You will attempt problem 1 in class with your group and turn in problem 2 as you

Question

You will attempt problem 1 in class with your group and turn in problem 2 as your written homework on Wednesday. Statement of problem 1 Three charges q_1 q_2 and q_3 are fixed as shown. Answer the following questions: Find the net electric force on charge q_1. Express your answer in the vector notation as a magnitude and direction Be sure to label all forces appropriately. A few questions to think about: What forces act on q_1? How would you label them? Do you need to take components of any of these forces? How do you write these individual forces as vectors? How do you add two vectors? How do you take the resultant of two vectors? From the force calculated in part 1, find the net electric field at the point where charge q_1 is placed using the equation F rightarrow = q E rightarrow

Explanation / Answer

1.

force on q1 due to q2:

F2 = kq1q2 / d^2 (-j) = (9 x 10^9 x 2 x 10^-9 x 4 x 10^-9) / (0.04^2) (-j)

F2 = - 4.5 x 10^-5 j N

force on q1 due to q3:

angle of line q3 to q1 with x axis ,@ = 180 + tan^-1(4/3) = 233.13 deg

d = sqrt(3^2 + 4^2) = 5 cm = 0.05 m

F3 = [(9 x 10^9 x 2 x 10^-9 x 2 x 10^-9) / (0.05^2) ] ( cos233.12i + sin233.13 j)

F3 = (- 0.86i + 1.15) x 10^-5 N

F1 = F2 + F3 = - (0.86i + 5.65j) x 10^-5 N ......Ans(a)

b) magnitude = sqrt(0.86^2 + 5.65^2) = 5.71 x 10^-5 N

direction = 180 + tan^-1(5.65 / 0.86) = 261.35 deg

2. F = qE

5.71 x 10^-5 = 2 x 10^-9 E

E = 28550 N/C

Related Questions

Navigate

• Browse (All)
• Browse Y
• Subjects

---

---

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