only HA 1.3 is required help

HA 1.3 rl'he eld E of a uniformly charged shell at any point inside the shell. [2-5 points] Consider the same shell as in HA- 1} Calculate E at any point inside E by means of Coulomb"s law and the superposition principle of H. You are NCi'l' allowed to use any electronic calculators such as 1iill-"olfrannalpha to solve this problem. [2f] points] 2} Assume Coulomb's hosr was given by E'(P) l \"(Flags . {HALL} 41163 rpg Calculate E' at any point inside and outside 2 by means of Eq. [HALllI and the super position principle. The latter is assumed to be valid also for 5'. You ARE allowed to use electronic calculators such as 1rill-"olfrazme.lpha to solve this problem. [4 points] 3} Plot and compare the results for E and ," inside and outside B. You AR]: allowed to use electronic calculators such as 1ill-"olfranilil.lpha to solve this problem. [1 points] As always, show calculations in full. For points 1] and 2].. solve the integrals by substitution. HA 1.2 The field E of a uniformly charged shell at any point outside the shell. [45 points] Consider a charge q uniformly distributed on the surface of a hollow sphere (shell) E of radius R. 1) Calculate E at any point outside _ by means of Coulomb's law and the superposition principle of E. Hint: Use the result for a loop of charge to construct the charged shell as infinite loops of charge. Alternatively, you can define the surface element of a sphere in spherical coordinates and set up your integral from there. You are NOT allowed to use any electronic calculators such as WolframAlpha to solve this problem. [40 points] 2) Show that the so-obtained field is the same field generated by a point-like charge q located at the centre of E. [5 points] Show calculations in full.HA 1.1 The field E of a broken ring. [30 points] Consider a plastic beam folded in a circular shape, as shown in Fig. HAL.1. The radius R of the so-formed broken ring is 1 m. The (minimum) distance 2d between the extreme points A and B is 1 cm. Assume the beam carries a uniformly distributed positive charge q of 1 /C. 1) Without any approximation, calculate the electrostatic field E in the center O of the broken ring (always show the chosen coordinate system, all relevant field components, and, if nec essary comment the result. All calculations must be shown in full). You are NOT allowed to use any electronic calculators such as WolframAlpha to solve this problem. [20 points] 2) Can you think of a way of solving the same problem with good accuracy but resorting to a reasonable approximation instead of integrating Coulomb's law brute force? [10 points] A Figure HA