MathematicsState whether the following statement is true or false:A stationary charge is placed in a magnetic field. It experiences a force.

State whether the following statement is true or false:


A stationary charge is placed in a magnetic field. It experiences a force.


  1. A
    True
  2. B
    False 

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    Solution:

    The given statement is false.
    Concept: Charge which has a velocity with a direction not parallel or anti parallel to the magnetic field, experiences a force known as the Lorentz force. The magnitude of this force is given by the Lorentz force law.
    Formula used:
    q is the magnitude of charge on the particle with correct signs (for positive and negative charges respectively).
    The magnitude of this force is given by
    Where θ is the angle between the velocity and magnetic field vectors.
    The direction of the Lorentz force is perpendicular to the plane containing  For a stationary charged particle, v=0v=0, therefore from equation (1) , the force will also be zero.
    So, a stationary charge will not experience a force in a magnetic field and this would be the right statement.
    Hence, the given statement is false.
     
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