Consider the two idealized systems (i) a parallel plate capacitor with large plates and small separation and (ii) a long solenoid of length
, 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 idealized assumptions, however, contradict fundamental laws as below:
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As Gauss' law states,
for electrostatic field. It does not contradict for electrostatic fields as the electric field lines do not form continuous closed path.
According to Gauss' law in magnetic field.

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.
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