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Question 3 [20 marks Electric current with current density I is flowing through an electric wire of circular cross section with radius R and electrical conductivity ke (Figure Q3). Due to the flow of the electrical current within the wire, some electrical energy is converted into heat (thermal energy) and the rate of heat production (by electrical dissipation) per unit volume is given by: 12 ki The surface of the wire is maintained at temperature To Uniform heat production by electrical heating s 91 4+ Heat in by Heat out by conduction! I conduction Figure Q3 By performing shell energy balance in the wire, show that the heat flux and temperature distribution is given by: Ser ar = 2 SER T-To = - Sake (2-**] 4k State all boundary conditions that have been made in the derivation