electromagnetic-waves Question 20

Question: Q. 11. A capacitor made of two parallel plates each of plate area A and separation d, is being charged by an external ac source. Show that the displacement current inside the capacitor is the same as the current charging the capacitor.

U] [O.D. I, II, III 2013]

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Solution:

Ans.

id=dϕEdt =ε0d(EA)dt

Electric field between the plates of a capacitor

E=σε0=qε0A id=ε0Aε0Adqdt id=dqdt=i

Where i is the charging current. This proves that the displacement current inside the capacitor is the same as the current charging the capacitor.



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