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In a parallel-plate capacitor, the plates are kept vertical. The upper half of the space between the plates is filled with a dielectric with dielectric constant K and the lower half with a dielectric with dielectric constant 2 K. The ratio of the charge density on the upper half of the plates to the charge density on the lower half of the plates will be equal to (a) 1 (b) 2 (c) 1/2 (d) 3/2 |
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Answer» Correct Answer is: (c) 1/2 The p.d. between the plates is the same at all the points. As p.d. = intensity x distance, the intensity E is the same in both dielectrics. Let σ1 and σ2 be the charge densities in the upper and lower halves. ∴ E = σ1/ε0K = σ2/ε0 x 2K ∴ σ1/σ2 = 1/2. |
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