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(i) Two infinitely long line charges eac...

(i) Two infinitely long line charges each of linear charge density `lambda` are placed at an angle `theta` as shown in figure. Find out electric field intensity at a point P, which is at a distance x from point O along angle bisector of line charges.

(ii) Repeat the above question if the line charge densities are `lambda` and `-lambda`. as shown in figure.

Text Solution

Verified by Experts

The correct Answer is:
(i) `(4Klambda)/x`; along OP.
(ii) `(4Klambda)/x"cot"theta/2`; Perpendicular to OP.
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Knowledge Check

  • An infinitely long wire with linear charge density +lambda is bent and the two parts are inclined at angle 30^@ as shown in fig, the electric field at point P is :

    A
    `(lambda)/(4 pi in_0 d) [ (1 + sqrt(3))hati + hatj]`
    B
    `(lambda)/(4 pi in_0 d) [ (1 - sqrt(3))hati + 2hatj]`
    C
    `(lambda)/(4 pi in_0 d) [ (1 + sqrt(3))hati - 2hatj]`
    D
    `(lambda)/(4 pi in_0 d) [ (1 + sqrt(3))hati + 2hatj]`

  • Three infinitely long charge sheets are placed as shown in figure. The electric field at point P is

    A
    `(2 sigma)/(epsilon_0)hatk`
    B
    `-(2 sigma)/(epsilon_0)hatk`
    C
    `(4 sigma)/(epsilon_0)hatk`
    D
    `-(4 sigma)/(epsilon_0)hatk`

  • Three infinitely long charge sheets are placed as shown in figure. The electric field at point P is

    A
    `(2 sigma)/(epsilon_(0))hat(k)`
    B
    `-(2 sigma)/(epsilon_(0))hat(k)`
    C
    `(4 sigma)/(epsilon_(0))hat(k)`
    D
    `-(4sigma)/(epsilon_(0))hat(k)`

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