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The sketech below show cross secion so e...

The sketech below show cross secion so equipotential surfaces between two charged.Conductors that are shwon in solid black.Some points on the wquipotenital surfaces .near the conductors are marked as `A,B,C…. .` The arrangements lies in air (Take `epsilon_(0)=8.85xx10^(-12)C^(2)//Nm^(2)]`

Surfaces charge density of the plate is equal to

A

`8.85xx10^(-10)C//m^(2)`

B

`-8.85xx10^(-10)C//m^(2)`

C

`17.7xx10^(-10)C//m^(-2)`

D

`-17.7xx10^(-10)C//m(2)`

Text Solution

Verified by Experts

The correct Answer is:
A

`E=(40-10)/(0.3)=100V//m`
(near the plate the electric field has to be uniform \it is alomost due to the particle
For conducting plate
`E=(sigma)/(epsilon_(0))sigma=epsilon_(0)E`
therefore `s=8.85xx10^(-12)xx100`
`=8.85xx10^(-10)C//m^(2)`
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Knowledge Check

  • The sketech below show cross secion so equipotential surfaces between two charged.Conductors that are shwon in solid black.Some points on the wquipotenital surfaces .near the conductors are marked as A,B,C…. . The arrangements lies in air (Take epsilon_(0)=8.85xx10^(-12)C^(2)//Nm^(2)] A positive charge is placed at B ,When it is released:

    A
    no force will be exerted on it .
    B
    it will move towards `A`
    C
    it will move towards `C`
    D
    it will move towards `E`
  • The sketch below shows cross-sections of equipotential surface between two charged conductors that are shown in solid black. Some points one the euquipotential surface near the conductors are marked as A, B, C ………. The arrangement lies in air. ["Take " in_(0)=8.85xx10^(-12) C^(2)//N m^(2)] How much work is required to slowly move a -1 mu C charge from E to D?

    A
    `2xx10^(-5) J`
    B
    `-2xx10^(-5) J`
    C
    `4xx10^(-5) J`
    D
    `-4xx10^(-5) J`
  • The surface density of charge on the surface of a charged conductor in air is 0.885 muC//m^(2) . If epsi_(0) =8.85xx10^(-12) C^(2)//N-m^(2) , then the outward force per unit area of the charged conductor is

    A
    `5xx10^(-2) N//m^(2)`
    B
    `4.425xx10^(-2) N//m^(2)`
    C
    `8.85xx10^(-2) N//m^(2)`
    D
    `5xx10^(-3) N//m^(2)`
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