Question

Three capacitors $C_1=5.0\:\mu F,\:\:C_2=4.0\:\mu F\:\:and\:\:C_3=3.0\:\mu F$are connected between points A and B as shown in the figure below. The effective capacitance of this arrangement is

$(i)\:\:\:\:1.2\:\mu F$

$(ii)\:\:\:\:0.44\:\mu F$

$(iii)\:\:\:2.25\:\mu F$

$(iv)\:\:\:\:5.2\:\mu F$

Answer 1

c1 and c2 are in parallel and is series with c3

Ceq=c1+c2 series with c3

=5+4 series with 3

9*3/(9+3)

=2.25 uf

iii) is correct

Answer 2

$(ii)\:\:\:\:0.44\:\mu F$

Answer 3

if C1 and C2 are the individual capacitor that re connected in series,

then their resultant capaciatnce 1/Cnet = 1/C1+1/C2

or Cnet   = C1C2/(C1+C2)

if c1 and C2 are connected in parallel, then their effective capacitancen is Cnet = C1+C2

so C1C2 in parallel, = net = 5+4 = 9uF

this 9uF is in series with 3uF

then Cnet = 9*3/9+3

Cnet = 2.25 uF

option iii