a capacitor is connected across a battery which delivers a current of 1 A at an instant in the capacitor. Displacement current through the capacitor at that instant is?
Answers
Answer: 1+€o(dq/dt)
Explanation:
A capacitor is a device which is capable of storing charges. Now it so happens that the charges accumulated at the plates are aligned in a linear fashion which means positive charges accumulate at one plate and negative at the other. Due to this difference in polarity we have induced potential difference.
Also we would deduce from Gauss law that changes in flux linked to the conductor gives rise to a current flow in the conductor. When this conductor is moved and current is generated we deduce properties from Amperes circuital law which brings us to Maxwell displacement current.
This displacement current is given as
Id = €o(dq/dt)
Where q/€o is the change in flux in a Gaussian surface.
So finally we get this as
Total current will be
I= Ic + I'd
As Ic the current in the conductor is given as 1 ampere we assume that the charge is q
Hence the
Displacement current is
1+ €o(dq/dt)