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

To solve the problem, we need to analyze the two idealized systems mentioned: the parallel plate capacitor and the long solenoid. We will discuss how their ideal assumptions contradict fundamental laws, specifically Gauss's law for electric fields and magnetic fields.

### Step-by-Step Solution:

**Step 1: Analyze the Parallel Plate Capacitor**
- In an ideal parallel plate capacitor, we assume that the electric field (E) between the plates is uniform and constant, and outside the plates, it is zero.
- According to Gauss's law, the electric field E can be expressed as:
\[
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