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A proton is suspended in the air by an electric field at the surface of a planet whose gravitational acceleration is g = 10.2 m/s2. what is the strength of this electric field?

Sagot :

The strength of this electric field is 10.64×10⁸ N/C.

Electric field strength is a quantitative expression of the intensity at a particular location of a electric field.

It is a vector quantity.

Electrostatic force on the  charge :

[tex]F_{e} = mg[/tex]          (equation1).

m = mass

g = gravity

electrostatic force of a charge on an electric field :

[tex]F_{e} = Eq[/tex]           (equation2).

E = magnitude of electric field

q = charge

using equation 1 and 2 we get

Eq = mg

m = 1.67×10⁻²⁷ kg

g = 10.2 m/s²

q = 1.6 ×10⁻¹⁹

E = mg/q

     =  1.67×10⁻²⁷ kg ×10.2 m/s² /  1.6 ×10⁻¹⁹ C

     E= 10.64×10⁸ N/C

The strength of this electric field is 10.64×10⁸ N/C.

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