A 1 m long copper wire carries a current of 1 A. If the cross section of the wire is 2.0 mm² and the resistivity of copper is 1.7 × 10⁻⁸ Ω m, the force experienced by moving electron in the wire is ____________ × 10⁻²³ N. (charge on electron = 1.6 × 10⁻¹⁹ C) Numerical answer type. Work it out, then open the answer.

Answer: 136. J = I/A = 12 × 10⁻⁶ = 5 × 10⁵ A/m² E = ρ J = 1.7 × 10⁻⁸ × 5 × 10⁵ = 8.5 × 10⁻³ V/m F = eE = 1.6 × 10⁻¹⁹ × 8.5 × 10⁻³ = 1.36 × 10⁻²¹ N F = 136 × 10⁻²³ N, answer: 136

A 1 m long copper wire carries a current of 1 A. If the cross section… | JEE Main 2022 (27 Jul, Shift 1)

Q16JEE Main 2022 · 27 JUL · SHIFT 1Medium

Electric Current, Drift Velocity & Current Density

A $1\text{ m}$ long copper wire carries a current of $1\text{ A}$ . If the cross section of the wire is $2.0\text{ mm}^{2}$ and the resistivity of copper is $1.7 \times 10^{-8}\ \Omega\text{ m}$ , the force experienced by moving electron in the wire is ____________ $\times 10^{-23}\text{ N}$ .

(charge on electron $= 1.6 \times 10^{-19}\text{ C}$ )

Numerical answer type. Work it out, then open the answer.

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Answer: 136

$J = \dfrac{I}{A} = \dfrac{1}{2 \times 10^{-6}} = 5 \times 10^{5}\text{ A/m}^{2}$
$E = \rho J = 1.7 \times 10^{-8} \times 5 \times 10^{5} = 8.5 \times 10^{-3}\text{ V/m}$
$F = eE = 1.6 \times 10^{-19} \times 8.5 \times 10^{-3} = 1.36 \times 10^{-21}\text{ N}$
$F = 136 \times 10^{-23}\text{ N}$ , answer: 136

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