Question

24. ! A switch that connects a battery to a 10 uF capacitor is closed. Several seconds later you find that the capacitor plates are charged to +30 uC. What is the emf of the battery? 25. I A 6 uF capacitor, a 10 uF capacitor, and a 16 uF capacitor are connected in series. What is their equivalent capacitance? 26.1 A 6 uF capacitor, a 10 uF capacitor, and a 16 uF capacitor are connected in parallel. What is their equivalent capacitance? 7 TTTT

Answer 1

24) Giver, The capacitol, C = 105F = 10*16CF The chage, Q = € 304C = £30 * 10 °C The emf of the of the battery be v. We krow, CE 옵 v V- С V 30*10-6 10-6 - 3V 10*10 The emf of battery is 3V. 25, Giver, C, = 6 MF C2 = 10MF = 16 MF equivalent capacitance These are in series. The 4 is, '- 6HF * 10 MF C, C2 G+C₂ 6 MF +104F ca 60* 1012 16x106 -6 - 3.75*10 F Now, c' and C3 6 are in series, 3.75*10-6 * 16 *10. (3.75*109) +(16#10) d's ct Cog

-12 60*10 Eeg? 19.75*10-6 à Ceg 3.04 * 10 F -3.04 MF 26) = GMF ; C2 = 10 MF 7 C3 216 ME Ç, ht C3 The equivalent capacitance the capacitori in parallel is , of Ceq = + (2 + C3. Сесу 36 MF +10 MF + 16 MF Ceg = 32 MF