A charge of $2.0\,\mu C$ moves with a speed of $3.0 \times {10^6}\,m{s^{ - 1}}$ along $+ ve$ $X$ - axis $A$ magnetic field of strength $\vec B = - 0.2\,\,\hat k$ $Tesla$ exists in space. What is the magnetic force $({\overrightarrow F _m})$ on the charge
Medium
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(c) By using ${\overrightarrow F _m} = q(\overrightarrow {v\,} \times \overrightarrow B )$
$ \Rightarrow {\overrightarrow F _m} = 2 \times {10^{ - 6}}\{ 3 \times {10^6}\hat i \times ( - 0.2)\hat k\} $ $ = - 1.2(\hat i \times \hat k) = + 1.2\hat j$
i.e., $1.2\, N$ in positive $y$ direction.
$ \Rightarrow {\overrightarrow F _m} = 2 \times {10^{ - 6}}\{ 3 \times {10^6}\hat i \times ( - 0.2)\hat k\} $ $ = - 1.2(\hat i \times \hat k) = + 1.2\hat j$
i.e., $1.2\, N$ in positive $y$ direction.
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