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Write an expression in a vector form for the Lorentz magnetic force `vecF` on a charge Q moving with velocity `vecV` in a magnetic field `vecB`. What is the direction of the magnetic force?

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To solve the problem, we need to derive the expression for the Lorentz magnetic force in vector form and determine its direction. Let's break this down step by step. ### Step 1: Understanding the Lorentz Force The Lorentz force is the force experienced by a charged particle moving in a magnetic field. It is a combination of electric and magnetic forces, but here we will focus on the magnetic component. ### Step 2: Writing the Expression for Lorentz Magnetic Force The expression for the Lorentz magnetic force \( \vec{F} \) on a charge \( Q \) moving with velocity \( \vec{V} \) in a magnetic field \( \vec{B} \) is given by: \[ ...
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Write the expression, in a vector form, for the Lorentz magnetic force vecF due to a charge moving with velocity vecV in a magnetic field vecB . What is the direction of the magnetic force?

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Knowledge Check

  • The force on a charged particle moving with a velocity oversettov in a magnetic field oversettoB is :

    A
    perpendicular to both `oversettov` and `oversettoB`
    B
    maximum, if `ovrsettov` perpendicular to `oversettoB`
    C
    maximum, if `ovrsettov` parallel to `oversettoB`
    D
    zero, if `ovrsettov` is parallel to `oversettoB`

  • The force on a charged particle moving with a velocity oversettov in a magnetic field oversettoB is :

    A
    perpendicular to both `oversettov` and `oversettoB`
    B
    maximum, if `ovrsettov` perpendicular to `oversettoB`
    C
    maximum, if `ovrsettov` parallel to `oversettoB`
    D
    zero, if `ovrsettov` is parallel to `oversettoB`

  • The force acting on a charge 'q' moving with a velocity V in a magnetic field of induction B is given by

    A
    `(q)/(vecV xx vecB)`
    B
    `vecV xx vec B)/(q)`
    C
    `q(vecV xx vecB)`
    D
    `(vecV. vecB) q`

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    An elelctron moves with velocity vecv=ahatk in a magnetic field, vecB=bhati+chatj . Find the magnetic force on the electron.

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