Q. 173.7( 3 Votes )

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.



Answer :


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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