NEET Class neet Answered
please answer this
Asked by Prashant DIGHE | 27 Jan, 2020, 10:42: PM
Expert Answer
Let us divide the capacitor plate that makes small angle α with the line parallel to other plate,
into small lengths of size dl as shown in figure.
Then the capacitor becomes parallel combination of many number of capacitors having plates of width dl .
Let us consider one such small capacitor of capacitance dC at a distance l from one end of plate.
capacitance dC = εo (a × dl) / (d+ l tanα )
where a is the side of square plate and d is the initial distance between plates.
capacitance C of all combined capacitors is given by
.........................(1)
For small angle α, tanα ≈ α . Logarithmic term can be written as
..............................(2)
[ when x << 1, ln(1+x) = x - ( x2 / 2 ) + higher order of x . Higher orders are neglected in eqn.(2) ]
Hence , using eqn.(2), eqn.(1) is written as
Answered by Thiyagarajan K | 28 Jan, 2020, 01:17: PM
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