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 law for electrostatic fields
B. case ii contradicts Gauss' law for magnetic fields
C. case i agrees with `ointE`. Dil=0.
D. case ii contradicts `ointH`,dil=`I_(en)`

Explanation

As Gauss' law states `ointE ds=(q)/(epsilon_(0))` for electrostatic field it does not contradict for electrostatic fields as the electrostic fields as the electric filed lines do not form continous closed path.
According to Gauss' law in magnetic field.
`ointEds=0`
It contradicts for magnetic field, because there is a magnetic field inside the solenoid and no field outside the solenoid carrying current but the magnetic field lines form the closed path.