You are calibrating magnetic coils for a particle detector. One step involves checking the magnetic field at different positions inside a toroid, and you are asked to measure the field at the positions labeled 1,2,3, 4 in Figure P28.67. Your partner, knowing that the magnetic field inside a solenoid is uniform, asks why anyone would measure more than one position inside the toroid, which is a solenoid bent into a ring. How can you explain the need to compare the field magnitudes at positions 1 and 2? Why compare the magnitudes at positions 3 and 4 ? Can you explain to your partner why the magnetic field is not uniform in a toroid even though a toroid is nothing more than a solenoid bent into a donut shape?

Data from  Figure P28.67

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* x *** R 2 0000000 R xxx x x R 3 x R' xxx