Question

. Consider an electric dipole that consists of point charges ±q located at (± 2d,0,0). Find the total electric flux through each of the following Gaussian surfaces

: a. The sphere x 2+y 2+z 2=d 2
b. The sphere (x−d) 2+y 2+z 2 =d 2
c. The sphere x 2 +(y−d) 2+z 2=d 2
d. The sphere x 2 +y 2+(z−d) 2 =d 2
e. The sphere (x− 2d) 2+(y− 2d) 2+z 2= 2d 2

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Answer 1

To find the total electric flux through the given Gaussian surfaces, you need to calculate the electric field due to the electric dipole at every point on the surface and then calculate the flux.

Step-by-step explanation:

To find the total electric flux through this Gaussian surface, we need to calculate the electric field due to the electric dipole at every point on the surface and then calculate the flux.

The electric field due to a dipole at a point on the surface can be found by using the formula:

E = k * (q * d * cos(theta)) / r^3

where E is the electric field, k is the electrostatic constant, q is the magnitude of the charges, d is the distance between the charges, theta is the angle between the dipole axis and the line connecting the point to the dipole, and r is the distance between the point and the dipole.