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JEE Main 202227 JulyMorning Shift
Exam
JEE Main
Year
2022
Date
27 July
Shift
Morning Shift
Subject
Physics
Chapter
Electrostatics

JEE Main 2022 · 27 July · Morning Shift · Physics · Electrostatics

A 1m long copper wire carries a current of 1A . If the cross...

A 1m1m long copper wire carries a current of 1A1A. If the cross section of the wire is 2.0mm22 . 0{mm}^{2} and the resistivity of copper is 1.7×10−8Ωm1 . 7 \times {10}^{- 8}Ωm. The force experienced by moving electron in the wire is _____×10−23N\times {10}^{- 23}N

(Charge of electron=1.6×10−19C= 1 . 6 \times {10}^{- 19}C )

Correct answer

0

Step-by-step solution

Given here, length l=1ml = 1m, current i=1Ai = 1A, area A=2×10−6mA = 2 \times {10}^{- 6}m and resistivity ρ=1.7×10−8Ωmρ = 1 . 7 \times {10}^{- 8}Ωm.

Resistance of wire is R=ρlA=1.7×10−8×12×10−5=1.72×10−2ΩR = \dfrac{ρl}{A} = \dfrac{1 . 7 \times {10}^{- 8} \times 1}{2 \times {10}^{- 5}} = \dfrac{1 . 7}{2} \times {10}^{- 2}Ω

Now, electric field in the wire is E=ρJE = ρJ, where, J=iAJ = \dfrac{i}{A} is current density.

Thus, E=iρA=iR=1×1.72×10−2Vm−1E = \dfrac{iρ}{A} = iR = 1 \times \dfrac{1 . 7}{2} \times {10}^{- 2}V{m}^{- 1}

Electric force in terms of electric field is given by F=qEF = qE

Therefore, force experienced by moving electron is F=1.6×10−19×1.72×10−2F = 1 . 6 \times {10}^{- 19} \times \dfrac{1 . 7}{2} \times {10}^{- 2}

=1.36×10−21= 1 . 36 \times {10}^{- 21}=136×10−23N= 136 \times {10}^{- 23}N

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