Respuesta :
Answer:
The angle is 89°.
Explanation:
Given that,
Electric field = 10 N/C
Electric flux = 0.01 N-m²/C
Area [tex]A=\pi\times(0.1)^2[/tex]
We need to calculate the angle
Using formula of electric flux
[tex]\phi=EA\cos\theta[/tex]
[tex]\cos\theta=\dfrac{\phi}{EA}[/tex]
Where, E = electric field
[tex]\phi[/tex] = electric flux
A = area
Put the value into the formula
[tex] \cos\theta=\dfrac{\dfrac{0.01}{2}}{10\times\pi\times(0.1)^2}[/tex]
[tex]\theta=\cos^{-1}(0.01592)[/tex]
[tex]\theta=89.0^{\circ}[/tex]
Hence, The angle is 89°.
The angle required to rotate the sheet to reduce the electric flux by 1/2 is 89 degrees.
What is electric flux?
The number of electric lines that interact the area of a given object or space.
It can be given as,
[tex]\phi=ES\cos \theta[/tex]
Here, [tex]E[/tex] is the magnitude of electric field, [tex]S[/tex] is the area of surface and [tex]\theta[/tex] is the angle between electric field and perpendicular.
Given information-
The dimensions of sheet of cardboard is 0.1 by 0.1.
The sheet is placed between the uniform electricity field of 10 N/C.
Put the values in the above formula as,
[tex]\dfrac{0.01}{2} =10\times\pi\times{0.1^2}\times\cos \theta\\\theta=cos^-(0.01592)\\\theta=89^o[/tex]
Hence the angle required to rotate the sheet to reduce the electric flux by 1/2 is 89 degrees.
Learn more about the electric flux here;
https://brainly.com/question/26289097
