A straight nichrome wire of uniform cross-sectional area and length carries a steady…

PHYSICS · Multi-part · Fermi University Physics · Electricity, Magnetism & Electromagnetism · Electric current and circuits · Electric current and circuits

Electricity, Magnetism and Electromagnetism, Ch Current, current density, conductivity and Ohm's law

Problem

A straight nichrome wire of uniform cross-sectional area

A = 0.50\,\mathrm{mm^2}

and length

L = 1.5\,\mathrm{m}

carries a steady current

I = 2.0\,\mathrm{A}

spread uniformly over its cross-section. The conductivity of nichrome is

\sigma_{\mathrm{c}} = 1.0\times10^{6}\,\mathrm{S\,m^{-1}}

, taken as constant throughout the wire. ((a)) Find the current density

J

in the wire. ((b)) Find the electric field

E

inside the wire. ((c)) Find the power dissipated per unit volume,

\mathbf{J}\cdot\mathbf{E}

. ((d)) Find the total power dissipated in the whole wire.

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