Answer :
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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