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g: Mail-Kaur, Jaskira.. BUNT OgSynd 8 MyuN_ Apple Bir g Bing G Google Yahoo kboard UNr Jump to... PrintCa Calculator Periodic Table uestion 25 of 36 Map Sapling Learning A paper-filled ca charging circuit. The dielectric constant of the paper is 3.7, Keeping the plates insulated, the paper withdrawn, allowing air to fill the capacitor instead. Find the resulting potential difference of the capacitor is charged to a potential difference of 2.5 V and then disconnected from the filling is Number While continuing to keep the capacitor's plates insulated, an unknown substance is inserted between them. filled the capacitor). What is this substance's dielectric constant? Number O Previous O Check Answer 0 Next | E Hint 27Explanation / Answer
here,
the capcaitance of the capacitor , C = K * area * e0/d
when a paper filled capacitor is charged to , V1 = 2.5 V
and K1 = 3.7
let the final potential difference when air is filled between the plates be V2
as the charge remains the same
C1 * V1 = C2 * V2
3.7 * C * 2.5 = C * V2
solving for V2
V2 = 9.25 V
the final potential difference when air is filled between the plates is 9.25 V
let the substance dielectric constant be K3
K3 * C * V3 = K1 * C1 * V1
K3 * C * 0.57 * V1 = 3.7 * C * V1
solving for K3
K3 = 6.5
the substance dielectric constant is 6.5
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