Electric field in an $$XY-plane$$ produced by a charged particle is $$7.2(4i^+3j^)N/C$$ at the point (3$$ cm, $$3$$ $$cm) and is $$100$$ $$i^$$ $$N/C$$ at point (2$$ cm, $$0).$$X-coordinate$$ of the charged particle $$isY-coordinate$$ of the charged particle isCharge on the particle is

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Electric field in an $$XY-plane$$ produced by a charged particle is $$7.2(4i^+3j^)N/C$$ at the point (3$$ cm, $$3$$ $$cm) and is $$100$$ $$i^$$ $$N/C$$ at point (2$$ cm, $$0).$$X-coordinate$$ of the charged particle $$isY-coordinate$$ of the charged particle isCharge on the particle is

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As on $$X-axis$$, there is no $$y-component$$ of field.∴Point charge must lies on $$X-axis$$.If θ $$=$$ Angle made by field line at P with $$X-axis$$.Then, $$tan$$⁡θ$$=$$ perpendicular  base $$=3$$ base $$=EyEx=34Hence$$, base of triangle is of $$4$$ cm.Clearly, $$x-coordinate$$ of charge is $$-1.0$$ cm.As charge is on $$X-axis$$, $$y-coordinate$$ of charge is zero.Given field at (2$$, $$0) is $$100$$ $$N/CUsing$$,       $$E=Kqr2$$,$$r=3cmWe$$ have,   $$100=9$$×$$109$$×$$q9$$×$$10$$−$$4$$⇒$$q=100$$×$$9$$×$$10$$−$$49$$×$$109$$                      $$=1$$×$$10$$−$$11$$                      $$=10$$×$$10$$−$$12C=10pCAs$$ on $$X-axis$$, there is no component of field.∴Point charge must lies on $$X-axis$$.If θ $$=$$ Angle made by field line at P with $$X-axis$$.Then, $$tan$$⁡θ$$=$$ perpendicular  base $$=3$$ base $$=EyEx=34Hence$$, base of triangle is of $$4$$ cm.Clearly, $$x-coordinate$$ of charge is $$-1.0$$ cm.As charge is on $$X-axis$$, $$y-coordinate$$ of charge is zero.Given field at (2$$, $$0) is $$100$$ $$N/CUsing$$,       $$E=Kqr2$$,$$r=3cmWe$$ have,   $$100=9$$×$$109$$×$$q9$$×$$10$$−$$4$$⇒$$q=100$$×$$9$$×$$10$$−$$49$$×$$109$$                      $$=1$$×$$10$$−$$11$$                      $$=10$$×$$10$$−$$12C=10pCAs$$ on $$X-axis$$, there is no component of field.∴Point charge must lies on $$X-axis$$.If θ $$=$$ Angle made by field line at P with $$X-axis$$.Then, $$tan$$⁡θ$$=$$ perpendicular  base $$=3$$ base $$=EyEx=34Hence$$, base of triangle is of $$4$$ unit.Clearly, $$x-coordinate$$ of charge is $$-1.0$$ unit.As charge is on $$X-axis$$, $$y-coordinate$$ of charge is zero.Given field at (2$$, $$0) is $$100$$ $$N/CUsing$$,       $$E=Kqr2$$,$$r=3cmWe$$ have,   $$100=9$$×$$109$$×$$q9$$×$$10$$−$$4$$⇒$$q=100$$×$$9$$×$$10$$−$$49$$×$$109$$                      $$=1$$×$$10$$−$$11$$                      $$=10$$×$$10$$−$$12C=10pC$$

Electric field in an XY-plane produced by a charged particle is 7.2(4i^+3j^)N/C at the point (3 cm, 3 cm) and is 100 i^ N/C at point (2 cm, 0).X-coordinate of the charged particle isY-coordinate of the charged particle isCharge on the particle is

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