Respuesta :
Complete question
The complete question is shown on the first and second uploaded image
Answer:∈
Answer to first question is shown on the second uploaded image.
Part B the Answer is:
The ratio [tex]\frac{R}{a}[/tex] is evaluated to be 49.99
Explanation:
The explanation is shown on the third ,fourth and fifth image.





The ratio [tex]\frac{R}{a}[/tex] is "49.9975".
Ratio Calculation:
For the last part, we should have
[tex]\to E = 0.99 \frac{\eta }{\varepsilon_0 }[/tex]
Therefore we should have
[tex]\to \frac{\eta}{\varepsilon_0}(1-\frac{1}{\sqrt{ (\frac{2R}{a})^2+1}}) = 0.99 \frac{\eta}{\varepsilon_0}[/tex]
[tex]\to (1-\frac{1}{\sqrt{ (\frac{2R}{a})^2+1}}) = 0.99 \\\\\to 1-0.99= \frac{1}{\sqrt{ (\frac{2R}{a})^2+1}}\\\\ \to 0.01= \frac{1}{\sqrt{ (\frac{2R}{a})^2+1}} \\\\\to \sqrt{ (\frac{2R}{a})^2+1}= 100\\\\\to (\sqrt{ (\frac{2R}{a})^2+1})^2= 100^2\\\\\to (\frac{2R}{a})^2+1= 10000\\\\\to (\frac{2R}{a})^2= 10000-1\\\\\to (\frac{2R}{a})^2= 9999\\\\\to \frac{2R}{a}= 99.9995\\\\\to \frac{R}{a}= 49.9975\\\\[/tex]
Note:
- The given question is incomplete so, the complete question is defined in the attached file please find it.
Find out more information about the sheet here:
brainly.com/question/8752535
