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Magnetic force on a moving charge or a wire using the cross product with a vector field

This type of question, asked 2 times: 22 Apr 2025 S2, 16 Apr 2026 S1. All 3 questions below, oldest first.

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  1. Question 1

    22 Apr 2025 S2

    36
    A wire of length LL carries current II along xx - axis. A magnetic field B→=B0(i^−j^−k^)T\overrightarrow{B}=B_{0}(\widehat{i}-\widehat{j}-\widehat{k})T acts on the wire. The magnitude of magnetic force acting on the wire is

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  2. Question 2

    22 Apr 2025 S2

    28
    A particle of charge qq moves with a velocity V→=ai^\overrightarrow{V}= a\widehat{i} in a magnetic field B→=bj^+ck^\overrightarrow{B}= b\widehat{j}+ c\widehat{k}, where ' a ', ' b ' and ' c ' are constants. The magnitude of force experienced by particle is

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  3. Question 3

    16 Apr 2026 S1

    132
    A wire carrying current 'I' along x axis has length 'L' and it is kept in a magnetic field B(i^+2j^−2k^)B(\hat{i} + 2\hat{j} - 2\hat{k}) T. The magnitude of magnetic force acting on the wire is

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