Answer to Question #205750 in Electricity and Magnetism for john rexie

Question

1. Two point particles separated by 6 cm have charges q₁ = 14nC and q₂ = -23nC, respectively. What is the magnitude of the force that each exerts on each other?

2.Two charges q₁ and q₂ are separated by a distance 0.02mm in the air. The force between them is 100N. What will be the force between the q1 and q2 place 0.06mm apart in the air.

Answer 1

1) $|F|= \frac{kq,q_2}{d^2}=\frac{9*10^9*14*10^{-9}*23*10^{-9}}{0.06^2}$

$=\frac{9*14*23*10^9}{0.06^2}$

$=80.5000*10^9N$

$=8.05*10^{14}N$

2) $F_1= \frac{kq_1q_2}{d^2}$

$100= \frac{9*10^9(q_1,q_2)}{(\frac{0.02}{1000})^2}$

$=|q_1q_|=444.4*10^{-20}$

$F_2=\frac{9*10^9*444.4*10^{-20}}{(\frac{0.06}{1000})^2}$

$F _2=11.11N$