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An initially uncharged air-filled capacitor is connected to a 4.25-V charging so

ID: 2155887 • Letter: A

Question

An initially uncharged air-filled capacitor is connected to a 4.25-V charging source. As a result 5.61x10^-5 C of charge is transfered from on 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 2.77. Find the capacitor's potential difference and charge after the insertion.
Potential difference after the insertion of dielectric (v)
Charge after insertion of dielectric (C)

Explanation / Answer

V = 4.25-V, Q = 5.61x10^-5 C, k = 2.77. so C = Q/V

Potential difference after the insertion of dielectric = V = 4.25 V
Charge after insertion of dielectric = kQ = 1.55x10^-4 C