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:

Options

A. Case (i) contradicts Gauss's law for electrostatic fields.
B. Case (ii) contradicts Gauss's law for magnetic fields.
C. Case (i) grees with `oint _(s) Edl = 0`
D. Case (ii) contradicts `oint H.dl=I _(cm)`

Answer

B

Explanation

According to Gauss.s law of electrostatic field,
`oint E.ds = (q)/(epsi _(0))`
So it does not contradict for electrostatic field as the electric field lines do not form continuous path.
According to Gauss.s law of magnetic field,
`oint B.ds = 0`
It is clear that it contradicts for magnetic field because there is magnetic field inside the solenoid, and no field outside the solenoid carrying current, but the magnetic field lines form the closed paths.