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A charge praticle of charge q is kept at...

A charge praticle of charge q is kept at the centre of the semicircular charged, ring . If linear charge density is `lambda` every where, as shown in the figure. Then net electrostatic force on the particle is -

A

`(lambdaq)/(4piepsi_(0)R)`

B

` (sqrt(5)lambdaq)/(4piepsi_(0)R)`

C

` (3lambdaq)/(4piepsi_(0)R)`

D

`(sqrt(2)lambdaq)/(4piespi_(0)R)`

Text Solution

Verified by Experts

The correct Answer is:
B
Due to rod only
`vecF_(1)=(lambdaq)/(4piepsi_(0)R)`
Due to semicircle only
`vecF_(2)=(lambdaq)/(2piepsi_(0)R)`
`F_("net")sqrt(F_(1)^(2)+F_(2)^(2))rArrF_("net")=sqrt(5lambda_(q))/(4piepsi_(0)R)`
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Knowledge Check

  • If linear charge density of a wire as shown in the figure is lambda

    A
    potential at the centre is `(lambda)/(2 epsi_(0))`
    B
    electric field at the centre of the loop is `(lambda)/(2 pi epsi_(0)R)`
    C
    electric field at the centre of the loop is `(lambda)/(2 pi epsi_(0)R) + (lambda)/(2 epsi_(0)R)`
    D
    None of the above

  • The dimensional formula of linear charge density lambda is

    A
    `[M^(-1)L^(-1)T^(+1)A]`
    B
    `[M^(0)L^(-1)T^(+1)A]`
    C
    `[M^(-1)L^(-1)T^(+1)A^(-1)]`
    D
    `[M^(0)L^(-1)T^(+1)A^(-1)]`

  • A thin metallic spherical shell contains a charge Q on it. A point charge q is placed at the centre of the shell and another charge q_(1) is placed outside it as shown in figure. All the three charges are positive The force on the charge at the centre is

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    B
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    C
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    D
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