Question

a uniformly charged rod having 2 coulomb charge products an electric field of 10^9
${10}^{9}$
N/M at a point situation at a distance of 3 m from one end of the rod.find length of the rod​

Answer 1

ASSUME charge is situated at the middle of rod

As a Point charge

length of rod =L

distance of point from rod =3m

distance (r) from point charge z is =3ml/2

$e = \frac{kq}{x {}^{2} } \\ 10 {}^{9} = \frac{9 \times 10 {}^{9} \times 2 }{x {}^{2} }$

$x {}^{2} = 9 \times 2 \\ x {}^{} = \sqrt{18} = 3 \sqrt{3}$

but

$x = 3 + \frac{ l}{2} \\ 3 \sqrt{3} = 3 + \frac{l}{2} \\ 3 \sqrt{3} - 3 = \frac{l}{2}$

$3( \sqrt{3 - 1} ) = \frac{l}{2 } \\ l = 6( \sqrt{3 - 1} )$

Answer 2

a uniformly charged rod having 2 coulomb charge products an electric field of 10^9

${10}^{9}$

N/M at a point situation at a distance of 3 m from one end of the rod.find length of the rod

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