An infinite line of charge with linear density λ1 = 8.3 μC/m is positioned along the axis of a thick insulating shell of inner radius a = 2.8 cm and outer radius b = 4.8 cm. The insulating shell is uniformly charged with a volume density of rho = -532 μC/m3. 1) What is λ2, the linear charge density of the insulating shell?2) What is Ex(P), the value of the x-component of the electric field at point P, located a distance 8.6 cm along the y-axis from the line of charge?3) What is Ey(P), the value of the y-component of the electric field at point P, located a distance 8.6 cm along the y-axis from the line of charge?4) What is Ex(R), the value of the x-component of the electric field at point R, located a distance 1.1 cm along a line that makes an angle of 30o with the x-axis?5) What is Ey(R), the value of the y-component of the electric field at point R, located a distance 1.1 cm along a line that makes an angle of 30o with the x-axis?6) For how many values of r: (2.2 cm < r < 4.3 cm) is the magnitude of the electric field equal to 0?7) If we were to double λ1 (λ1 = 12.2 μC/m), how would E, the magnitude of the electric field at point P, change?8) In order to produce an electric field of zero at some point r > 4.3 cm, how would λ1 have to change?