Consider a point charge Q ( 1 ) = 2 C placed at the origin and another point charge Q ( 2

• Consider a point charge Q$(1)=2\mu$C placed at the origin and another point charge Q$(2)=-3$nC placed at $(2$ ?; $-2)$ ?m on a cartesian plane as shown on the figure.
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• a$)$ ?Find the vector of the total electric force on point charge Q$(1).$ ?We add a thin wire in the shape of an arc of circle of radius $1\mathrm{.}5$ ?m centered at the origin, of linear density lambda$=5$ ?nC$/$m$,$ ?as shown on the figure. The circular arc corresponds to one$-$third third of the complete circle.
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• b$)$ ?Calculate the total charge of this wire.
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• c$)$ ?Determine the vector of the electric field at the origin of the mark $,$ ?caused by the wire.

Y (en m) 2 + 60% 1 Q = 2 -1 1 2 -2- + 3 X (en m) 92 = - 3 nC