Point charges are located at the corners of square A,B,C,Dthat has sides of leng

Question

Point charges are located at the corners of square A,B,C,Dthat has sides of length 0.1m. At the top corners of thesquare are point A on the left and point B on the right  At the bottom corners of the square are points C on the left andpoint D on the right. A= +5 C and B=+5C   At the bottom corners of the squareC=-10C and D=-10C A point P is in the center of the square 1) Draw the four individual electric field vectors atthe center of the square, P 2) Calculate the magnitude of the net resultant electricfiedl E at the center of the square,P 3) Calculate the net potential V at P 4) What charges would have to be sustituted for those at C andD to give zero electric field at P 5) What charges would have to be sustituted for those at C andD to give zero potential at P Point charges are located at the corners of square A,B,C,Dthat has sides of length 0.1m. At the top corners of thesquare are point A on the left and point B on the right  At the bottom corners of the square are points C on the left andpoint D on the right. A= +5 C and B=+5C   At the bottom corners of the squareC=-10C and D=-10C A point P is in the center of the square 1) Draw the four individual electric field vectors atthe center of the square, P 2) Calculate the magnitude of the net resultant electricfiedl E at the center of the square,P 3) Calculate the net potential V at P 4) What charges would have to be sustituted for those at C andD to give zero electric field at P 5) What charges would have to be sustituted for those at C andD to give zero potential at P

Explanation / Answer

q = 5 C, Q = 10 C, d = 0.1 m, r = d/2 1) EA and ED are along PD EB and EC are along PC 2) EA + ED = k(q + Q)/r2 = 2 k(q +Q)/d2 EB + EC = k(q + Q)/r = 2 k(q +Q)/d2 so net E = 2 * 2 k(q + Q)/d2 =3.82*107 N/C 3) V = k*(q/r + q/r - Q/r - Q/r) = 22 k(q - Q)/d =-1.27*106 V 4) Q changes to Q' = +5 C 5) Q changes to Q' = -5 C

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