Question

Fig. 1 shows a circuit of four capacitors connected to a battery with a potential difference ?_0. Capacitor 4 is filled with a dielectric with 0 dielectric constant ? = 4. The capacitance value of the capacitors is equal ?1 =?2 = ?3 = ?. The capacitance of capacitor 4 is also equal to ? / 2 when in the middle of

their plates there is no dielectric. a) Calculate the free charge stored in the capacitor 4. Its

answer must be in thermal of ? and ?. b) Calculate the charge and the potential difference in capacitors ?1, ?2 and ?3.

C1 C2 Vo C3 C4 Fig. 1

Answer 1

Ico vo C C a ) The voltage across parallel branches is same ( Xe twee f 1/2 X 4F. 500 g - Apply voltage division Jule acooss capacita reactances Eu = 22 vo. Jos het was > Velg Vol vo FH (3) thot + 2] VaR = 2 → charge stored in capacito (@) = Cu Vca Ver 들 ان ON Vo (WIN Qcy= cvo colaube 3

When there is no dielectre nothing is there betison Capacita plates, then is no scope of chare Staring in any Capacitor t VO b). we difference and chose in have to find potential C1,C2,C3. C2 vo i voltage across CP Vo Cita VE,= ve V - QcIECIVO Our Cvo colans il Voltage across C2 - Vo.C. Clter Qc2 = 62.00 C-Vocolambe 2 с voltage across Cza Vezavo. 3 = ve charge steed, Qc3= Cz. V3 = C. Vo C.V Colambe ct Vc3= Vo v