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A square conducting coil of area 100 cm² is placed normally inside a uniform magnetic field of 10³ Wb m⁻², that is, with its plane perpendicular to the field. The magnetic flux linked with the coil is ______ Wb.

Asked in GSEB Board July 2017 · Flux through a surface

Answer: (1) 10

Step-by-step solution

Given: A = 100 cm² = 100 × 10⁻⁴ m² = 10⁻² m²; B = 10³ Wb m⁻²; plane of the coil perpendicular to ⃗B.

Idea: Φ = BA cos θ, where θ is the angle between ⃗B and the normal to the coil.

The plane is perpendicular to the field, so the normal is along the field: θ = 0° and cos θ = 1.

Φ = 10³ × 10⁻² = 10 Wb.

So the flux linked with the coil is 10 Wb.

Why the other options are wrong

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