When `Euarr uarrB`e and particle velocity is perpendicuular to both of these field.
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To solve the problem, we need to analyze the motion of a charged particle in the presence of both electric and magnetic fields when the velocity of the particle is perpendicular to both fields. Let's break this down step by step.
### Step 1: Understanding the Setup
We have:
- An electric field \( \mathbf{E} \) in the y-direction.
- A magnetic field \( \mathbf{B} \) in the x-direction.
- The velocity \( \mathbf{v} \) of the particle is perpendicular to both \( \mathbf{E} \) and \( \mathbf{B} \).
...
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