Potential of A Conducting Cube

Six identical conducting square plates are joined to make a cube.

One of these plates shown is insulated from adjacent plates at its edges with the help of a perfect insulating paint.

The shaded plate is connected with a battery of electromotive force \(V\) and other plates are earthed as shown in the figure.

Find the potential at the center of the Cube.

If your Answer is of the form \(\frac{V}{x}\), where \(x\) is an integer, enter \(x\).


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