I had a doubt in my mind that why the direction of field lines of a positive charge is toward outwards and of a negative charge toward inward direction
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$\begingroup$ The direction of the electric field is always directed in the direction that a positive test charge would be pushed or pulled if placed in the space surrounding the source charge. This question was already asked and answered. $\endgroup$– Niamh O'SSCommented Mar 12, 2018 at 15:59
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$\begingroup$ There is no significant "reason" as such. Someone back in the past just decided to represent field lines according to the behavior of a positive test charge. Same choice for current directions, magnetic fields etc. The choice could just as well have been opposite. $\endgroup$– SteevenCommented Mar 12, 2018 at 16:11
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It's a convention so that we can easily use the Coulomb interaction to determine the trajectory of charged particles in an electric field.