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  •   A charged particle carrying charge  is moving with velocity <img alt="\left ( 2\hat

 

A charged particle carrying charge 1\mu C is moving with velocity \left ( 2\hat{i}+ 3\hat{j}+4\hat{k} \right )ms^{-1}. If an external MF of \left ( 5\hat{i}+3\hat{j}-6\hat{k} \right )\times 10^{-3}T  exists in the region where the particle is moving then the force on the particle is \underset{F}{\rightarrow}\times 10^{-9}N The vector \underset{F}{\rightarrow} is

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- \(q=1 \mu C=10^{-6} C\) - \(\vec{v}=2 \hat{i}+3 \hat{j}+4 \hat{k} m / s\) - \(\vec{B}=(5 \hat{i}+3 \hat{j}-6 \hat{k}) \times 10^{-3} T\)

Formula: \[ \vec{F}=q(\vec{v} \times \vec{B}) \]

Cross product: \[ \vec{v} \times \vec{B}=-30 \hat{i}+32 \hat{j}-9 \hat{k} \]

Final force: \[ \vec{F}=(-30 \hat{i}+32 \hat{j}-9 \hat{k}) \times 10^{-9} N \]

Posted by

Divya Sharma

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