Question #297040

Two small conducting and identical spheres A and B have charges -25 nC and +15 nC, respectively. They are separated by a distance of 0.02 m.


Expert's answer

Two small conducting and identical spheres A and B have charges -25 nC and +15nC, respectively. They are separated by a distance of 0.02m. What is the magnitude of the electric force between the two spheres?

Solution:

Given:

qA=−25 nC=−25×10−9 nC,qB=15 nC=15×10−9 nCd=0.02 mq_{A}=-25\ nC=-25\times10^{-9}\ nC, q_B=15\ nC=15\times10^{-9}\ nC\\ d=0.02 \ m

Electric force

F=14πϵqAqBd2=9×109×−25×10−9×15×10−90.022=8.4375×10−3 NF=\frac{1}{4\pi\epsilon} \frac{q_A q_B}{d^2}=9\times10^9\times \frac{-25\times10^{-9}\times15\times10^{-9}}{0.02^2}=8.4375\times10^{-3} \ N


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