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Question 3 [25 marks y Cross-section view 1 Z a Charge is uniformly distributed through the volume of an infinitely long cylindrical insulator of radius a and relative permittivity. The region outside the cylinder is free space. Derive an expression for the electric field intensity E inside (r <a) and outside (r>a) the cylindrical insulator in free space. State which law you used. Use volume charge density p, in your final answer. Cleary motivate symmetry arguments used.