A parallel plate capacitor has a dielectric slab of dielectric constant \( \mathrm{K} \) between...
A parallel plate capacitor has a dielectric slab of dielectric constant \( \mathrm{K} \) between its plates that covers
\( \mathrm{P} \) \( 1 / 3 \) of the area of its plates, as shown in the figure.
W When the capacitor is charged, the plate area covered by the dielectric gets charge \( \mathrm{Q}_{1} \) and the rest of the area gets charge \( \mathrm{Q}_{2} \). The electric field in the dielectric is \( E_{1} \) and that in the other portion is E2. \( _{2} \). Choose the correct option/options, ignoring edge effects.
(A) \( \frac{E_{1}}{E_{2}}=1 \)
(B) \( \frac{E_{1}}{\mathrm{E}_{2}}=\frac{1}{\mathrm{~K}} \)
(C) \( \frac{Q_{1}}{Q_{2}}=\frac{3}{K} \)
(D) \( \frac{\mathrm{C}}{\mathrm{C}_{1}}=\frac{2+\mathrm{K}}{\mathrm{K}} \)
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