Question

Equations 22-8 and 22-9 are approximations of the magnitude of the electric field of an electric dipole, at points along the dipole axis. consider a point p on that axis at distance z = 3.00d from the dipole center(where d is the separation distance between the particles of the dipole). let eappr be the magnitude of the field at point p as approximated by equations 22-8 and 22-9. let eact be the actual magnitude. by how much is the ratio eappr/eact less than 1?

Answer 1

The ratio eappr/eact is less than 1 because the approximations underestimate the actual magnitude of the electric field of an electric dipole.

Step-by-step explanation:

The ratio eappr/eact is less than 1 because the approximations given by equations 22-8 and 22-9 underestimate the actual magnitude of the electric field of an electric dipole. These equations are valid only for points that are far away from the dipole compared to the separation distance between the charges, which is not the case for point P at a distance of 3.00d from the dipole center. Therefore, the ratio will be less than 1 because the actual magnitude of the electric field is larger than the approximation.