Not really sure if I understood the dS part but I'll try
cos45 = dx/dζ
dζ = dx/cos45
dS = (1/cos45) dxdy
dS = (-https://upload.wikimedia.org/math/8/7/5/875326710761d5ed42bdc6e30c4bf962.pngcos45 - [PLAIN][PLAIN]https://upload.wikimedia.org/math/8/b/a/8baf9dc7043aae61e37e171dc9f537e9.pngsin45)...
and http://www4f.wolframalpha.com/Calculate/MSP/MSP6082070f83052eaehe200002h13c1i6iciah25i?MSPStoreType=image/gif&s=40&w=93.&h=28. then
B = (- sinφ + cosφ) μoI/2π*sqrt(x2+y2)
dS = (-https://upload.wikimedia.org/math/8/7/5/875326710761d5ed42bdc6e30c4bf962.pngcos45 -...
Homework Statement
A rectangular coil is composed of 150 turns of a filamentary conductor. Find the mutual inductance in
free space between this coil and an infinite straight filament on the z axis if the four corners of the coil
are located at
Homework Equations
B = (phi-hat) μoI/2πr
dS =...