- #31
Vibhor
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Option B) 
Charged particle in Electric and Magnetic field
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A charged particle projected in a uniform electric and magnetic field will return to the origin if specific conditions related to its velocity components and charge-to-mass ratio are met. The discussion emphasizes the need to analyze the Lorentz force acting on the particle, which influences its trajectory in three dimensions. The participants explore the equations of motion, focusing on the circular motion in the x-z plane and the vertical motion in the y-direction. They conclude that the conditions for the particle to return to the origin involve integer relationships between the velocity components and the fields. The problem-solving process highlights the interplay between circular and projectile motion, ultimately leading to a clearer understanding of the particle's behavior in the fields.
- #32
ehild
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CorrectVibhor said:Option B)
. Was it difficult?- #33
Vibhor
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ehild said:
It surely was until you took over
. Honestly speaking , I had almost made up my mind to leave this problem as I was completely clueless 
. But last couple of hours of problem solving were pretty exciting 
,thanks to you .You are amazing
.- #34
ehild
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It was the combination of a circular motion in the x,z plane and a vertical projectile motion in the direction of y. The period of the circular motion should be the same as the flight time of the vertical projectile.
Thank you for the thanks
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