Question #166123

two points charge q1=+25nC and q2=-75nC are separated by a distance of 3.0cm. Find the Magnitude and direction of electric force that exerts on q2 and electric force that q2 exerts on q1


1
Expert's answer
2021-02-24T12:49:04-0500

We can find the magnitude of the electric force exerted on q1q_1 by q2q_2 from the Coulomb's law:


F=kq1q2r2,F=\dfrac{kq_1q_2}{r^2},F=9109 Nm2C225109 C(75109 C)(0.03 m)2=0.01875 N.F=\dfrac{9\cdot10^9\ \dfrac{Nm^2}{C^2}\cdot25\cdot10^{-9}\ C\cdot(-75\cdot10^{-9}\ C)}{(0.03\ m)^2}=-0.01875\ N.

The magnitude of the electric force exerted on q1q_1 by q2q_2 (and q2q_2 by q1q_1) equals 0.01875 N:


F12=F21=0.01875 N.F_{12}=F_{21}=0.01875\ N.

Since the two point charges are opposite in sign they will attract each other, therefore, the direction of the electric force is attractive (also, the sign minus indicates that the direction is attractive).


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