Two charges,q1 and q2 , are located at the origin and at (0.45 , 0), respectivel

Question

Two charges,q1 and q2 , are located at the origin and at (0.45 , 0), respectively. a) Where on the x-axis must a third charge,q3, of arbitrary sign be placed to be in electrostatic equilibrium if q1 and q2 are like charges of equal magnitude? Express your answer using two significant figures. If there is no answer, enter none. b) Where on the x-axis must a third charge,q3 , of arbitrary sign be placed to be in electrostatic equilibrium if q1 and q2 are unlike charges of equal magnitude? Express your answer using two significant figures. If there is no answer, enter none. c) Where on the x-axis must a third charge, q3 , of arbitrary sign be placed to be in electrostatic equilibrium if q1 = +3.4?C and q2 = -6.0?C ? Express your answer using two significant figures. If there is no answer, enter none.

Explanation / Answer

for both are same cahrge say th ethird charge is at distance x form origin r1=x and r2=0.45-x==> e1=e2==>kq/x^2=kq/(0.45-x)^2=>x=0.45/2==>0.225 if both have opposite sign==>the cahrge can be placed at left of orgin say x from left of origin==>kq/x^2=kq/(0.45+x)^2==>x=0.225 ==> (-0.225,0) point

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