The balls in the figure are charged to 3.2nC . What are the strength and directi

Question

The balls in the figure are charged to 3.2nC . What are the strength and direction of the electric field at the position indicated by the dot in the figure? (Figure 1)

Specify the strength of the electric field.

Express your answer using two significant figures.

E= N/C

The balls in the figure are charged to 3.2nC . What are the strength and direction of the electric field at the position indicated by the dot in the figure? (Figure 1) Specify the strength of the electric field. Express your answer using two significant figures. E= N/C

Explanation / Answer

For +1nC charges, kQ = 8.99*10^9 * 3.2*10^-9 = 28.7

Electric field strength E = kQ / r^2
Electric field direction is radially away from + charges

At the dot:
r1 = 5cm = 0.05m
so E1 = 28.7 / (0.05)^2 N/C = 11480 N/C @ direction angle 0.
E1 = 11480i + 0j

r2 = sqrt(5^2 + 10^2) cm = 11.18 cm = 0.112 m)
so E2 = 28.7 / (0.112)^2 = 2287.9N/C
Angle is 90 - arctan(5/10) = 63.43 deg
E2 = 2287.9i + 643.2j

So the net field strength at the dot is
E = E1 + E2 =13767.9i + 643.2j =13767.9 N/C @ 9.32 deg above horizontal.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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