An thin plate is positoned in the xy plane with corners at (0, 0), (10,0), (10, 30) and (0, 30). three edges are kept at a temperature of 0 kelvin whilst the y=0 edge is kept at 100 k. solve the laplace equation to find the temperature profile t(x, y) of the plate assuming steady state conditions. to do this, a) sketch out the problem. b) state or derive all general solutions of laplace's equation. releme c) define boundary conditions for all 4 edges including a formula for t (x,0) and hence explain which boundary conditions rule out which general solutions. d) express the remaining solution as a series and write down the fourier integral. e) solve the fourier integral in order to find the neccessary coefficients.

:( asap! list all of the items in the item bank and match the definitions correctly.

Aregular polygon has angkes of size 150° each. how many side has the polygon

To understand the behavior of the electric field at the surface of a conductor, and its relationship to surface charge on the conductor. a conductor is placed in an external electrostatic field. the external field is uniform before the conductor is placed within it. the conductor is completely isolated from any source of current or charge. part a: which of the following describes the electric field inside this conductor? it is in the same direction as the original external field. it is in the opposite direction from that of the original external field. it has a direction determined entirely by the charge on its surface. it is always zero. part b: the charge density inside the conductor is: 0non-zero; but uniformnon-zero; non-uniforminfinite part c: assume that at some point just outside the surface of the conductor, the electric field has magnitude e and is directed toward the surface of the conductor. what is the charge density η on the surface of the conductor at that point? express your answer in terms of e and ϵ0