Step 1:
\The three capacitors are connected in series with a
supply.
(a)
\Find the total capacitance.
\Consider be the total capacitance.
are in series.
So
Therefore the total capacitance is .
Step 2:
\(b)
\Find the potential difference across each capacitance.
\Now find the total charge .
.
Substitute and
in the total charge.
The total charge is .
Find the voltage across the capacitance .
Find the voltage across the capacitance .
Find the voltage across the capacitance .
The voltage across the capacitors are
.
Solution :
\(a) The total capacitance is .
(b) The voltage across the capacitors are
.