Please I need help with the following: An infinitely long solid insulating cylin

Question

Please I need help with the following:

An infinitely long solid insulating cylinder of radius a = 2.9 cm is positioned with its symmetry axis along the z-axis as shown. The cylinder is uniformly charged with a charge density ? = 21 ?C/m3. Concentric with the cylinder is a cylindrical conducting shell of inner radius b = 18.9 cm, and outer radius c = 21.9 cm. The conducting shell has a linear charge density ? = -0.49?C/m.

1) What is Ey(R), the y-component of the electric field at point R, located a distance d = 54 cm from the origin along the y-axis as shown?

2) What is V(P)

Please I need help with the following: An infinitely long solid insulating cylinder of radius a = 2.9 cm is positioned with its symmetry axis along the z-axis as shown. The cylinder is uniformly charged with a charge density ? = 21 ?C/m3. Concentric with the cylinder is a cylindrical conducting shell of inner radius b = 18.9 cm, and outer radius c = 21.9 cm. The conducting shell has a linear charge density ? = -0.49?C/m.

Explanation / Answer

can provide you a little hint might be usefull to you :

Use gauss's law to find the E-field in the space between the two cylinders. I believe it is;
E = pa^2/2eor , eo=dielectric cnst., p=43x10^-6 C/m3.

Then integrate from r=a to r=b to find;
V(b) - V(a) = -INT[Edr] , r=a to b

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