Find the potential difference between the plates of the capactior C in the circuit shown in fig.5.236

Explanation

The current distribution
is indicated in fig
When the condenser
has been fully charged,
there will be no current
in this branch. Applying
Kirchhoff's law to meshes
NLKMN and PNMOP, we
get
`30i_(2) - 20i_(3) = 1` (i)
`10i_(1)+ 20i_(3) =4` (ii)
Applying Kirchhoff's first law at junction M, we get
`i_(2) + i_(3) = i_(1)` (iii)
Solving (i) , (ii) and (iii) we get
`i_(2) = i_(3) = 0.1A, i_(1) = 0.2A`
Considering mesh PBALP, we have
`V_(A) -1 +10i = V_(B)` or `V_(A) = 1 - 10i_(1) = -1V`