Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 12
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A Charge Q is Placed at the Centre of the Open End of a Cylindrical Vessel (See the Figure). the Flux of the Electric Field Through the Surface of the Vessel is - Physics

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Question

A charge q is placed at the centre of the open end of a cylindrical vessel (see the figure). The flux of the electric field through the surface of the vessel is ____________ .

  •  zero

  • q/εv 

  • q/2εv

  • 2q/εv

Solution

q/2ε0
According to Gauss's Law, the flux through a closed cylindrical Gaussian surface is q/ε0. But the question is about an open cylindrical vessel. Now, take another identical vessel and make a closed Gaussian surface enclosing the charge, as shown in the following  figure.

Total flux linked with the closed Gaussian surface,

Ø T =`q/ε_0`

Flux linked with the surface of a open ended cylindrical vessel,

Ø = `(Ø"T")/2 = q/(2ε_0)`

  Is there an error in this question or solution?

APPEARS IN

 HC Verma Solution for Concepts of Physics - Vol. 2 (2018 to Current)
Chapter 8: Gauss’s Law
MCQ | Q: 7 | Page no. 140

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Solution A Charge Q is Placed at the Centre of the Open End of a Cylindrical Vessel (See the Figure). the Flux of the Electric Field Through the Surface of the Vessel is Concept: Electric Flux.
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