Consider the two idealized systems: (i) a parallel plate capacitor with large plates and small separation and (ii) a long solenoid of length `Lgt gt R`, radius of cross-section. In (i) `vecE` 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 law as below:

Consider the two idealized systems: (i) a parallel plate capacitor with a large plates and small separation and (ii) a long solenoid of length L gtgt R radius of cross-section. In (i) vecE 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.

Consider the two idealised systems, i) a parallel plate capacitor with large plates and small separation and ii) a long solenoid of length L >> R, radius of cross-section . In (i) E 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

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) How is a toroid different from a solenoid? (b) Show that in an ideal toroid, the magnetic field (i) inside the toroid and (ii) outside the toroid at any point in the open space is zero.

A parallel plate capacitor is charged by a battery. After some time the battery is disconnected and a dielectric slab of dielectric constant K is inserted between the plates. How would (i) the capacitance, (ii) the electric field between the plates and (iii) the energy stored in the capacitor, be affected ? Justify your answer.

A parallel plate capacitor is charged by a battery. After some time the battery is disconnected and a dielectric slab of dielectric constant K is inserted between the plates. How would (i) the capacitance, (ii) the electric field between the plates and (iii) the energy stored in the capacitor, be affected ? Justify your answer.

Consider an infinite long cylinderical conductor of radius R carrying a current I with a non uniform current density J=alphar where a is a constant. Find the magnetic field for inside and outside prints.

A circular parallel plate capacitor with plate radius R is charged by means of a cell, at time t=0 . The initial conduction current is i_(0) . Consider a circular area of radius R//4 coplanar with the capacitor plates and located symmetrically between them. Find the time rate of electric flux change through this area after one time constant.