Respuesta :

The electric field due to a point charge of 20uC at a distance of 1 meter away from it is 180000 [tex]\frac{N}{C}[/tex].

First, you have to know that the space surrounding a load suffers some kind of disturbance, since a load located in that space will suffer a force. The disturbance that this charge creates around it is called an electric field.

In other words, an electric field exists in a certain region of space if, when introducing a charge called witness charge or test charge, it undergoes the action of an electric force.

The electric field E created by the point charge q at any point P, located at a distance r, is defined as:

[tex]E=K\frac{q}{r^{2} }[/tex]

where K is the constant of Coulomb's law.

In this case, you know:

  • K= 9×10⁹[tex]\frac{Nm^{2} }{C^{2} }[/tex]
  • q= 20 uC=20×10⁻⁶ C
  • r= 1 m

Replacing in the definition of electric field:

[tex]E=9x10^{9} \frac{Nm^{2} }{C^{2} }\frac{20x10^{-6} C}{(1 m)^{2} }[/tex]

Solving:

E=180000 [tex]\frac{N}{C}[/tex]

Finally, the electric field due to a point charge of 20uC at a distance of 1 meter away from it is 180000 [tex]\frac{N}{C}[/tex].

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