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In a thundercloud there may be an electric charge of +40 C near the top of the cloud and -40 C near the bottom of the cloud. These charges are separated by about 2.0 km. What is the electric force between these two sets of charges? (ke = 8.99 ´ 109 N·m2/C2)

Respuesta :

Answer:

Electric force, [tex]F=-3.59\times 10^6\ N[/tex]

Explanation:

Given that,

Electric charge 1, [tex]q_1=+40\ C[/tex]

Electric charge 2, [tex]q_2=-40\ C[/tex]

Distance, [tex]d=2\ km=2\times 10^3\ m[/tex]

To find,

The electric force between these two sets of charges.

Solution,

There exists a force between two electric charges and this force is called electrostatic force. It is equal to the product of electric charged divided by square of distance between them.

[tex]F=k\dfrac{q_1q_2}{d^2}[/tex]

k is the electrostatic constant

[tex]F=8.99\times 10^9\times \dfrac{40\times (-40)}{(2\times 10^3)^2}[/tex]

[tex]F=-3.59\times 10^6\ N[/tex]

So, the electric force between these two sets of charges is [tex]-3.59\times 10^6\ N[/tex].

The electric force between the sets of two charges in the thundercloud with the given parameters is; F = -3.596 * 10⁶ N

What is the electric force between the charges?

The formula for electric force between two charges is;

F = Kq₁*q₂/r²

where;

k is coulombs constant = 8.99 * 10⁹ N.m²/c²

q₁ is charge 1

q₂ is charge 2

r is distance of separation of charges

We are given;

q₁ = +40 C

q₂ = -40 C

r = 2.0 km = 2000 m

Thus force is;

F = 8.99 * 10⁹ * 40 * (-40)/2000²

F = -3.596 * 10⁶ N

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