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1. The problem statement, all variables and given/known data
Problem statement in attached photo. This is an ungraded assigned problem which I am using to study for an exam, so I don't need the whole solution just help with a couple of points I am confused about.
One: Part d) is really important to how I will answer part b). If we can use Gauss's law to find D then part b) should be very easy. If we can't then I suppose I will have to use boundary values to solve for P somehow in order to find the bound charges.
I don't see any reason why we shouldn't be able to, but one (very flawed) online solution said we could not, and the fact that we are asked the question makes me nervous about proceeding this way, so I wanted to ask some of the critical experts that frequent this forum.
Two: Why is the fact X_{e} << 1 relevant? This also seems to point me towards using boundary value equations to solve the problem, but I'm simply not familiar enough with this material yet to confidently set up the problem.
2. Relevant equations
P = ε_{0}χ_{e}E
Gauss's law for electric displacement?
D = ε_{0}E + P = εE
3. The attempt at a solution
I am fairly confident that I have solved part a) correctly and that I can solve the rest if the above points are clarified
Problem statement in attached photo. This is an ungraded assigned problem which I am using to study for an exam, so I don't need the whole solution just help with a couple of points I am confused about.
One: Part d) is really important to how I will answer part b). If we can use Gauss's law to find D then part b) should be very easy. If we can't then I suppose I will have to use boundary values to solve for P somehow in order to find the bound charges.
I don't see any reason why we shouldn't be able to, but one (very flawed) online solution said we could not, and the fact that we are asked the question makes me nervous about proceeding this way, so I wanted to ask some of the critical experts that frequent this forum.
Two: Why is the fact X_{e} << 1 relevant? This also seems to point me towards using boundary value equations to solve the problem, but I'm simply not familiar enough with this material yet to confidently set up the problem.
2. Relevant equations
P = ε_{0}χ_{e}E
Gauss's law for electric displacement?
D = ε_{0}E + P = εE
3. The attempt at a solution
I am fairly confident that I have solved part a) correctly and that I can solve the rest if the above points are clarified
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