Four point charges, each of the same magnitude, with varying signs are arranged

Question

Four point charges, each of the same magnitude, with varying signs are arranged at the comers of a square as shown. Which of the other charges applies the smallest force on the charge at the upper right comer? lower right comer charge. lower left comer charge. upper left corner charge. all apply the same magnitude force on the charge at the upper right comer? Which of the arrows labeled A. B. C. and D gives the correct direction of the net force that acts on the charge at the upper right comer? A B C D The net force on the charge in the upper right comer is zero.

Explanation / Answer

Q1)   From couloum's law F q1q2 / r 2                  Asall charges have same magnitude,   F 1 / r2 Ans: lower left cornercharge      [ becausedistance ( r ) is maximum ] Q2) The forces due to both +Q charges are atttractive sothat their resultant force act along 'B'          The force dueto '-Q' is repulsive and it act along 'D'         But, resultant force due to both '+ Q' along 'B' dominates theforce along 'D'         Hence thenet force due to all forces act along the line 'B'         Ans: lower left cornercharge      [ becausedistance ( r ) is maximum ] Q2) The forces due to both +Q charges are atttractive sothat their resultant force act along 'B'          The force dueto '-Q' is repulsive and it act along 'D'         But, resultant force due to both '+ Q' along 'B' dominates theforce along 'D'         Hence thenet force due to all forces act along the line 'B'        

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