Chapter 32, Problem 5P

To determine

The magnetic strength of cyclotron

Answer to Problem 5P

Solution:

The magnetic strength B is 1.78 T

Explanation of Solution

Given info:

$\begin{array}{l}\omega =\text{3}.\text{1x1}{0}^{\text{7}}\text{rev}/\text{sec} \\ q=\text{1}.\text{6}\times \text{1}{0}^{-\text{19}}\text{C }\\ m=\text{1}.\text{67 x1}{0}^{-\text{27}}\text{kg}\end{array}$

Formula used:

The equation for magnetic strength is

$\begin{array}{l}\varpi =\frac{qB}{m}\\ B=\frac{\varpi m}{q}\end{array}$ ………………………………..I

Calculation:

Substituting the values in the above equation we get

$B=\text{1}.\text{78 T}$