Question: A particle at the origin of a Cartesian coordinate system carries a charge of (5.0 times 10^{-9} mathrm{C}). What are the magnitude and direction of

A particle at the origin of a Cartesian coordinate system carries a charge of $5.0 \times 10^{-9} \mathrm{C}$. What are the magnitude and direction of the electric field at

(a) $(4.00 \mathrm{~mm}, 0)$,

(b) $(0,4.00 \mathrm{~mm})$,

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