Question #284643

Two charges q1 = –6 μC and q2 = +10 μC are placed 12 cm apart. Another charge, q3 = −2 μC is placed in the middle as shown in Figure 6. Determine the magnitude and direction of the force acting on q3 by the charge q1 and q2


1
Expert's answer
2022-01-04T11:19:25-0500



F=Ke(q1q2)r2F=\frac{K_e(q_1q_2)}{r^2}


With no figure 6

It is assumed that the three charges lies on a straight line and q3q_3 is equidistant from q1q_1 and q2q_2


Fq3F_{q\>_3} =Keq3i=12qiri2=K_eq_{3}\sum_{i=1}^{2}\>\>\frac{q_i}{r_i^2}



Taking Ke=8.99×109Nm2C2K_e=8.99×10^9Nm^2C^{-2}



Fq3=8.99×109×2×106(6×106(0.06)2+10×106(0.06)2)Fq_3=8.99×10^9×-2×10^{-6}(\frac{-6×10^{-6}}{(0.06)^2}+\frac{10×10^{-6}}{(0.06)^2})


=19.98N=-19.98N




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