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

work: w = fd (given)

work done by chet   =50*1 = 50 j

work done by mika =40*2 = 80 j

work done by sara =30*1.5 = 45 j

work done by bill =60*0.5 = 30 j

students in order from the greatest amount of work done to the least is mika> chet> sara> bill

hence option (b) is correct.