A point charge q is at a distance of d/2 directly above the centre of ...
No...the flux will remain the same.
In the first case if we consider a cube around that point charge then according to guass law, the flux come out to be q/6€ . If we increase the charge to distance d as well as the side of cube to 2d, then it is also as the same case as before, i e, the point charge is at centre of cube...so in this case also it cones out to be q/6€
A point charge q is at a distance of d/2 directly above the centre of ...
Effect of Moving Point Charge and Increasing Square Size on Electric Flux
Introduction
In this scenario, we have a point charge q above the center of a square of side d. We are then asked to move this point charge to a distance of d from the center of the square and double the size of the square. In this response, we will discuss how this change will affect the electric flux.
Electric Flux Definition
Electric flux is defined as the number of electric field lines passing through a surface. It is given by the product of the electric field and the area of the surface.
Effect of Moving Point Charge
When the point charge is moved from a distance of d/2 to d, the electric field at any point on the surface of the square will decrease. This is because the electric field varies inversely with the square of the distance. Therefore, as the distance between the point charge and the surface of the square increases, the electric field decreases.
Effect of Doubling the Size of the Square
When the size of the square is doubled, the area of the surface is quadrupled. Therefore, the electric flux through the surface will also quadruple. This is because the electric flux is directly proportional to the area of the surface.
Overall Effect on Electric Flux
The effect of moving the point charge and doubling the size of the square on the electric flux is opposite. While moving the point charge reduces the electric flux, doubling the size of the square increases it. Therefore, the overall effect on the electric flux will depend on the magnitude of these changes.
If the increase in the area of the surface due to doubling the size of the square is greater than the decrease in the electric field due to moving the point charge, then the electric flux will increase. Conversely, if the decrease in the electric field is greater than the increase in the surface area, then the electric flux will decrease.