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Moving Charges and Magnetism question

2023 · Q165
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Moving Charges and Magnetism question

2023 · Q165

NEETPhysicsMoving Charges and MagnetismMCQ+4 / −1

A wire carrying a current III along the positive x\mathrm{x}x-axis has length LLL. It is kept in a magnetic field B→=(2i^+3j^−4k^)T\overrightarrow{\mathrm{B}}=(2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}-4 \hat{\mathrm{k}}) \mathrm{T}B=(2i^+3j^​−4k^)T. The magnitude of the magnetic force acting on the wire is :

  1. A
    5 IL\sqrt{5} \mathrm{~IL}5​ IL
  2. B
    5 IL5 \mathrm{~IL}5 IL
  3. C
    3\sqrt{3}3​ IL
  4. D
    3 IL
View written solutionFree

Correct answer: B

$$\vec{F}=I(\vec{\ell} \times \vec{B})$$

$$ \begin{aligned} & =I[(L \hat{i}) \times(2 \hat{i}+3 \hat{j}-4 \hat{k})] \\\\ & =I(4 L \hat{j}+3 L \hat{k}) \end{aligned} $$

$$ |\vec{F}|=5 \text { IL } $$

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