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14. [1pt] Four point charges are located on the corners of a square as shown in

ID: 1428616 • Letter: 1

Question

14. [1pt] Four point charges are located on the corners of a square as shown in the diagram below, with the origin marking the centre of the square. What is the electric potential at the origin?

Answer:  

15. [1pt] What is the magnitude of the electric field at the origin set up by the four charges?

Answer:  

16. [1pt] Select the direction of the electric field at the origin from the choices below; e.g., enter H.  


Answer:  

17. [1pt] How much work must the outside source do to bring another 1 µC charge in from infinity and place it at the origin?

Answer:  

Please answer all the questions above.

A) D) G) B) E) + H) C) + F)

Explanation / Answer

14.


PE due to a point charge at distance r is kq/r.
V = [kq/r] + [k(-q)/r] + [kq/r] + [kq/r]

V = 2kq/r
k = 9x 10^9, q = 1 x 10^-6 C and r = 1.41 m

V = 12765.96 Volt


15 .
magnitude of field due to a point charge at distance r is k|q| / r^2 .

direction -> radially away from +ve charge and opposite for negative charge.

Enet = [ kq/d^2] (-j) + [kq/d^2] (i) + [kq/d] j + [kq/d^2] i

     = 2kq/d^2 i

k = 9x 10^9, q = 1 x 10^-6 C andd = 1.41 m


E =9053.87 N/C i


magnitude = 9053.87 N/C

16. direction -> i ( along x axis)

Ans(G)


17. work done =q deltaV = 1 x 10^-6 ( 12765.96 - 0 )   = 0.0128 J

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