A parallel- plate capacitor having plate-area A and plate separation d is joined to a battery of emf epsilon and internal resistance R at t=0. Consider a plane surface of area A/2, parallel to the plates and situated symmetrically between them. Find the displacement current through this surface as a function of time.

What is the area of the plates of a 2 F parallel plate capacitor given that the separation between the plates is 0.5 cm ?

You are given a 2 mu F parallel plate capacitor. How would you establish an instantaneous displacement current of 1mA in the space between its plates ?

One capacitor with plate area A is being charged up. At a particular instant when charging current is I, what will be displacement current through a planar loop of area (A)/(2) , imagined between the plates and parallel to them ?

A parallel plate air capacitor has capacity 'C' distance of separation between plates is 'd' and potential difference 'V' is applied between the plates force of attraction between the plates of the parallel plate air capacitor is :

A parallel plate capacitor of capacitance 90 pF is connected to a battery of emf 20 V. If a dielectric material of dielectric constant K =(5)/(3) is inserted between the plates the magnitude of the charge will be :

The charge on a parallel plate capacitor varies as q=q_(0)cos 2pi v t . The plates are very large and close together (area = A, separation = d). Neglecting the edge effects, find the displacement current through th capacitor.

A parallel plate capacitor is charged with a battery and then separated from it. Now if the distance between its two plates is increased, what will be the changes in electric charge, potential difference and capacitance respectively ?

Consider the two idealized systems : (i) a parallel plate capacitor with large plates and small separation and (ii) a long solenoid of length L lt lt R , radius of cross-section. In (i) overset(to) is ideally treated as a constant between plates and zero outside. In (ii) magnetic field is constant inside the solenoid and zero outside. These idealised assumptions, however, contradict fundamental laws as below :

A parallel plate capacitor with circular plates of radius 0.8 m has a capacitance of 1 nF. At t = 0, it is connected for charging in series with a resistor R = 1 M Omega across a 4V battery. Calculate the magnetic field at a point P, halfway between the centre and the perpendicular of the plates after t=10^(-3)s . (The charge on the capacitor at time t is q (t) = CV [1 - exp (-t//tau) ], where the time constant tau is equal to CR.)

A parallel plate capacitor with circular plates of radius 1 m has a capacitance of 1 nF. At t = 0, it is connected for charging in series with a resistor R = 1 M Onega across a 2V battery. Calculate the magnetic field at a point P, halfway between the centre and the periphery of the plates, after t=10^(-3)s . (The charge on the capacitor at time t is q (t) = CV [1 - exp (-t//tau) ], where the time constant tau is equal to CR.)