A capacitor is made of a flat plate of area A and a second plate having a stair-like structure as shown in figure. If the area of each stair is 3A and the height is d, the capacitance of the arrangement is:
(A)18d11ε0A✓ Correct
(B)17d13ε0A
(C)20d11ε0A
(D)11d18ε0A
Answer: (A)
Solution
The three stair sections are three capacitors in parallel, each of plate area A/3 and gaps d,2d,3d: Ceq=3dε0A+3(2d)ε0A+3(3d)ε0A=3ε0A(6d11)=18d11ε0A. Option (1).
JEE Main · 2024 · 09 Apr 2024 · Shift 1 · Single correct option