- #1
doktorwho
- 181
- 6
Homework Statement
##e_{r1}=2##
##e_{r2}=10##
##α_1=\pi /4##
##D_1=100 nC/m^2##
##ρ_s=0##
On the borderline of two dielectrics there is no free charge. Calculate the surface bond charge density of both dielectrics.
##ρ_{bs1}=?##
##ρ_{bd2}=?##
Homework Equations
3. The Attempt at a Solution [/B]
So with the information i was given i am able to calculate some things.
Since there is no free charge ##D_{1n}=D_{2n}## so ##D_1\cos α_1=D_2 \cos α_2##
And since ##E_{1t}=E_{2t}##, ##\frac{D_1 \sin α_1}{e_{r1}}=\frac{D_2 \sin α_2}{e_{r2}}##
Dividing these equations i get ##\tan α_2=\frac{e_{r1}}{e_{r2}} \tan α_1## and i get some crazy number.
The bond charge density is ##D=e_0E+P##, ##P_1=D_1-e_0E_1##, ##P=e_0(e_r-1)E_1##
So how do i get this to work?