Points A , B , and C are at the corners ofan equilateral triangle of side 1.00 m

Question

Points A, B, and C are at the corners ofan equilateral triangle of side 1.00 m.Equal positive charges of 8.00 µCare at A and B. (a) What is the potential at pointC?
1 kV

(b) How much work is required to bring a positive charge of 5.00µC from infinity to point C if the other charges areheld fixed?
2 J

(c) How much additional work is required to move the +5.00 µCpoint particle from point C to the midpoint of sideAB?
3 J (a) What is the potential at pointC?
1 kV

(b) How much work is required to bring a positive charge of 5.00µC from infinity to point C if the other charges areheld fixed?
2 J

(c) How much additional work is required to move the +5.00 µCpoint particle from point C to the midpoint of sideAB?
3 J

Explanation / Answer

I think this can be done like this. Potential is not a vector. So we can write the potential atpoint C as below Vc = (8* 10-6/4*1) *2 in volts To bring another charge to that point work = The charge * potential of that point = Vc *5C (Convert to get it in jouls) = W1 V at the mid point of AB=  (8*10-6/4*0.5) * 2 in volts So the additional work which must be done =(Vc-V)*5C (Convert to get it injouls)

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