Question

Five identical capacitor plates each of area a are arranged such that adjacent plates are connected to a source of emf in volts find the charge on various plate

Answer 1

  All five capacitors are identical capacitors that have a capacitance c of $\frac { { \varepsilon }_{ 0 }A }{ d }$ where d is the distance between the plates. Since the plates are adjacent to each other the charge on plate 1 shall be $\frac { { \varepsilon }_{ 0 }A }{ d }$.

  Then plate would be connected to the negative source and is also the first plate of second capacitor its value will be $-2\frac { { \varepsilon }_{ 0 }A }{ d }$. Similarly for plate 3 it will be $2\frac { { \varepsilon }_{ 0 }A }{ d }$ and plate 4 it will be -2 $\frac { { \varepsilon }_{ 0 }A }{ d }$ and finally for plate 5 it will be $\frac { { \varepsilon }_{ 0 }A }{ d }$.