STANDARDPhysics-Electromagnetic Induction

STANDARD Physics Magnetic Flux MCQ Question

Type: MCQ-conceptual-Medium-Class 12

A square of side x m lies in the x-y plane in a region, where the magnetic field is given by B = B₀(3i + 4j + 5k)T, taking B₀ as constant. The magnitude of flux passing through the square is

A

5 B₀x² Wb

B

3 B₀x² Wb

C

2 B₀x² Wb

D

B₀x² Wb

Correct Answer

Option A

Detailed Explanation

The magnetic flux through the square is given by the dot product of the magnetic field and the area vector. Here, the area vector is perpendicular to the x-y plane, so it is along the k direction. The dot product B • A = B₀(3i + 4j + 5k) • x²k = 5 B₀x² Wb.

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