Electrostatics Question 267

Question: Five identical plates each of area A are joined . The distance between the plates is d. The plates are connected to a potential difference of $ V\ volts $ . The charge on plates 1 and 4 will be [IIT 1984]

Options:

A) The magnitude of the electric field remains the same

B) The direction of the electric field remains the same

C) The electric potential may increase continuously depending on the context

D) The electric potential increases at first, then decreases and again increases

Show Answer

Answer:

Correct Answer: B

Solution:

Even after introduction of dielectric slab, direction of electric field will be perpendicular to the plates and directed from positive plate to negative plate.

Further, magnitude of electric field in air $ =\frac{\sigma }{{\varepsilon _{0}}} $

Magnitude of electric field in dielectric $ =\frac{\sigma }{K{\varepsilon _{0}}} $

Similarly, electric field lines always flow from higher to lower potential, therefore, electric potential decreases continuously as we move from x = 0 to x = 3d.



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