What is the electric field at the position (x1,y1)=(−5.0 cm, 5.0 cm) in component form?

Explanation:

Calculate the distance between origin O and the point as follows:

Substitute 0 cm for for for , and for  in

The electric field is,

Substitute for k, 10 nC for q, and for r in

Therefore, the electric field at the position is

The electric field is inversely proportional to the square of the distance r.

The electric field in vector form is,

Here, is the x component of electric field vector, and is the y component of electric field vector.

The x component of electric field vector is , and the y component of electric field vector is .

Substitute for , and for in

Substitute for E, and 450 for in  

Therefore, the electric field vector in component form is,

The point lies in the second quadrant, so the x component of electric field vector is negative, and y component of the electric field vector is positive

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