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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 ltR, 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 : |
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Answer» case (i) contradicts Gauss's law for electrostatic fields. 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. |
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