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In the given arrangement find the electr...

In the given arrangement find the electric field at C in the figure. Here the U-shaped wire is uniformly charged with linear charge density `lambda`. [0]

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In the given arrangement find electric field at C. Complete wire is uniformly charged at linear charge density lambda. [(lambda)/(2sqrt(2)in_(0)R)]

Find the electric field at the centre of a uniformly charged semicircular ring of radius R. Linear charge density is lamda

Knowledge Check

  • 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)]`

  • Find ratio of electric at point A and B. Infinitely long uniformly charged wire with linear charge density lamda is kept along z-axis:

    A
    `1:2`
    B
    `1:6`
    C
    `6:1`
    D
    `1:1`

  • The electric field intensity due to a thin infinity long straight wire of uniform linear charge density lambda at O is-

    A
    `(lambda)/(2pi epsilon_(0)R)`
    B
    `(lambda sqrt(2))/(2pi epsilon_(0)R)`
    C
    `(lambda sqrt(5))/(2pi epsilon_(0)R)`
    D
    zero

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    Find the electric field at the centre of a semicircular ring if it is uniformly positive charged.

    Use Gauss law to derive the expression for the electric field (oversetto E) due to a straight uniformaly charged infnite line of charge density lambda C//m

    Find the electric field at the origin due to the line charge (ABCD) of linear charge density lambda ,

    State Gauss's law on electrostatics and derive an expression for the electric field due to a long straight thin uniformly charged wire (linear charge density ) at a point lying at a distance r from the wire.

    (a) There is an infinitely long thread uniformly charged with linear charge density lamda C//m . Using Gauss’ law, calculate the electric field (E_0) at a distance x from the thread. (b) Now consider a semi-infinite uniformly charged thread (linear charge density = lamda ) as shown in figure. Find the y component of electric field at point P in terms of E_0 . Use simple qualitative argument. (c) For the situation described in (b) calculate the x component of electric field at point P using the method of integration. (d) Find the angle that the electric field at P makes with x direction.

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