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An infinitely long solid insulating cylinder of radius a = 4.3 cm is positioned

ID: 252012 • Letter: A

Question

An infinitely long solid insulating cylinder of radius a = 4.3 cm is positioned with its symmetry axis along the z-axis as shown. The cylinder is uniformly charged with a charge density ? = 38 ?C/m3. Concentric with the cylinder is a cylindrical conducting shell of inner radius b = 16.7 cm, and outer radius c = 19.7 cm. The conducting shell has a linear charge density ? = -0.45?C/m.

An infinitely long solid insulating cylinder of radius a 34.3 cm is positioned with its symmetry axis along the z-axis as shown. The cylinder is uniformly charged with a charge density p -138 (d,d) (0,d) uc/m3. Concentric with the cylinder is a cylindrical conducting shell of inner radius b 16.7 cm, and outer radius c 19.7 cm. The conducting shell has a linear charge density -0.45 HC/m. 1) What is Ey(R), the y component of the electric field at point R, located a distance d 48 cm from ther (origin along the y-axis as shown? -1.216E4 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) (48 cm, 48 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

Explanation / Answer

Ans 2- (-5837)V

Ans 3- (8150.4821)V

Ans 4- V(a)<0

If we move outwards from the center then we’re moving with the E field which decreases the potential.