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Two parallel metallic plates have surfac...

Two parallel metallic plates have surface charge densities `sigma_(1)` and `sigma_(2)` as shown in figure.

`{:(,"Column-I",,,"Column-II"),((A),"If " sigma_(1)+sigma_(2)=0,,(p),"Electric field in region III is towards right"),((B),"If" sigma_(1)+sigma_(2) gt 0,,(q),"Electric field in region I is zero"),((C),"If "sigma_(1)+sigma_(2) lt 0,,(r),"Electric field in region I is towards roght"),(,,,(s),"Nothing can be said"):}`

Text Solution

Verified by Experts

The correct Answer is:
(A) r, (B) r, (C) p

Electric field due to metallic plates remains same and constant at near by points.
[A] For `sigma_(1)+sigma_(2)=0 rArr sigma_(0)=-sigma_(2)`
`:.` Electric field at a point is equal & opposite in direction.
`sigma_(1)+sigma_(2)=0 rArr sigma_(1)=-sigma_(2)`
[B] `sigma_(1)+sigma_(2) gt 0 rArr sigma_(1) & sigma_(2)`
either both positive ot opposite but positive has a greater magnitude. So the net electric field will be away from the plates in region I & III.
[C] Same explanation according to [B].
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Knowledge Check

  • Two parallel plane sheet 1 and 2 carry uniform charge densities sigma_(1) and sigma_(2) as shown in fig.electric field in the region marked II is (sigma_(1) gt sigma_(2))

    A
    `-((sigma_(1)+sigma_(2)))/(2epsilon_(0))`
    B
    `-((sigma_(1)sigma_(2)))/(2epsilon_(0))`
    C
    `((sigma_(1)+sigma_(2)))/(2epsilon_(0))`
    D
    `((sigma_(1)-sigma_(2)))/(2epsilon_(0))`
  • Two thin infinite parallel plates have uniform charge densities + sigma and - sigma . The electric field in the space between them is

    A
    `(sigma)/(2 epsilon_(0))`
    B
    `(sigma)/(epsilon_(0))`
    C
    `(2 sigma)/(epsilon_(0))`
    D
    zero
  • Three non-conducting large parallel plates have surface charge densities sigma, -2 sigma and 4 sigma respectively as shown in the figure. The electric field at the point P is

    A
    `(sigma)/(epsilon_0)`
    B
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    D
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