# A capacitor is mad of a flat plate of area A and the second plate having a stair-like structure as shown in the figure. The width of each stair is a, and the height is b. Find the capacitance of the assembly.

It looks like this capacitor is made up of 3 capacitors with different d separation between the plates) and arranged in parallel. Redraw the fig. it looks like

Area of the flat plate is = A

Width of the second plate is the same for all the three capacitors is =a

For C1 area is A1 = A/3

C2 area is A2 = A/3

C3 area is A3 = A/3

Height of the second plate of three capacitors is same and is =a

d1= d

d2= d+b)

d3=d +b +b)=d+2b)

Formula used:

Capacitance can be calculated by the

Capacitors are in parallel.

The capacitance of the assembly of the capacitors is

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