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Question

# A copper wire of cross-sectional area 2.0 mm2, resistivity =1.7×10−8Ωm, carries a current of 1 A. The electric field in the copper wire is

A
8.5×105V/m
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B
8.5×104V/m
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C
8.5×103V/m
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D
8.5×102V/m
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Solution

## The correct option is C 8.5×10−3V/mA copper wire of cross sectional area A=2.0mm2 =2×(10−3)2 =2×10−6m2resistivity =ρ=1.7×10−8Ωmcarries a current at I=1A.electric field in the copper wire R=DLA⟶(1)where R= resistance ρ= resistivity L= length A= areaI=VR (Using ohni's law) ⟶(2)E=Vq⟶(3)where E= electric field V= potential q= chargeE=I×Rq=I×P×lAq=1×1.7×10−δ×l2×10−69.6×10−19=1.7×10−δ×102×10−6×1.6×10−19×10=1732×10−8+6+119=8.5×10−3V/m

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