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Magnetic flux through a plane area in a uniform field

This type of question, asked 3 times: 25 Apr 2025 S1, 20 Apr 2026 S2, 14 May 2026 S2. All 3 questions below, oldest first.

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  1. Question 1

    25 Apr 2025 S1

    27
    A square of side ' LL ' metre lies in xx - yy plane in a region where the magnetic field is B→\overrightarrow{B} and B→=B0(2i^+3j^+4k^)\overrightarrow{B}=B_{0}(2\widehat{i}+ 3\widehat{j}+ 4\widehat{k}), where B0B_{0} is constant. The magnitude of flux passing through the square (in weber) is

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  2. Question 2

    20 Apr 2026 S2

    135
    A circular disc of radius 20 cm is placed in uniform magnetic field of induction 722 Wb/m2\dfrac{7}{22}\ \mathrm{Wb/m^2} in such a way that its axis makes an angle of 60∘60^\circ with B⃗\vec{B}. The magnetic flux linked with the disc is (cos⁡60∘=0.5)(\cos 60^\circ = 0.5)

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  3. Question 3

    14 May 2026 S2

    135
    A square of side L metre lies in the XY plane in a region, where the magnetic field is B⃗=B0(2i^+3j^+4k^)\vec{B} = B_0(2\hat{i} + 3\hat{j} + 4\hat{k}), where B0B_0 constant. The magnitude of flux passing through the square is

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