Statement-1: Ampere's law can be used to find | vedclass

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(D) Ampere's circuital law is most effective for calculating the magnetic field when there is high degree of symmetry,such as in an infinitely long st

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Statement-$1$ is false,statement-$2$ is true.

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(D) Ampere's circuital law is most effective for calculating the magnetic field when there is high degree of symmetry,such as in an infinitely long straight wire,a solenoid,or a toroid.For a finite length wire,the magnetic field does not possess the required symmetry to apply Ampere's law easily,as the field lines are not simple circles centered on the wire axis throughout the length.Therefore,Statement-$1$ is false.Regarding Statement-$2$,the magnetic field of a finite wire is indeed symmetric about the wire (cylindrical symmetry),but this symmetry is not sufficient to apply Ampere's law to find the field magnitude.Thus,Statement-$2$ is true.

Statement-$1$: Ampere's law can be used to find the magnetic field due to a finite length of a straight current-carrying wire.
Statement-$2$: The magnetic field due to a finite length of a straight current-carrying wire is symmetric about the wire.

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Statement-$1$: Ampere's law can be used to find the magnetic field due to a finite length of a straight current-carrying wire.Statement-$2$: The magnetic field due to a finite length of a straight current-carrying wire is symmetric about the wire.