The net electric force that the two charges would exert on an electron placed at point on the x -axis is 1.68 x 10⁻¹⁶ N.
<h3>
Force on electron due to charge 1</h3>
The force exerted on the electron due to the charge q1 placed at the origin is calculated as follows;
F = kq₀q₁/r²
where;
- k is coulomb's constant
- q0 is charge at the origin
- q1 is the charge at 0.2 m (electron)
- r is the distance between the charges
F(01) = (9 x 10⁹ x 4 x 10⁻⁹ x 1.6 x 10⁻¹⁹)/(0.2²)
F(01) = 1.44 x 10⁻¹⁶ N
<h3>
Force on electron due to charge 2</h3>
The force exerted on the electron due to the charge q1 placed at the origin is calculated as follows;
F = kq1q2/r²
where;
- k is coulomb's constant
- q2 is charge at the 0.8 m
- q1 is the charge at 0.2 m (electron)
- r is the distance between the charges = 0.8 m - 0.2 m = 0.6 m
F(12) = (9 x 10⁹ x 6 x 10⁻⁹ x 1.6 x 10⁻¹⁹)/(0.6²)
F(12) = 2.4 x 10⁻¹⁷ N
<h3>Net force on the electron</h3>
F(net) = 2.4 x 10⁻¹⁷ N + 1.44 x 10⁻¹⁶ N
F(net) = 1.68 x 10⁻¹⁶ N
Thus, the net electric force that the two charges would exert on an electron placed at point on the x -axis is 1.68 x 10⁻¹⁶ N.
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