Answer :
Answer:
3.99×10⁵ N/C
Explanation:
Assuming both force forms a right angle triangle,
Using Pythagoras theorem,
a² = b²+c²................... Equation 1
Where a= resultant of the two forces, b = the force acting upward, c = the force acting to the right.
make a the subject of the equation.
a = √(b²+c²)....................... Equation 2
Given: b = 2.7×10⁻¹⁴ N, c = 5.8×10⁻¹⁴ N.
Substitute into equation 2
a = √[(2.7×10⁻¹⁴)²+( 5.8×10⁻¹⁴ )²]
a = √[7.28×10⁻²⁸)+(33.64×10⁻²⁸)]
a = √(40.92×10⁻²⁸)
a = 6.397×10⁻¹⁴ N.
But,
F = Eq ................ Equation 3
Where E = Electric Field, q = charge of an electron, F = electric force.
make E the subject of the equation,
E = F/q ............. Equation 4
Given: F = 6.397×10⁻¹⁴ N, q = 1.602×10⁻¹⁹ C.
Substitute into equation 4
E = 6.397×10⁻¹⁴/(1.602×10⁻¹⁹ )
E = 3.99×10⁵ N/C