An electron moves in an uniform magnetic field (with the orbital plane perpendicular to the field). If the cylotron radius of the electron is 60 cm and it's kinetic energy is 5.5 kev, find the electron's speed, the magnitude of the magnetic field, the cyclotron frequency, and the period of the motion. Use m. = 9.11 x 10-1 kg, e = 1.6 × 10-19 c, and1T = 10* G. The speed, v = Units Select an answer The magnetic field, B = Units Select an answer The cyclotron frequency, f = Units Select an answer The period, T = Units |Select an answer V

College Physics
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Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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**Problem Description:**

An electron moves in a uniform magnetic field (with the orbital plane perpendicular to the field). The cyclotron radius of the electron is 60 cm, and its kinetic energy is 5.5 keV. The task is to find the electron's speed, the magnitude of the magnetic field, the cyclotron frequency, and the period of the motion.

**Given Data:**

- Mass of electron, \( m_e = 9.11 \times 10^{-31} \, \text{kg} \)
- Charge of electron, \( e = 1.6 \times 10^{-19} \, \text{C} \)
- Magnetic field conversion, \( 1 \, \text{T} = 10^4 \, \text{G} \)

**Required Calculations:**

1. **The Speed of Electron, \( v \):**
   - Input field for answer.
   - Units: Select an appropriate option (e.g., m/s).

2. **The Magnetic Field, \( B \):**
   - Input field for answer.
   - Units: Select an appropriate option (e.g., Tesla, Gauss).

3. **The Cyclotron Frequency, \( f \):**
   - Input field for answer.
   - Units: Select an appropriate option (e.g., Hz).

4. **The Period of Motion, \( T \):**
   - Input field for answer.
   - Units: Select an appropriate option (e.g., seconds).

**Note:**
This educational resource requires the student to compute and fill in the values based on the given formulas and select the correct units for each quantity.
Transcribed Image Text:**Problem Description:** An electron moves in a uniform magnetic field (with the orbital plane perpendicular to the field). The cyclotron radius of the electron is 60 cm, and its kinetic energy is 5.5 keV. The task is to find the electron's speed, the magnitude of the magnetic field, the cyclotron frequency, and the period of the motion. **Given Data:** - Mass of electron, \( m_e = 9.11 \times 10^{-31} \, \text{kg} \) - Charge of electron, \( e = 1.6 \times 10^{-19} \, \text{C} \) - Magnetic field conversion, \( 1 \, \text{T} = 10^4 \, \text{G} \) **Required Calculations:** 1. **The Speed of Electron, \( v \):** - Input field for answer. - Units: Select an appropriate option (e.g., m/s). 2. **The Magnetic Field, \( B \):** - Input field for answer. - Units: Select an appropriate option (e.g., Tesla, Gauss). 3. **The Cyclotron Frequency, \( f \):** - Input field for answer. - Units: Select an appropriate option (e.g., Hz). 4. **The Period of Motion, \( T \):** - Input field for answer. - Units: Select an appropriate option (e.g., seconds). **Note:** This educational resource requires the student to compute and fill in the values based on the given formulas and select the correct units for each quantity.
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