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 :

Options

A. case (i) contradicts Gauss's law for electrostatic fields.
B. case (ii) contradicts Gauss's law for magnetic fields.
C. case (i) agrees with `oint overset(to) (E ) . Overset(to) (d)l = 0`
D. case (ii) contradicts `oint overset(to) (H) .overset(to)(d) l = I_("en")`

Answer

B

Explanation

The electrostatic field lines do not form a continuous closed path while the magnetic field lines form the closed paths.
According to the Gauss.s law `oint overset(to) (E ) .overset(to)(d)a = (q)/( in_0)` for electrostatic field. Electric field lines does not form a continuous closed path. So the law for the electric field line is unabolished.
For a magnetic field Gauss.s law is `oint overset(to)(B). overset(to)(d) s= 0`
Hence the statement given is abolished.