The figure below shows four small charged spheres arranged at the corners of a s
ID: 1772455 • Letter: T
Question
The figure below shows four small charged spheres arranged at the corners of a square with side
d = 25.0 cm. (Let q1 = +8.00 nC, q2 = +6.00 nC, q3 = +4.00 nC, and q4 = +2.00 nC.Assume q3 is located at the origin and +x axis is to the right and the +y axis is up along the page. Express your answers in vector form.)
(a) What is the electric field at the location of the sphere with charge +4.00 nC?
(b) What is the total electric force exerted on the sphere with charge +4.00 nC by the other three spheres?
Explanation / Answer
Therefore,
electric field due to q1,
E1=kq1/d^2=9*10^9*8*10^-9/(25*10^-2)^2
=1152 N/C
electric field due to q2,
E2=kq2/2d^2 =9*10^9*6*10^-9/(25*10^-2)^2
=864N/C
electric field due to q4,
E4=9*10^9*2*10^-9/(25*10^-2)^2
=288 N/C
total electric field = 1152+864+288 = 2304 N/C.
Total force exerted is
F=q3*E=2*10^-9*2304=4.608*10^-6 N