Redistribution of Charges Between Parallel Plates

Physics

definition

Redistribution of charges for arrangement of parallel plates

Total charge on A is

Q_{1}

and on B is

Q_{2}

which remains constant by law of conservation of charge.
From gauss's law, total charge on the inner regions is zero. Hence, equal and opposite charges are induced on the inner surface.
Net electric field at P is zero.

\frac{Q _{1} - q}{2 A ε _{o}} - \frac{q}{2 A ε _{o}} + \frac{q}{2 A ε _{o}} - \frac{Q _{2} + q}{2 A ε _{o}}

q = \frac{Q _{1} - Q _{2}}{2}

definition

Redistribution of charges for arrangement of parallel plates where one plate is grounded

Total charge on A is

Q_{1}

and on B is 0 as it is grounded which remains constant by law of conservation of charge.
From gauss's law, total charge on the inner regions is zero. Hence, equal and opposite charges are induced on the inner surface.
Net electric field at P is zero.

\frac{Q _{1} - q}{2 A ε _{o}} - \frac{q}{2 A ε _{o}} + \frac{q}{2 A ε _{o}} - \frac{q}{2 A ε _{o}}

q = \frac{Q _{1}}{2}

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