Question

Consider a wire of length L and a circular cross section of radius a. The ends of the wire are maintained at a potential difference of V. Let the current in the wire be I and assume that the metal of the wire obeys Ohm's Law, J = ? E where ? is the metal's conductivity (which is a real constant). Prove that the problem parameters must be related as V = I R and give the expression for the resistance, R, of the wire.

Name: Consider a wire of length L and a circular cross section of radius a. The ends of the wire are maintained at a potential difference of V. Let the current in the wire be I and assume that the metal of the wire obeys Ohm's Law, J = ? E where ? is the metal's conductivity (which is a real constant). Prove that the problem parameters must be related as V = I R and give the expression for the resistance, R, of the wire.
Uploaded: 2023-01-22T20:54:07-08:00
Duration: 1 min 51 s
Channel: Timothy James

          Consider a wire of length L and a circular cross section of radius a. The ends of the wire are maintained at a potential difference of V. Let the current in the wire be I and assume that the metal of the wire obeys Ohm's Law, J = ? E where ? is the metal's conductivity (which is a real constant). Prove that the problem parameters must be related as V = I R and give the expression for the resistance, R, of the wire.

Consider a wire of length L and a circular cross section of radius a. The ends of the wire are maintained at a potential difference of V. Let the current in the wire be I and assume that the metal of the wire obeys Ohm's Law, J = ? E where ? is the metal's conductivity (which is a real constant). Prove that the problem parameters must be related as V = I R and give the expression for the resistance, R, of the wire.

Added by Jacob J.

University Physics with Modern Physics

Hugh D. Young 14th Edition

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Consider a wire of length L and circular cross section of radius a. The ends of the wire are maintained at a potential difference of V. Let the current in the wire be I and assume that the metal of the wire obeys Ohm's Law, J = σ E where σ is the metal's conductivity (which is a real constant). Prove that the problem parameters must be related as V = I R and give the expression for the resistance, R, of the wire.