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A point charge +10 mu C is at distance o...

A point charge `+10 mu C` is at distance of 5cm directly above the center of a square of side 10 cm as shown in Fig. What is the magnitude of the electric flux through the square ? (Hint. Think of the square of the square as one face of a cube with edge 10 cm)

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In fig, ABCD is a square of side 10cm. The point charge `+10 mu C` is distance of 5cm, directly above the center of ABCD. We can imagine the square ABCD as one of the six faces of a cube of side 10cm. The charge `+q` is at the center of this cube.
According to Gauss's theorem , total electric flux through all the six faces of the cube `= q//in_(0)`
`:.` Electric flux through the square `phi_(E) = (1)/(6) (q)/(in_(0)) (1)/(6) xx (10xx10^(-6))/(8.85xx10^(-12)) = 1.88xx10^(5) C^(-1)`
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Knowledge Check

  • A point charge of +6 muC is placed at a distance 20 cm directly above the centre of a square of side 40 cm . The magnitude of the flux through the square is

    A
    `epsilon_(0)`
    B
    `(1)/(epsilon_(0))`
    C
    `epsilon_(0) xx 10^(-6)`
    D
    `(1)/(epsilon_(0))xx 10^(-6)`
  • A point charge q is placed at a distance a//2 directly above the centre of a square of side a . The electric flux through the square is

    A
    `(q)/(epsilon_(0))`
    B
    `(q)/(piepsilon_(0))`
    C
    `(q)/(4epsilon_(0))`
    D
    `(q)/(6epsilon_(0))`
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