In the product array l F =q( v B ) =q v (B t +B j +B_ n k ) array For q = 1 and v =2 i +4…

Physics · JEE Main · NTA ExamsMagnetic Effects of Current and Magnetism

In the product

\(\begin{array}{l} \vec{F}=q(\vec{v} \times \vec{B}) \\ =q \vec{v} \times\left(B \hat{\hat{t}}+B \hat{j}+B_{n} \hat{k}\right) \end{array}\)

For q = 1 and \(\vec{v}=2 \hat{i}+4 \hat{j}+6 \hat{k}\) and \(\vec{F}=4 \hat{i}-20 \hat{j}+12 \hat{k}\)

What will be the complete expression for \(\overrightarrow{\mathrm{E}}\) ?

  1. \(-8 \hat{i}-8 \hat{j}-6 \hat{k}\)
  2. \(-6 \hat{i}-6 \hat{j}-8 \hat{k}\)
  3. \(8 \hat{i}+8 \hat{j}-6 \hat{k}\)
  4. \(6 \hat{i}+6 \hat{j}-8 \hat{k}\)

Answer

(B) -6 i -6 j -8 k

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