- #1

sergiokapone

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- 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.

- Relevant 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}