The formula for calculating the electric field of a disk is E = (σ/2ε0)(1-(z/√(z2+R2)) where σ is the surface charge density, ε0 is the permittivity of free space, z is the distance from the center of the disk, and R is the radius of the disk.
We use u-substitution to simplify the integration process when calculating the electric field of a disk. It allows us to substitute a more complex expression with a simpler variable, making it easier to solve the integral.
A point charge is a single point with a concentrated charge, while a disk charge is a two-dimensional object with a distributed charge. The electric field of a point charge decreases with distance, while the electric field of a disk charge remains constant at a certain distance from the center of the disk.
The electric field of a disk is inversely proportional to the distance from the center of the disk. This means that as the distance increases, the electric field decreases. However, when the distance is very large compared to the radius of the disk, the electric field approaches zero.
Yes, the electric field of a disk can be negative. This occurs when the surface charge density is negative, which means that the electric field vector points in the opposite direction of the outward normal vector of the disk.