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Q.Two slabs 'A' and 'B' made of certain material is placed inside a region of a uniform electric field E₀ as shown in figure.

(i) Identify nature of the slabs 'A' and 'B'.
(ii) What is the total electric dipole moment of the slab 'B' in the absence of external field ?
a conductor slab A and a dielectric slab B placed in a uniform external field E0, showing the induced field inside each — Class 12 Physics electrostatics question
Figure
Goa GbshseGBSHSE Class 12 Board Exam 2024Subjective· 3mImportance★★★★★
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A slab where free charges fully cancel the internal field is a conductor; one where bound charges only partially reduce it is a dielectric.

(i) In slab A, the free surface charges σfree\sigma_{free} set up an internal field EinE_{in} that exactly cancels the external field, E0+Ein=0E_0+E_{in}=0, i.e. the net field inside is zero. This is the defining electrostatic behaviour of a conductor: free charges redistribute on the surface until the interior field vanishes entirely.

In slab B, both a free-type surface charge σ\sigma and a bound/polarisation charge σp\sigma_p appear, and the internal field only partly cancels the applied field (E0+Ein≠0E_0+E_{in}\ne0, net field inside is reduced but not zero). This is the behaviour of a dielectric: the field polarises the (bound) charges, which produce an opposing field that reduces, but does not eliminate, the net field inside.

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