Part A The current density in a wire is proportional to the electric field strength. The constant of proportionality is the wire's resistance permittivity emissivity conductivity
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Electromagnetism Question. Choose the correct answer and show your working out: 12. A wire has an electric field of 6.2 V/m and carries a current density of 2.4 x 10^8 A/m^2. What is its resistivity? A) 6.7 x 10^-10 Ω⋅m B) 1.5 x 10^-8 Ω⋅m C) 2.6 x 10^-8 Ω⋅m D) 3.9 x 10^7 Ω⋅m E) 1.5 x 10^9 Ω⋅m
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(1a) Show that if a constant electric field is present along some length l of a current-carrying wire with cross-sectional area A, the relation V = iR can be written as E = ρJ, where ρ is the resistivity of the wire and J is the current density in the wire. [5 marks] (1b) An electric field E = 1.30 × 10^(-3) V/m is present all along a current-carrying copper wire with a diameter of 2.00 mm. Find the current density in the wire. [5 marks] (1c) Find the total current flowing in the wire. [5 marks] (1d) Find the resistance per unit length of the wire. [5 marks] (1e) Find the rate at which heat is generated per unit length of the wire due to its electrical resistance. [5 marks]
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1. Consider a wire made of silver that has a diameter of 0.20 mm where a uniform electric field of 0.30 V/m exists throughout its length. Note that the temperature of the wire is 40 °C and you can assume there is one free electron per atom of silver. a) Use Table 26-1 in your text to determine the resistivity of the wire. b) Find the current density in the wire. c) What is the total current in the wire? d) Find the drift speed of the conduction electrons. e) What is the potential difference applied to a 2.0 m length of the wire to generate the electric field noted at the start of the problem?
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