Question

1. what is the electric force between a point charge and a point charge if they are separated by a distance of 5.0 cm? show your work.

Answer 1

-14.4 N is the electric force between a point charge and a point charge if they are separated by a distance of 5.0 cm.

The electrostatic force between two-point charges is given by:

$F = K_{e}\frac{q1q2}{r^{2} }$

where,

$K_{e}$ is the Coulomb's constant

q1 and q2 are the two charges

r is the distance between them

In our problem, charge 1 is

$q1=+2=+2.0 *10^{-6}C$

while charge 2 is

$q2=-2=-2.0 *10^{-6}C$

and their distance is

r=5.0 cm=0.05 m

So, the electrostatic force between them is

$F=8.99*10^{9} Nm^{2}C^{-2} \frac{(+2.0*10^{-6} )(-2*10^{-6} )}{(0.05m^{2} )}=-14.4N$

And the negative sign means the force is attractive, because the two charges have opposite sign.

What is electric force?

The electrostatic force between two-point charges separated by a distance is directly proportional to the multiplication of the magnitudes of the charges and inversely proportional to the square of the distance between the charges.

What are some electrostatic force examples?

• The force of attraction of the plastic wrap to one’s hand and later when hand is removed from the wrap.
• The attraction of paper to a charged scale by rubbing to hair.
• The apparently spontaneous explosion of grain silos.
• Photocopier & laser printer operation.

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Answer 2

The right answer is F= 3.59502N

According to Coulomb’s law if two point charges q1 and q2 are separated by a distance r then the magnitude of the force of repulsion or attraction between them is

F=k|q1| |q2|r2  where k=8.9876*109N.m2C2

What is Coulomb's law?

The product of the charges and the square of the distance between them determine the force of attraction or repulsion occurring in a straight line between two electric charges.

This is the strength of the force that each charge has on the other charge, according to Newton's third law. The symbol k as it is used here has nothing to do with any spring constants or Boltzmann's constant; it has to do with electrical forces!

In the event that charges q1 and q2 have the same sign (either they are both positive or negative), The force on each charge points away from the other charge and is mutually repelling.The force is reciprocal if the charges have opposite signs (one positive, one negative).

Each charge is attracted to the other by its own force.. This is illustrated in

The constant k  is often written as

k=140     where  0=8.85419*10-12C2N.m2

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