A capacitor is made of two square plates each of side ‘ ’ making a very small angle between them, as shown in figure. The capacitance will be close to
Step 1: Given data
Angle between two square plates
Length of the plate
Width of the plate
Step 2: To find the capacitance
In triangle
…(1)
Assume a small element at a distance from left end
Now, the capacitance of a small element is,
Net capacitance
For small angles
…(1)
…(2) where x<<1
From equations (1) and (2), we get
Therefore, the capacitance is
Hence, the correct answer is option A.