Question

4 Jump to Bryanna Tanase ida- PHY 20S4 Spring 19 JIANGActivities and Due Dates Chapter 16 Homework Resources Give up? reedbxck 2482/2700 stion 14 of 27> Two point charges, A and B, are separated by a distance of 20.0 cm. The magnitude of the charge on A is twice that of the charge on B. If each charge exerts a force of magnitude 40.0 N on the other, find the magnitudes of the charges charge A: 2.25 x1010 charge B: 1.13 X1010 MacBook Air

Answer 1

$\\Electric\;force\;between\;two\;charges\;F=\frac{kQ_AQ_B}{r^2}\\\\ given\;F=40\\\\Q_A=2Q_B\\\\r=20\;cm=0.2\;m\\\\ 40=\frac{9\times 10^9\times 2Q_BQ_B}{0.2^2}\\\\ 40=\frac{9\times 10^9\times 2Q_B^{2}}{0.2^2}\\\\ Q_B=9.43\times 10^{-6}\;C\\\\\\ Charge\;A=18.86\times \;10^{-6}\;C\\\\ Charge\;B=9.83\times \;10^{-6}\;C$