4) Consider an electro at rest and is. accelerated by an electric potential of 150V. After this acceleration the particle leaves the electric potential enters a region with a uniform magnetic field of 0.5T that is oriented perpendicular to the motion of the electron. What force is experienced by the electron if its velocity is perpendicular to the magnetic field?

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**Problem 4: Particle Motion in Electric and Magnetic Fields**

Consider an electron at rest that is accelerated by an electric potential of 150 V. After this acceleration, the particle enters a region with a uniform magnetic field of 0.5 T, which is oriented perpendicular to the motion of the electron. 

*Question:* What force is experienced by the electron if its velocity is perpendicular to the magnetic field?

**Explanation:**

- *Electric Potential and Acceleration*: An electron accelerated through an electric potential difference gains kinetic energy. 
- *Magnetic Force*: When a charged particle moves through a magnetic field, it experiences a force if the velocity is perpendicular to the field. This force can be calculated using the formula: 
  \[
  F = qvB \sin(\theta)
  \]
  where:
  - \( F \) is the magnetic force,
  - \( q \) is the charge of the particle,
  - \( v \) is the speed of the particle,
  - \( B \) is the magnetic field strength,
  - \( \theta \) is the angle between the velocity and the magnetic field (90 degrees in this case, so \(\sin(90^\circ) = 1\)).
Transcribed Image Text:**Problem 4: Particle Motion in Electric and Magnetic Fields** Consider an electron at rest that is accelerated by an electric potential of 150 V. After this acceleration, the particle enters a region with a uniform magnetic field of 0.5 T, which is oriented perpendicular to the motion of the electron. *Question:* What force is experienced by the electron if its velocity is perpendicular to the magnetic field? **Explanation:** - *Electric Potential and Acceleration*: An electron accelerated through an electric potential difference gains kinetic energy. - *Magnetic Force*: When a charged particle moves through a magnetic field, it experiences a force if the velocity is perpendicular to the field. This force can be calculated using the formula: \[ F = qvB \sin(\theta) \] where: - \( F \) is the magnetic force, - \( q \) is the charge of the particle, - \( v \) is the speed of the particle, - \( B \) is the magnetic field strength, - \( \theta \) is the angle between the velocity and the magnetic field (90 degrees in this case, so \(\sin(90^\circ) = 1\)).
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