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Planes x= 2 and y = -3 , respectively , ...

Planes x= 2 and y = -3 , respectively , carry charge densities`10 nC //m^(2)`. If the line x=0,z=2 carries charge density `10 pi n C //m`, calculate the electric field vector at `( 1,1 ,-1)`.

Text Solution

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`vec(E) = ( 1- 162 pi hat(i) + 180 pi hat(j) - 54 pi hat(k) ) V//m`
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Knowledge Check

  • A slab of a material of dielectric constaant 2 is placed between two identical parallel plates. One of the plates carries total charge density +2mC/ m^(2) and the other plate carries total charge density -4mC/ m^(2) the magnitude of electric field inside the dielectric in (in 10^(11)N//C ) Take epsi_(0)=(80)/(9)xx10^(-12)Nm^(2)//C^(2) )

    A
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    B
    3.38
    C
    4.5
    D
    6.75

  • A ring of charge with radius 0.5m has 0.002 pi m gap. If the ribg carries a charge of +1 C the electric field at the center is

    A
    `7.5xx10^(7)NC^(-1)`
    B
    `7.2xx10^(7)NC^(-1)`
    C
    `6.2xx10^(7)NC^(-1)`
    D
    `6.5xx10^(7)NC^(-1)`

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