Question

= 3uF are connected to a 4. When the three capacitors G1 = 1 uF, C2 = 2uF, and Cz source of a potential difference 9V, as shown Fig. below (a)Find the equivalence capacitance of the system. (b) Find the values of the charges on each capacitor. (c) Determine the value of voltage across each capacitor. C2 = 2uF S3 = 3UF الره = c HE 9v Hint: The same charge exists on each capacitor connected in series.

Answer 1

422 MF Сч ulos them G=2 MF Given CKT O The capacito C and C₃ are connected Pn series. Their equivalent capacitance Cy 'C=1MF ㅗ & + 2 V=g volt Cy (2)3 = 1.2NF 243 Cy = 1.2 HF At The capacitor ļ and Cy has same Voltage across Vi = V4 V They are Pr G-14F Parallel and their equivalent capacitance Cs = 6 + Cu 1+1.2 The equalent capacitance = 2.2 H of CKT will be (6) let charge on G is & and voltage Vi=u Q = C. Vi Gх \\ 1x100x9 =9x10 Colomb @, = 9x106c be some 8. The total the charge on voltage C and g is V= V2 + V2 V C2 V= ola V=of C) 8 = VCy = 9X.1.28100 to V=9 Volt Cg GU G and C will across + = 10.8 x16 Polomb

The charge on 8 = 9 AC and Q = Q₂ =8= 10.8MC (C) The voltage voltage across e is Vi=V Vo=V=9 volt The voltage across Qg = CV V₂ ca 10.8MC 5.Y Volt * V₂ = 5.4 Volt Oy V₂ = 1 2 HF The voltage I) V₂ glen across Q₂ = C3 V₃ Vege 10.8HC 3.6 volt ЗАР The voltage voltage across CV = 9 VOH V2 = 5.4 Volt and across Cz is Na = 3.6 Vol. and across G is Vz = 3.6 Volt. WF mm