Problem

Two capacitors

A

and

B

are connected in series across a 100 V supply and it is observed that the potential difference across them are 60 V and 40 V. A capacitor of

2\,\mu\mathrm{F}

capacitance is now connected in parallel with

A

and the potential difference across

B

rises to 90 V. Determine the capacitance of

A

and

B