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.

A parallel plate capacitor is being charged by a time varying current.

1.	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.
Answer» Solution : 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_2oint 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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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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