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JEE Advanced2016PhysicsCurrent ElectricityActual

Paragraph: Consider an evacuated cylindrical chamber of height h having rigid conducting plates at the ends and an insulating curved surface as shown in the figure. A number of spherical balls made of a light weight and soft material and coated with a conducting material are placed on the bottom plate. The balls have a radius r h . Now a high voltage source (HV) is connected across the conducting plates such that the

Options

  1. AProportional to V 0 1 2
  2. BProportional to V 0 2
  3. CProportional to the potential V 0
  4. DZero

Correct answer

B. Proportional to V 0 2

Step-by-step solution

h = 1 2   a t 2 [as u = 0] 2 h m q E = t i m e ⇒     t i m e =   2 m q ∆ V E = V 0 h < c u r r e n t >   = c h a r g e t i m e = q q V 0 2 m h 2 q   ∞   V 0 < I > ∞   V 0 2

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