Find the dielectric flux and polarization values

[DODGEVIPER13]

Homework Statement

In a slab of Teflon (εr=2.1), the electric field is E= 6Ux+12Uy-20Uz V/m. Find D and P (BTW εr stands for the relative dielectric constant)

Homework Equations

D=(ε0)(εr)E
P=D-(ε0)E

The Attempt at a Solution

(a) D=(ε0)(εr)E=(8.85e-12)(2.1)(6Ux+12Uy-20Uz)=(1.1151e-10Ux+2.2302e-10Uy-3.717e-10Uz) then find the magnitude sqrt((1.1151e-10)^2+(2.2302e-10)^2+(3.717e-10)^2)=4.475e-10 C/m^2
(b) P=D-(ε0)E=4.475e-10-(5.31e-11Ux+1.062e-10Uy-1.77e-10Uz)=4.475e-10-2.131e-10= 2.344e-10 (units ?) I have no idea if this is correct hopefully someone can help me out?

 

[KataKoniK]

Your solution looks correct. The units for P would be Coulombs per square meter (C/m^2), since it represents electric dipole moment per unit area. It's important to pay attention to units in physics, so always double check that they are consistent throughout your calculations. Great job!