If the magnetic field is measured to have a strength of 242.25μT directed at an angle of 325°, what is the location of this measurement?

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

As the measurement of magnetic field were taken along an angle of #325^@#, the point of observation lies in the fourth quadrant. It is given that this quadrant is composed of air. We know that the strength of the magnetic field #vecB# depends on the current #I# in the wire and the distance #r# from the wire. The expression is #|vecB|=(mu_@I)/(2pir)# where #mu_@# is the magnetic permeability of free space and is #4pixx10^-7TmA^-1#.

Inserting given values #242.25xx10^-6=(4pixx10^-7xx969xx10^-3)/(2pir)# #=>r=(4pixx10^-7xx969xx10^-3)/(2pixx242.25xx10^-6)# #=>r=8xx10^-4m#

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Answer 2

Carson Alexander

To determine the location of the measurement based on the given information, we need to convert the angle from degrees to compass direction.

325° corresponds to northwest (NW). Therefore, the location of the measurement is in the northwest direction.

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Answer 3

Parker Abbott

The location of the measurement with a magnetic field strength of 242.25μT directed at an angle of 325° can be determined using polar coordinates. In polar coordinates, the angle of 325° corresponds to approximately 35° clockwise from the positive x-axis. Therefore, the location of the measurement is in the fourth quadrant.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.