A capacitor of capacitance 'C', is connected across an ac source of voltage V, given by V = V0 t The displacement current between the plates of the capacitor, would then be given by :
- Id = V0 C t
- Id = V0 C t
- Id = V0 C t
- Id = V0 C t
Answer
(2) Id = V0 C t
Solution
Charge on the capacitor: q = CV = CV0 t
The displacement current between the plates equals the conduction current in the wires:
Id = 0 d Edt = dqdt
= ddt(CV0 t)
= V0 C t
Answer: (2)