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23 November, 16:12

An electron moves with velocity v⃗ = (5.9i-6.4j) * 104m/s in a magnetic field B⃗ = (-0.63i+0.65j) T. Determine the z-component of the force on the electron. Fz=?

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  1. 23 November, 19:44
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    Force on the electron = q (v x B)

    q = - 1.6 x 10⁻¹⁹

    v = (5.9i-6.4j) * 10⁴

    B = (-0.63i+0.65j)

    v x B = (5.9i-6.4j) * 10⁴ x (-0.63i+0.65j)

    = (3.835 - 4.032) x 10⁴ k

    = - 1970 k

    Force on the electron = q (v x B)

    = - 1.6 x 10⁻¹⁹ x - 1970 k

    = 3.152 x 10⁻¹⁶ k

    z-component of the force on the electron

    Fz = 3.152 x 10⁻¹⁶ N
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