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Consider the two idealized systems: (i) ...

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:

A

case(i) contracdicts Gauss's law for electrostatic fields.

B

case(ii) contracdicts Gauss's law for electrostatic fields.

C

case (i) agrees with `oint oversetrightarrow(E).vec(dl)=0`

D

case (i) agrees with `oint oversetrightarrow(H).vec(dl)=I_(en)`

Text Solution

Verified by Experts

The correct Answer is:
B
According to Gauss's law in magnetism `oint oversetrightarrow. Oversetrightarrow(Ds)=0`, which implies that number of mangetic field lines entering the Gaussian surface is equa to the number of magnetic field line leaving it. Therefore, case (ii) is not possible.
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