Question

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.

Answer 1

`(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