A uniform electric field of magnitude E = 100 kV/m is directed upward. Perpendicular to E and directed out of the page, there exists a uniform magnetic field of magnitude B = 0.5 T. A beam of particles of charge + q enters this region. What should be the chosen speed of the particles for which the particles will not be deflected by the crossed electric and magnetic field? Assume that the particles are moving in +ve direction.
Text Solution
AI Generated Solution
To solve the problem, we need to find the speed of the charged particles such that they experience no net force and thus are not deflected by the crossed electric and magnetic fields.
### Step-by-Step Solution:
1. **Identify the Forces Acting on the Particles**:
- The electric force (\(F_E\)) acting on the charged particles due to the electric field \(E\) is given by:
\[
F_E = qE
...
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