Question

Two point charges are separated by 25.0 cm(see (Figure 1) ). Assume that q1 = -5.50 nC and q2= -15.0 nC . no title provided A. Find the net electric field these charges produce at point A. Express your answer in newtons per coulomb to three significant figures. B. Find the net electric field these charges produce at point B. Express your answer in newtons per coulomb to three significant figures. C. What would be the magnitude of the electric force this combination of charges would produce on a proton at A? Express your answer in newtons to three significant figures. D. What would be the direction of the electric force this combination of charges would produce on a proton at A? (Left or Right)

Answer 1

given

q₁ = - 5.50 nC

and q₂= -15.0 nC

a )

E₁ = kq₁ / r₁² = 9 X 10⁹ X 5.5 X 10^-9 / 0.15² (-i)

= -2200 i

E₂ = kq₂ / r₂² = 9 X 10⁹ X 15 X 10^-9 / 0.15² (i)

= 6000 i

E = E₁ + E₂ = 3800 i N/C towards right

b )

E₁ = kq₁ / r₁² = 9 X 10⁹ X 5.5 X 10^-9 / 0.10² (-i)

= 4950 i

E₂ = kq₂ / r₂² = 9 X 10⁹ X 15 X 10^-9 / 0.35² (i)

= 1102.04 i

E = E₁ + E₂ = 6052.04 i N/C towards right

c )

E₁ = kq₁ / r₁² = 9 X 10⁹ X 5.5 X 10^-9 X 1.6 X 10^-19 / 0.15² (-i)

= - 3520 X 10^-19 i

E₂ = kq₂ / r₂² = 9 X 10⁹ X 15 X 10^-9 X 1.6 X 10^-19 / 0.1² (-i)

= 2160 X 10^-19 i

E = E₁ + E₂ = 1360 X 10^-19 i N/C towards right