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Which law provides a simpler alternative method for finding the magnetic field \[B\] when the current distribution has symmetry (straight wire, solenoid, toroid)?

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Question

Which law provides a simpler alternative method for finding the magnetic field \[B\] when the current distribution has symmetry (straight wire, solenoid, toroid)?

Options

  • Gauss's Law

  • Ampere's Circuital Law

  • Biot–Savart Law

  • Coulomb's Law

MCQ
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Solution

Ampere's Circuital Law gives \[\oint\vec{B}\cdot d\vec{l}=\mu_0 I\] in a single step when the current distribution possesses symmetry (straight wire, solenoid, toroid). The Biot–Savart Law is general but involves lengthy integration.

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