According to Ampere's Law, what is the magnetic field inside a long straight conductor carrying current I?

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Q: According to Ampere's Law, what is the magnetic field inside a long straight conductor carrying current I?

Solution: Inside a long straight conductor, the magnetic field is zero because the contributions from all parts of the conductor cancel out.

Steps: 6

Step 1: Understand that a long straight conductor is a wire that carries an electric current (I).
Step 2: Recall Ampere's Law, which relates the magnetic field around a conductor to the current flowing through it.
Step 3: Recognize that the magnetic field is created by the movement of electric charges (the current).
Step 4: Visualize the conductor as having many small sections, each contributing to the magnetic field.
Step 5: Note that inside the conductor, the contributions to the magnetic field from opposite sides of the wire cancel each other out.
Step 6: Conclude that because of this cancellation, the total magnetic field inside the long straight conductor is zero.