How Do You Represent Error in a Log-Log Magnetic Field vs. Distance Graph?

[dfx]

Hi,
I'm investigating the variation of Magnetic Field with Distance. The investigation requires me to plot lnField against lnDistance. My question is, say the quantities had an error of +/- 0.01 mT for the Magnetic Field. How would I represent this on the ln Field v/s ln Distance graph? I intuitively thought it would be ln0.01 but that was obviously wrong as it gave a value of -4.6 ... . Any suggestions?

Also, when sketching lnDistance on the axis, should I make the units on the axis ln(metres) or just metres? And likewise with magnetic field should it be lnTesla or just Tesla? I ask this because when plotting say a quantity against (time) squared, we use the units of (s^2).

Any help very much appreciated. Cheers.

 

[member 553083]

For the error in the magnetic field, you would need to plot a range on the graph that includes the error. For example, if the magnetic field value is mT, then the range for the graph would be from ln(mT-0.01) to ln(mT+0.01). When plotting lnDistance on the axis, you should use ln(metres). Likewise, when plotting magnetic field you should use lnTesla. This is because when plotting a quantity against (time) squared, the units are (s^2).