Respuesta :
Answer:
Electric field, [tex]E_x=470.87\ N/C[/tex]
Explanation:
It is given that,
Radius of the circular loop, r = 13 cm = 0.13 m
Electric flux in the positive x direction, [tex]\phi_x=25\ Nm^2/C[/tex]
Electric flux in the positive y direction, [tex]\phi_y=-75\ Nm^2/C[/tex]
The formula of the electric flux is given by :
[tex]\phi=EA[/tex]
In x- direction, [tex]\phi_x=E_x\times \pi r^2[/tex]
Where, [tex]E_x[/tex] is the electric field in x direction.
[tex]E_x=\dfrac{\phi_x}{\pi r^2}[/tex]
[tex]E_x=\dfrac{25}{\pi (0.13)^2}[/tex]
[tex]E_x=470.87\ N/C[/tex]
So, the x-component of the electric field is 470.87 N/C. Hence, this is the required solution.
The x-component of the electric field is 471.11 N/C.
How do you calculate the electric field?
Given that the radius of the circular loop is 13 cm. The flux through the loop in positive x-direction is Φ1 = 25 N•m2/C, the flux through the loop in the positive y-direction is Φ2 = -75 N•m2/C and in the positive z-direction the flux through the loop is zero.
The electric field can be calculated as given below.
[tex]E = \dfrac {\phi}{A}[/tex]
Where E is the electric field and A is the area of the circular loop. For the x-component, the electric field is given below.
[tex]E_x = \dfrac {\phi_1}{\pi r^2}[/tex]
[tex]E_x = \dfrac {25}{3.14\times 0.13^2}\\[/tex]
[tex]E_x = 471.11 \;\rm N/C[/tex]
Hence we can conclude that the x-component of the electric field is 471.11 N/C.
To know more about the electric field, follow the link given below.
https://brainly.com/question/12757739.
