 260
 2
 Homework Statement
 An uncharged insulated conductor is brought to a positively charged solitary conductor. Show that the potentials of both conductors will increase, and the potential difference between them decreases.
 Homework Equations

\begin{equation}
\phi_i = \sum D_{ij} Q_j.
\end{equation}
##D_{ij}##  voltage matrix.
Let ##Q##  charge of one of conductor, ##\phi_1##  potential of charged conductor, ##\phi_2##  potential of uncharged conductor.
For the charged conductor:
\begin{equation}
\phi_1 = D_{11}Q ,
\end{equation}
for uncharged conductor:
\begin{equation}
\phi_2 = D_{21}Q
\end{equation}
For the charged conductor:
\begin{equation}
\phi_1 = D_{11}Q ,
\end{equation}
for uncharged conductor:
\begin{equation}
\phi_2 = D_{21}Q
\end{equation}