinder is a cylindrical conducting shell of inner radius b= 10.2 cm, and outer radius c= 12.2 cm. The conducting shell has a linear charge density 1 = -0.33µC/m. TR(0.4) P(a4) 7) What is E,(R), the y-component of the electric field at point R, located a distance d = 50 cm from the origin along the y-axis as shown? N/C 8) What is V(P) – V(R), the potential difference between points P and R? Point P is located at (x,y) =(50 cm, 50 cm). V 9) What is V(c) - V(a), the potentital difference between the outer surface of the conductor and the outer surface of the insulator? 10) 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? a. V(a) < 0 b. V(a) = 0 c. V(a) > 0 11) 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 12) Below is some space to write notes on this problem.
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Transcribed Image Text:An infinitely long solid insulating cylinder of radius a = 4.4 cm is positioned with its symmetry axis along the z-axis as shown. The cylinder is uniformly charged with a charge density p= 29 µC/m³. Concentric with the cylinder is a cylindrical conducting shell of inner radius b= 10.2 cm, and outer radius c= 12.2 cm. The conducting shell has a linear charge density 1 = -0.33µC/m. TR(0.4) P(a4) 7) What is E,(R), the y-component of the electric field at point R, located a distance d = 50 cm from the origin along the y-axis as shown? N/C 8) What is V(P) – V(R), the potential difference between points P and R? Point P is located at (x,y) =(50 cm, 50 cm). V 9) What is V(c) - V(a), the potentital difference between the outer surface of the conductor and the outer surface of the insulator? 10) 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? a. V(a) < 0 b. V(a) = 0 c. V(a) > 0 11) 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 12) Below is some space to write notes on this problem.
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