A parallel plate capacitor of plate area A each and seperation d, is being charged by an ac source Show that the displacement current inside the capacitor is the same as the current charging the capacitor(CBSE 2019) .
Answer:
Id=ε0dϕEdt
Id=ε0d(E.A)dt--------------(1)
Q=CV
V=Ed
∴E.A =(QA)Cd
C=ε0Ad
∴E.A =Qε0(also by Gauss's Theorem)
substituting in (1) Id=dQdt
ie Id= I

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