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Map sapling earning initially uncharged air-filled capacitor is connected to a 4

ID: 251163 • Letter: M

Question

Map sapling earning initially uncharged air-filled capacitor is connected to a 4.27-V charging source. As a result, 7.43 x 105 C of charge is transfered from one of the capacitor's plates to the other. Then, while the capacitor remains connected to the charging source, a sheet of dielectric material is inserted between its plates, completely filling the space. The dielectric constant of this substance is 3.01. Find the capacitors potential difference and charge after the insertion Potential difference after insertion of dielectric: Number Charge after insertion of dielectric: Number

Explanation / Answer

as the capacitor is connected to the source after insertion, the source maintains the same potential difference


potential difference = 4.27 V

+++++++++++++++++

C = Q/V


Cinsertion = kC = k Q/V


Cinsertion = Qinserttion/V


Qinserttion/V = k Q/V

Qinserion = kQ = 3.01*7.43*10^-5 = 22.3643*10^-5 C <<-----answer