Which of the following is a correct application of Ampere's Law?

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Q: Which of the following is a correct application of Ampere's Law?

Solution: Ampere's Law is used to find the magnetic field in a toroid, where the symmetry allows for straightforward application of the law.

Steps: 5

Step 1: Understand what Ampere's Law states. It relates the magnetic field around a closed loop to the electric current passing through that loop.
Step 2: Identify a situation where you can apply Ampere's Law. A toroid (a doughnut-shaped coil) is a good example because of its symmetry.
Step 3: Recognize that in a toroid, the magnetic field is uniform along the circular path inside the coil.
Step 4: Use the symmetry of the toroid to simplify calculations. You can assume the magnetic field is the same at all points along the circular path.
Step 5: Apply Ampere's Law by integrating the magnetic field around the loop and equating it to the total current enclosed by the loop.