A ring shaped conductor with radius a carries a net positive charge q uniformly distributed on it as shown in figure. A point P is situated at a distance x from its centre. Which of following graph shows the correct variation of electric field (E) wilth distance (x)?

A ring shaped conductor with radius a carries a net positive charge q

1.	A ring shaped conductor with radius a carries a net positive charge q uniformly distributed on it as shown in figure. A point P is situated at a distance x from its centre. Which of following graph shows the correct variation of electric field (E) wilth distance (x)?
Answer» None of these Solution :(c) The net electric field at point `P` is GIVEN by `E=(qx)/(4pi epsilon_(0)(X^(2)+a^(2))^(3//2)HATI` `:.` At the centre of ring `x=0=0E_(0)` If `x gt gt a, E=1/(4pi epsilon_(0))q/(x^(2))` and `E` will be maximum where, `(dE)/(dx)=0` or `x=+-a/(sqrt(2))` and `E_("max")=1/(4piepsilon_(0)(2q)/(3sqrt(3)a^(2))`

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A ring shaped conductor with radius a carries a net positive charge q uniformly distributed on it as shown in figure. A point P is situated at a distance x from its centre. Which of following graph shows the correct variation of electric field (E) wilth distance (x)?

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