Rearrange the equation to solve for the permeability of free space (μ0). Remember that the slope is the ratio of magnetic field to current or μ0 = 2R N B I . Hint: Substitute your value of slope into the equation in place of B / I. μ0 = T · m/A

Complete Question

The complete question is shown on the first uploaded image

Compare the percent error between your value and the accepted value of 1.26 times 10-6 T · m/A. (Use the accepted value given to three significant figures in your calculation.). 100% % error = %

The permeability of free space is

The percentage error is  % error = 5.25%

Explanation:

From the question we are told that

            The slope is   , and

Generally  

               So  

From the relation given in the question

 Where R is the radius of the coil  

             N is the number of loops of the coil = 10

Now from the question we are told that

substituting into the equation above

Substituting values

Generally the % error is mathematically represented as

                    %

Given that the accepted value is

      Hence substituting values

                      %

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