At another location, the magnetic field is found to be 0.2423mT directed 55°. What are the x and y coordinates of this location, measured in meters?

A wire carrying 969mA is travelling upwards along the Z axis through four different materials, one in each quadrant. The first quadrant is composed of cobalt; the second quadrant has iron, the third quadrant is made of nickel, and the 4th quadrant is air.

1 Answer
Aug 31, 2016

Answer:

#(x,y)=(0.115, 0.164)#

Explanation:

Another location is with respect to first location described in first part of this question here.

Taking it further. now the point of observation is #55^@#. Implies that it is located in first quadrant. It is given that first quadrant is composed of cobalt. Maximum Relative permeability of 99% pure cobalt is 250.
As such we know that for ferromagnetic substances
#B=muH#
Or #B=(mu mu_@I)/(2pir)#
Inserting given values we get
#0.2423xx10^-3=(250xx4pixx10^-7xx969xx10^-3)/(2pir)#
#=>r=(250xx4pixx10^-7xx969xx10^-3)/(2pixx0.2423xx10^-3)#
#r=0.2m#
Finding out #x and y# coordinates
#x=0.2cos55^@=0.115m#, rounded to three decimal places
#y=0.2sin55^@=0.164m#, rounded to three decimal places