A horizontal straight wire 5 m long extending from east to west is falling freely at right angle to horizontal component of earths magnetic field 0.60 × 10⁻⁴ Wb m⁻². The instantaneous value of emf induced in the wire when its velocity is 10 ms⁻¹ is _________ × 10⁻³ V. Numerical answer type. Work it out, then open the answer.

Answer: 3. Wire (E–W), velocity (down) and BH (N) are mutually perpendicular, so ε = BH l v. ε = 0.60×10⁻⁴ × 5 × 10 = 3×10⁻³ V Answer: 3 (i.e. 3×10⁻³ V).

A horizontal straight wire 5 m long extending from east to west is… | JEE Main 2024 (29 Jan, Shift 2)

Q18JEE Main 2024 · 29 JAN · SHIFT 2Easy

Motional EMF

A horizontal straight wire $5\text{ m}$ long extending from east to west is falling freely at right angle to horizontal component of earths magnetic field $0.60 \times 10^{-4}\text{ Wb m}^{-2}$ . The instantaneous value of emf induced in the wire when its velocity is $10\text{ ms}^{-1}$ is _________ $\times 10^{-3}\text{ V}$ .

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

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Answer: 3

Wire (E–W), velocity (down) and $B_H$ (N) are mutually perpendicular, so $\varepsilon = B_H l v$ .
$\varepsilon = 0.60\times10^{-4} \times 5 \times 10 = 3\times10^{-3}$ V
Answer: $3$ (i.e. $3\times10^{-3}$ V).

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Motional EMF question from JEE Main 2024 (29 Jan, Shift 2)

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