Physics

Problem

While a parallel-plate capacitor is being charged, Ampère’s law in its original form predicts different magnetic fields depending on whether the chosen surface passes through the wires or between the plates. Which addition to Ampère’s law resolves this inconsistency? a) Including the term

\dfrac{dQ}{dt}

as an additional current through the gap b) Introducing a time-varying magnetic flux term

\dfrac{d\Phi_B}{dt}

to the law c) Including the term

\epsilon_0\,\dfrac{d\Phi_E}{dt}

as an effective current through the gap d) Adding the surface charge density

\sigma

explicitly to Ampère’s law

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