Electrostatics 5 Question 15
17. A charged particle is free to move in an electric field. Will it always move along an electric line of force?
(1979)
(d)
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Solution:
- Let’s consider a strip of thickness ’
’ at a distance of ’ ’ from the left end as shown in the figure. From the figure, and are similar triangles,
We know that, the capacitance of parallel plate capacitor,
Here, two capacitor are placed in series with variable thickness, therefore
Now, integrate it from 0 to
Using Eq. (i),