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The maximum electric field upon the axis...

The maximum electric field upon the axis of a circular ring `( q,R)` is given by `E = ( q)/( pi epsilon_(0)R^(2))xx(1)/( 6 sqrt(n))` . Find n.

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The electric field at point P due to a charged ball is given by E_(p)=(1)/( 4pi epsilon_(0))(q)/(r^(2)) To measure 'E' at point P, A test charge q_(0) is placed at point P and measure electric force F upon the test charge. Check whether (F)/(q_(0)) is equal to (1)/(4pi epsilon_(0))(q)/(r^(2)) or not .

The maximum electric field intensity on the axis of a uniformly charged ring of charge q and radius R is at a distance x from the centre of the ring.The value of x is

Knowledge Check

  • The maximum electric field intensity on the axis of a uniformly charged ring of charge q and radius R will be

    A
    `(1)/(4piepsilon_(0))(q)/(3sqrt(3)R^(2))`
    B
    `(1)/(4piepsilon_(0))(2q)/(3R^(2))`
    C
    `(1)/(4piepsilon_(0))(2q)/(3sqrt(3)R^(2))`
    D
    `(1)/(4piepsilon_(0))(3q)/(2sqrt(2)R^(2))`

  • The electric field strength due to a ring of radius R at a distance x from its centre on the axis of ring carrying charge Q is given by E = (1)/(4 pi epsilon_(0)) (Qx)/((R^(2) + x^(2))^(3//2)) At what distance from the centre will the electric field be maximum ?

    A
    `x = R`
    B
    `x = (R )/(2)`
    C
    `x = +- (R )/(sqrt(2))`
    D
    `x = sqrt(2) R`

  • The maximum electric field at a point on the axis of a uniformly charged ring is E_(0) . At how many points on the axis will the magnitude of the electric field be E_(0)//2 .

    A
    1
    B
    2
    C
    3
    D
    4

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    For spherical symmetrical charge distribution, variation of electric potential with distance from centre is given in diagram Given that : V=(q)/(4pi epsilon_(0)R_(0)) for r le R_(0) and V=(q)/(4 piepsilon_(0)r) for r ge R_(0) Then which option (s) are correct : (1) Total charge within 2R_(0) is q (2) Total electrosstatic energy for r le R_(0) is non-zero (3) At r = R_(0) electric field is discontinuous (4) There will be no charge anywhere except at r lt R_(0)

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    In the following question a statement of assertion (A) is followed by a statement of reason (R ) A : Two large conducting spheres carrying charges Q_(1) and Q_(2) are brought close to each other. The magnitude of electrostatic force between them is exactly given by Q_(1) Q_(2)// 4 pi epsilon_(0) r^(2) , where r is the distance between their centres. R: Here charges Q_(1) and Q_(2) can be assumed to be concentrated at the centres of their respective spheres.

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