Question

4) Midterm question Problem 2 (30 points) C=30 uF The air capacitors with C=Cq=3.0 MF, C=2.04F and C3= 1.0F are connected to a Vo battery as shown. If the charge on C2 is Q2=20.0 C, | ,2015 Foton C1.0 F (a) (15 pts. Find the equivalent capacitance of the circuit. (b) (15 pts.) Find V.

Answer 1

Solution: Griven that: G = G = 3.0MF C = 2.04F C3 = 1.04F The charge on C₂ is = 20.046 Vo T C T (4 2 (a) Equivalent capacitance In above circuit diagram "Cs & C are connected in parallel. The equivalent circuit of "Cs & C² is given as C'=C₂ + C → C = 2.04F + 1.04F l'= 3.0 MF

this now the circuit is given as C4 are connected capacitance of In above circuit a é & Cq in series. Thus equivalent Circuit is given as - - - + - 2 + 1 - 2 + +++ circuit is » lc = IME Thus Equivalent capaitance of JIOMFO

- 6 value of Vot in Since G & C are therefore the potential connected difference parallel across them will be same. - V2 = V₂ 1 , 9: 29 2 12 = 1 / 2 x 204C 193=1040) 3. 1040 The charge across C is Thus total charge flowing In circuit is Q = 2 +93 >> 9 - Q0+10) MC 19-3046 - (1) Az os

Thus the value of vo Vo = 3 BOMC 1.0 MF S0-3040 C=104FSJ "Above value are taken from 1980 respectively & - 100 = 30 Volt The value of Vo is 30 volt. LLLLLLL