Question

ci and cz 2) If C,=150"F, C2=2017 C3 = 3011F, calculate Voltage, charge of each capacitor. and energy V=100V R2

Answer 1

C2 Solution : Oz a Os c3 THE V = loov = 30 C,=1 souf, C2=2 auf C₂= the equivalent capacitance of the circuit is Car Cic Cz+(3) [o CitC2+(3 C2,C3 are in Parallel which is in series with ci Cer 150 (50) 204 75 2 uf 4 thereforce charge supplied by the battery=& Ceq xu 75x16" x 100 Q 3750 xlo ole Q * 3750 uc Now, as we know o = 0 to, 2 also وه 2 су C3 C2 tl C3 = o C Cat(3

and Q = 0 t CO Cz +(3 Qa = O-C30 Cao C AC3 C2+C3 C2 Q C2+(3 ☆ ܘ 03 = 3750 x109x 38x1016 5@xido 750x3x106 = 2250 x 100 = 2250 uc Q3 O O, 3750 2250 Isoo uc & Charge an on C₂ = 2 ci 0 = 3750 uk 1500u Charge Charge on C3 - 03 - 22504 Now, Potential on each capacitor is Vi ai 25v ci TV, - 751 Potential Vz = Oz -1506 Similarly, Potential on C= V3 = 750 a ci 3750 1542 С, = 75V C2 20 ར

Now, energy stored in each capacitch Ui= Ź Civi? = 4 x 150x156x(25)? xloos 4.7 x 10 I 2 2 U. 46875 X 10 U₂=6 Cz V2² = x 20x108x ASTAS 2 Uz = 56.250xc0o = 5.63 x 162 U3= + C3 Uz² £ x 30x 106 x 75X75 ) 2 2 Us 8.44 X 10