A non-uniform magnetic field exists in the free space and given as , where and are positive constants. A particle having positive charge ‘q’ and mass ‘m’ is projected with speed ‘ ’ along positive x-axis from the origin. The maximum distance of the charged particle from the y- axis before it turns back due to the magnetic field is D. (Ignore any interaction other than magnetic field). If , where are positive integers then find the value of ?
Since, magnetic filed and velocity are perpendicular, speed of particle will never change. At the moment of turning back, the direction of velocity becomes parallel to y axis.
So,
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A charged particle carrying charge q=1 mC moves in uniform magnetic field with velocity at angle 450 with x-axis in the xy-plane and experiences a force along the negative z-axis. When the same particle moves with velocity along the z-axis, it experiences a force F2 in y-direction. Find the magnitude of the force F2 (in N).
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