Question

When point charges q = +8.4 uC and q2 = +5.6 uC are brought near each other, each experiences a repulsive force of magnitude 0.66 N. Determine the distance between the charges.ns

Answer 1

Answer:

d=0.8 m : Distance between the charges

Explanation:

To solve this problem we apply Coulomb's law:

Two point charges (q₁, q₂) separated by a distance (d) exert a mutual force (F) whose magnitude is determined by the following formula:

F=K*q₁*q₂/d² Formula (1)

F: Electric force in Newtons (N)

K : Coulomb constant  in N*m²/C²

q₁,q₂:Charges in Coulombs (C)

d: distance between the charges in meters(m)

Equivalence

1uC= 10⁻⁶C

Data

F=0.66 N

K=8.99x10⁹N*m²/C²

q₁ = +8.4 uC=+8.4 *10⁻⁶C

q₂= +5.6 uC= +5.6 *10⁻⁶C

Calculation of the distance (d) separating the charges

We replace data in the equation (1):

$0.66=\frac{8.99*10^{9}*8.4*10^{-6} *5.6*10^{-6} }{d^{2} }$

$d^{2} =\frac{422.89*10^{-3} }{0.66}$

d²=640.74*10⁻³

$d=\sqrt{640.74*10^{-3} }$

d=0.8 m

Answer 2

Answer:

it is separated by 80 cm distance

Explanation:

As per Coulombs law we know that force between two point charges is given by

$F = \frac{kq_1q_2}{r^2}$

here we know that

$q_1 = +8.4\mu C$

$q_2 = +5.6 \mu C$

force between two charges is given as

$F = 0.66 N$

now we have

$F = \frac{kq_1q_2}{r^2}$

$0.66 = \frac{(9\times 10^9)(8.4 \mu C)(5.6 \mu C)}{r^2}$

$r = 0.8 m$

so it is separated by 80 cm distance