Question
How does Maxwell modify Ampere's circuital law? Explain.
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Answer
The dispute in Ampere's circuital law arise because it was assumed that current is discontinuous between the plates of the capacitor. Maxwell gave the assumption of displacement current $\left(I_D\right)$ which states that no conduction current ( $I_c$ ) flows but only displacement current ( $I _{ D }$ ) flows.As the capacitor is charged, it gives rise to flow of displacement current between the plates of the capacitor because electric field increases between the plates of the capacitor. In this way, Ampere's circuital law $\left(\oint \overrightarrow{ B } \cdot \overrightarrow{ dI }=\mu_0 I _{ C }\right.$ ) was written as $\oint \overrightarrow{ B } \cdot \overrightarrow{ dI }=\mu_0\left( I _{ C }+ I _{ D }\right)$.
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