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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.
A charged particle is placed at rest at a point P whose coordinates are (2,3,0) and a magnetic field `vecB = 5 xx 10^(-3) hatk` is present here. What is the magnetic force experienced by the charge ?

Text Solution

Verified by Experts

Magnetic force on the charge is zero because it is at rest i.e, its velocity `vecv` is zero.
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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. Define SI unit of magnetic field on the basis of Lorentz force.

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?

Knowledge Check

  • 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

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

  • A particle of charge q moves with a velocity vecv = ahati in a magnetic field of vecB = b hatj + c hatk where a ,b and c are constants. The magnetic of the force experienced by the particle is

    A
    0
    B
    qa(b+c)
    C
    `qa(b^(2)-c^(2))^(1//2)`
    D
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