Three point charges are placed on the x,y plane: a +50.0 nC charge at the origin

Question

Three point charges are placed on the x,y plane: a +50.0 nC charge at the origin, (0,0), a -60.0 nC charge on the x axis at (x, 0) = (10.0,0) cm, and a +150 nC charge at the point, (x,y) = (10.0,8.0). (a) Find the electric field vector at the location of the +150 nC charge. Present your answer in terms of components of a vector. (b) What force s exerted on +150 nC charge by the electric field found in part (a)? Present your answer in terms of components of a vector. (c) Can you use Coulomb?s force law and the superposition principle to solve this problem? (yes or no)

Explanation / Answer

a) Electric Field at +150 nC :

E1 = k*q/r^2

R^2 = 10^2 + 8^2

R^2 = 164

R = 12.81

E1 = k*50*10^-9/164

E1 = 9*10^9*50*10^-9/164

E1 = 2.74 N/C

E2 = k*-60*10^-9/64

E2 = 9*10^9*-60*10^-9/64

E2 = -8.44 N/C

E = E1+E2

E = 2.74 cosa i + 2.74 sina j - 8.44 j

E = 2.74 * 10/12.81 i + 2.74 * 8/12.81j - 8.44 j

E = 2.14 i + 1.71j - 8.44j

E = 2.14i - 6.72j

|E| = 7.052

angle = arcstan (-6.72/2.14)

Angle = -72.34 degrees

b) Force = E*Q

Force = (2.14i - 6.72j)*150

Force = 321 i - 1008 j

c) Yes

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.