Question: If, in Prob. 13, the axes are grounded (u = 0), what constant potential must the other portion of the boundary have in order to

If, in Prob. 13, the axes are grounded (u = 0), what constant potential must the other portion of the boundary have in order to produce 220 V at P11?

Data from Prob. 13

Solve the mixed boundary value problem for the Laplace equation ˆ‡2u = 0 in the rectangle in Fig. 458a (using the grid in Fig. 458b) and the boundary conditions ux = 0 on the left edge, ux = 3 on the right edge, u = x2 on the lower edge, and u = x2 - 1 on the upper edge.

и %3D 0 -- 1.5х 2 3 и %3х P. 12 22 и %3D 0- и - -и - 9-Зу P Pa 11 21 1. 2 х Зx и — 3.

%3D 0 -- 1.5 2 3 %3 P. 12 22 %3D 0- - - - 9- P Pa 11 21 1. 2 x 3.

Step by Step Solution

3.45 Rating (161 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Let v denote the unknown boundary potential Then v occurs in Au ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Advanced Engineering Mathematics Questions!