Calculate magnetic field from magnetic force on a charged particleThe magnetic force, charge, and velocity of a particle are given. I am asked to find the magnetic field. q = − 2 μ C v → = ( − i ^ + 3 j ^ ) × 10 6 m / s F → = ( 3 i ^ + j ^ + 2 k ^ ) N B x = 0

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Calculate magnetic field from magnetic force on a charged particleThe magnetic force, charge, and velocity of a particle are given. I am asked to find the magnetic field.  q  =  −  2        μ    C              v      →        =  (  −            i      ^        +  3            j      ^        )  ×      10    6        m          /        s              F      →        =  (  3            i      ^        +            j      ^        +  2            k      ^        )      N        B          x        =  0

Alexzander Guerrero · Accepted Answer

Use the equation of Lorentz force to calculate the field vector.In your case, there is no electric field. So calculate accordingly.Given:       B    x    =  0Take       B    y   and       B    z   to be the other components. Calculate the cross product and then compare the coefficients of the unit vectors, to get the answer.Hope it helps.

timbreoizy · Accepted Answer

Let             B      →        =      B    y              j      ^        +      B    z              k      ^       (since,       B    x    =  0) be the magnetic field then the magnetic force (      F    m  ) acting on the charge, is given as      F    m    =  q  (            v      →        ×            B      →        )      F    m    =  q  (            v      →        ×            B      →        )setting the corresponding values of             F      →      ,   q,             v      →       &amp;amp;             B      →      ,  3            i      ^        +            j      ^        +  2            k      ^        =  2  ×      10          −      6        ×      10          6        (  (  −            i      ^        +  3            j      ^        )  )  (      B    y              j      ^        +      B    z              k      ^        )  3            i      ^        +            j      ^        +  2            k      ^        =  2  (  3      B    z              i      ^        +      B    z              k      ^        −      B    y              k      ^        )  3            i      ^        +            j      ^        +  2            k      ^        =  6      B    z              i      ^        +  2      B    z              k      ^        −  2      B    y              k      ^      Now, compare the corresponding coefficients on both the sides, to find       B    y   &amp;amp;       B    z   &amp;amp; then the magnetic field             B      →

Calculate magnetic field from magnetic force on a charged particle The magnetic force, charge, and

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