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(a) Define electric flux. Is is the sca...

(a) Define electric flux. Is is the scalar or a vector quantity?
A point charge q is at a distance of `d//2` directly above the centre of a square of side d, as shown in the figure. Use Gauss's law to obtain the expression for the electric flux through the square.
(b) If the point charges is now moved to a distance 'd' from the centre of the square and the side of the square is doubled, explain how the electric flux will be affected.

Text Solution

Verified by Experts

(a) In fig + q charge is placed at `a//2` distance form the centre of the square. Let us take the charge at centre and assume the plane of square then the flux related is
`cancel(o) = (q)/(epsi_(0))`
Total flux passing through 6 plane will be `cancel (o) =(q)/(epsi_(0))` then
the flux passing through plane ABCD will be `(q)/(6epsi_(0))`
(b) When the point change in market to a distance 'd' form the centre of the squarce and the side of the squence is doubled, then there will be no change in electric flux in will remain same.
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If the point charge is now moved to a distance 'd' form the centre of the square and the side of the square is doubled explain how the electric flux will be affected.

Define electric flux, Is it a scalar or a vector quantity? A point charg q is at a distance of (d)/(2) directly above the centre of a square of side 'd' Use Gauss' law to obtain the expression for the electric flux through the square. (b) If the point charge is now moved to a distance 'd' from the centre of the square and the side of the square is doubled , explain how the electric flux will be affected.

Knowledge Check

  • 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))`
  • 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)`
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