The electron beam emerging from a certain high-energy electron accelerator has a circular cross section of radius 1.35 mm. (a) The beam current is 8.55 µA. Find the current density in the beam assuming it is uniform throughout.

Respuesta :

Answer:

J =1.49  J/m²    

Explanation:

Given that

Radius of circular cross section ,r= 1.35 mm

Current ,I = 8.55 µA

The current density J is given as

[tex]J=\dfrac{I}{A}[/tex]

A=Area

I=Current

[tex]J=\dfrac{I}{\pi r^2}[/tex]

Now by putting the values in the above equation

[tex]J=\dfrac{8.55\times 10^{-6}}{\pi \times (1.35\times 10^{-3})^2}\ A/m^2[/tex]

J =1.49  J/m²

Therefore the current density will be J =1.49  J/m².