An infinitely long solid insulating cylinder of radius a = 2.1cm is positioned with its...

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 ρ = 27μC/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 λ = -0.36μC/m.

1 What is E_y(R), the y-component of the electric field at point R, located a distance d = 46 cm from the origin along the y-axis as shown?

2 What is V(P) - V(R), the potential difference between points P and R? Point P is located at (x,y) = (46 cm, 46 cm).

3 What is V(c) - V(a), the potentital difference between the outer surface of the conductor and the outer surface of the insulator?

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?

5 The charge density of the insulating cylinder is now changed to a new value,ρ’ and it is found that the electric field at point P is now zero. What is the value of ρ’?

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genius_generous answered 2 years ago

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