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 Exams — Magnetic 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 \(\overrightarrow{\mathrm{E}}\) ?
- \(-8 \hat{i}-8 \hat{j}-6 \hat{k}\)
- \(-6 \hat{i}-6 \hat{j}-8 \hat{k}\)
- \(8 \hat{i}+8 \hat{j}-6 \hat{k}\)
- \(6 \hat{i}+6 \hat{j}-8 \hat{k}\)
Answer
(B) -6 i -6 j -8 k
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