Physics · Magnetism and Matter
Consider two idealized systems: (i) a parallel plate capacitor with large plates and small separation, and (ii) a long solenoid of length L >> R. In (i), E is ideally treated as constant between the plates and zero outside. In (ii), the magnetic field B is constant inside and zero outside. These idealized assumptions, however, contradict fundamental laws as follows:
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- 1case (ii) contradicts Ampere's circuital law.
- 2case (i) contradicts the conservative nature of electrostatic fields.
- 3case (ii) contradicts Gauss's law for magnetic fields (∇·B = 0).✓
- 4case (i) contradicts Gauss's law for electrostatic fields.
Correct answer
case (ii) contradicts Gauss's law for magnetic fields (∇·B = 0).
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