Answer
a) 17cm from negative charge opposite positive charge
b) 1.1cm from negative charge toward positive charge
8.1cm from negative charge away from positive charge
Work Step by Step
a) $k(\frac{3.4\mu C}{r_1^2}+\frac{-2.6\mu C}{r_2^2})=0$
$r_2=\sqrt{\frac{2.6}{3.4}}r_1$
$r_1-r_2=0.025m$
$r_1=0.199m$
$r_2=0.174m$
17cm from negative charge opposite positive charge
b) $k(\frac{3.4\mu C}{r_1}+\frac{-2.6\mu C}{r_2})=0$
$r_2=\frac{2.6r_1}{3.4}$
$r_1+r_2=0.025m$
$1.76r_1=0.025m$
$r_1=0.014m$
$r_2=0.011m$
1.1cm from negative charge toward positive charge
$r_1-r_2=0.025m$
$r_2=\frac{2.6r_1}{3.4}$
$r_1=0.106m$
$r_2=0.081m$
8.1cm from negative charge away from positive charge
