Answer:
Step-by-step explanation:
Sure, we can use Microsoft Excel to calculate and plot the axial magnetic field for the given Helmholtz Coils.
Here's how we can proceed:
Create a new Excel workbook and open a new worksheet.
Label the first column as "z (m)" and enter the values from -3m to +3m in increments of 0.01m. This can be done by entering -3 in the first cell, and then dragging the fill handle down to fill the cells with the desired values.
Label the second column as "B (T)".
Use the following formula to calculate the axial magnetic field at each point:
B = (μ0 * n * I * R^2) / (2 * (R^2 + z^2)^(3/2))
where μ0 is the magnetic constant (4π x 10^-7 T·m/A), n is the number of turns per coil (500), I is the current in each coil (20 A), R is the radius of each coil (0.5 m), and z is the distance along the axis of the coils.
To apply this formula in Excel, enter the following formula in the second row of the "B (T)" column, and then drag the fill handle down to fill the rest of the column:
=(4PI()10^(-7)500200.5^2)/(2((0.5)^2+(A2)^2)^(3/2))
This formula calculates the magnetic field at the corresponding value of z in the first column. Note that the cell reference "A2" refers to the first value of z in the first column.
Once the "B (T)" column is filled with values, we can create a line graph to plot the axial magnetic field as a function of distance along the axis of the coils. To do this, select the "z (m)" and "B (T)" columns, including the column headings, and then click on the "Insert" tab and select "Line" from the "Charts" section. Choose the "Line with markers" style for the graph and format it as desired.
The resulting graph will show the axial magnetic field as a function of distance along the axis of the coils, which should resemble a symmetrical bell-shaped curve with a maximum value at the center of the coils.