CUET · PHYSICS · PYQ PAPER 2023
A square of side L m lies in the XY plane in a region where the magnetic field is \( \vec{B} = B_0(2\hat{i} + 3\hat{j} + 4\hat{k}) \text{ T.} \) The magnitude of magnetic flux through the square is:
- A \(2 B_0 L^2 Wb\)
- B \( 3B_0L^2 \text{ Wb} \)
- C \( 4B_0L^2 \text{ Wb} \)
- D \( \sqrt{29} B_0L^2 \text{ Wb} \)
Answer & Solution
Correct Answer
(C) \( 4B_0L^2 \text{ Wb} \)
Step-by-step Solution
Detailed explanation
\( \vec{A} = L^2 \hat{k} \) \( \Phi = \vec{B} \cdot \vec{A} = B_0(2\hat{i} + 3\hat{j} + 4\hat{k}) \cdot (L^2 \hat{k}) \) \( \Phi = B_0 L^2 (4) = 4 B_0 L^2 \text{ Wb} \)
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