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When we consider a point charge q moving...

When we consider a point charge q moving with a velocity `vecv` at a given time in presence of magnetic field `vecB`, the charged particle experiences a magnetic force `vecF_m = q[vecv xx vecB]`. The force was first given by H.A. Lorentz and is called the Lorentz magnetic force. The force depends on q, `vecv and vecB` and involves a vector product of `vecv and vecB`. The force acts in a side ways direction perpendicular to both the velocity and magnetic field and the direction is given by right hand thumb rule for vector product. Obviously force on a negative charge is opposite to that on a positive charge.
When will a moving charge experience maximum force due to a magnetic field?

Text Solution

Verified by Experts

The moving charge experiences maximum force `F = q vB` when `vecv` and `vecB` are in mutually perpendicular directions.
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When we consider a point charge q moving with a velocity vecv at a given time in presence of magnetic field vecB , the charged particle experiences a magnetic force vecF_m = q[vecv xx vecB] . The force was first given by H.A. Lorentz and is called the Lorentz magnetic force. The force depends on q, vecv and vecB and involves a vector product of vecv and vecB . The force acts in a side ways direction perpendicular to both the velocity and magnetic field and the direction is given by right hand thumb rule for vector product. Obviously force on a negative charge is opposite to that on a positive charge. Under what condition does a moving charge experience minimum force due to a magnetic field present there?

When we consider a point charge q moving with a velocity vecv at a given time in presence of magnetic field vecB , the charged particle experiences a magnetic force vecF_m = q[vecv xx vecB] . The force was first given by H.A. Lorentz and is called the Lorentz magnetic force. The force depends on q, vecv and vecB and involves a vector product of vecv and vecB . The force acts in a side ways direction perpendicular to both the velocity and magnetic field and the direction is given by right hand thumb rule for vector product. Obviously force on a negative charge is opposite to that on a positive charge. Define SI unit of magnetic field on the basis of Lorentz force.

Knowledge Check

  • A charged particle moves with a velocity vecv in a uniform magnetic field vecB . The magnetic force experienced by the particle is

    A
    always zero
    B
    zero if `vecv` and `vecB` are perpendicular
    C
    never zero
    D
    zero if `vecv` and `vecB` are parallel or antiparallel.

  • An electric charge q is moving with a velocity w in the direction of a magnetic field B. The magnetic force acting on the charge is

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    B
    zero
    C
    `q/(vB)`
    D
    `v/(qB)`

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