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An equilateral triangle of side d = 2 cm has one corner at the origin as shown,

ID: 2134245 • Letter: A

Question

An equilateral triangle of side d = 2 cm has one corner at the origin as shown, another along the +y-axis, and the third in the first


quadrant. Each of the corners of the triangle not at the origin have


charges Q1 = Q2 = +4nC.

(a) Find the size and direction of the electric field E at the origin

(b) Find the electric potential V at the origin.

A charge of q= +1uC is  now located at the origin.

(c) Calculate the force on the charge q.

(d) Calculate the amount of work required to bring the charge q from infinity to the origin.

An equilateral triangle of side d = 2 cm has one corner at the origin as shown, another along the +y-axis, and the third in the first quadrant. Each of the corners of the triangle not at the origin have charges Q1 = Q2 = +4nC. Find the size and direction of the electric field E at the origin Find the electric potential V at the origin. A charge of q= +1uC is now located at the origin. Calculate the force on the charge q. Calculate the amount of work required to bring the charge q from infinity to the origin.

Explanation / Answer

the direction of elecric field is 30 degree wth the negative y axis or 60 wth negative x axis ....

and the e field = e1 + e2 = root 3 times the electric field due to one charge

that is Kq ^2

b]electric potential = kq due to both charges so net = root 3 times due to one charge

c} the net force on q = the e field that came in part a] * its charge

d]and the work done is = to the change in potential

= the potential at origin due to the two charges that came in part b]......