Deuteron in a cyclotron describes a circle of radius `32.0cm`. Just before emerging from the `D's`. The frequency of the applied alternating voltage is `10MHz`. Find
a. the magnetic flux density (i.e. the magnetic field).
b. the energy and speed of the deutron upon emergence.
Deuteron in a cyclotron describes a circle of radius `32.0cm`. Just before emerging from the `D's`. The frequency of the applied alternating voltage is `10MHz`. Find
a. the magnetic flux density (i.e. the magnetic field).
b. the energy and speed of the deutron upon emergence.
a. the magnetic flux density (i.e. the magnetic field).
b. the energy and speed of the deutron upon emergence.
Text Solution
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To solve the problem, we will break it down into two parts:
### Part (a): Finding the Magnetic Flux Density (Magnetic Field)
1. **Identify the given values:**
- Radius of the circular path \( r = 32.0 \, \text{cm} = 0.32 \, \text{m} \)
- Frequency of the applied alternating voltage \( f = 10 \, \text{MHz} = 10 \times 10^6 \, \text{Hz} \)
- Charge of the deuteron \( q = 1.6 \times 10^{-19} \, \text{C} \)
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