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Charges 2mC, 4mC and 6mC are placed at the three corners A, B and C respectively of a square ABCD of side x metre. Find, what charge must be placed at the fourth corner so that the total potential at the centre of the square is zero. |
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Answer» Solution :Let each side of SQUARE = x `AO=BO=cO=DO=sqrt(2)/(2)x`  Let q be the charge placed at the centre O `(q_(1))/(AO)+(q_(2))/(BO)+(q_(3))/(CO)+(q_(4))/(DO)=0` `(4xx10^(-3)+8xx10^(-3)+12XX10^(-3)+2Q)/sqrt(2X)=0` `24xx10^(-3)+2q=0` `2q=-24xx10^(-3)` `q=-12xx10^(-3)` C |
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