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3. Consider an electrical wire of circular cross section with radius R and electrical conductivity ke ohm1cm1. Through this wire there is an electrical current

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3. Consider an electrical wire of circular cross section with radius R and electrical conductivity ke ohm1cm1. Through this wire there is an electrical current with current density Iamp/cm2. The transmission of electrical current is an irreversible process and some electrical energy is converted into heat (thermal energy). The rate of heat production per unit volume is given by (I2/ke). a) Find the radial temperature distribution within the wire if the surface of the wire is maintained at T0. b) Determine the average temperature rise. c) What is the rate of heat transfer at the surface of the wire

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