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An infinitely long solid insulating cylinder of radius a = 4.4 cm is positioned with its...

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 uC/m^3. Concentric with the cylinder is cylindrical conduction shell of inner radius b = 10.2cm and outer radius c= 12.2 cm. The conducting shell has a linear charge density = -0.33 uC/m.

1. What is Ey (R), the y-component of the electric field at point R, located a distance d =50cm from the original a long the y -axis is shown?

2. 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)?

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

4. The charge density of the insulating cylinder is now changed to new value , p' and it is found that the electric fiel at point p is now zero. What is the value of p?

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