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A parallel plate capacitor is being char...

A parallel plate capacitor is being charged by a time varying current. Explain briefly how Ampere's circuital law is generalized to incorporate the effect due to the displacement current.

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According to Ampere.s circuital law,
`oint vecB. Vec(dl) = mu_0 I_e`
For `C_1 = oint vecB * vec(dl) = mu_0 I_e`
For `C_2 oint vecB * vec(dl)=0`
There is an inconsistency in Ampere.s circuital law. To explain this displacement current was incorporated .
Using Ampere.s law, we find different value of B for the two loops.
Hence displacement current was introduced.
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