Target Exam

CUET

Subject

Physics

Chapter

Electromagnetic Induction

Question:

A square of side L m lies in XY plane in a region, where the magnetic field is given by $B = B_0(2\hat i+3\hat j+4\hat k)T$ and $B_0$ a constant. The magnitude of the flux passing through the square is:

Options:

$2 B_0 L^2 Wb$

$3 B_0 L^2 Wb$

$4 B_0 L^2 Wb$

$\sqrt{29} B_0 L^2 Wb$

Correct Answer:

$4 B_0 L^2 Wb$

Explanation:

The correct answer is Option (3) → $4 B_0 L^2 Wb$

The magnetic flux $(\phi)$ through a surface is -

$\phi=\vec B.\vec A$

$=B_0(2\hat i+3\hat j+4\hat k).(L^2\hat k)$

$=4 B_0 L^2 Wb$