3. +-13.6 points Tipler6 22.P.013.soln. My Notes A uniform line charge that has

Question

3. +-13.6 points Tipler6 22.P.013.soln. My Notes A uniform line charge that has a linear charge density -3.8 nC/m is on the x axis between x = 0 to x : 5.0 m. (a) What is its total charge? (b) Find the electric field on the x axis at x = 6 m. N/C (c) Find the electric field on the x axis at x = 9.0 m. N/C (d) Find the electric field on the x axis at x 300 m. N/C (e) Estimate the electric field at x axis at x = 2.5 m. 300 m, using the approximation that the charge is a point charge on the x N/C (f) Compare your result with the result calculated in part (d) by finding the ratio of the approximation to the exact result. To do this, you will need to assume that the values given in this problem statement are valid to more than two significant figures. (9) Is your approximate result greater or smaller than the exact result? O greater O smaller Explain your answer. (Do this on paper. Your instructor may ask you to turn in your work.)

Explanation / Answer

a)
Q = L
= 3.8 * 5
= 19 nC

b)
Ex(6 m) = [9*10^9*19*10^-9]/[6*(6-5)]
= 28.5 N/C (or 29 N/C rounded off)

c)
Ex(9 m) = [9*10^9*19*10^-9]/[9*(9-5)]
= 4.75 N/C (or 5 N/C rounded off)

d)
Ex(300 m) = [9*10^9*19*10^-9]/[300*(300-5)]
= 1.93 mN/C

e)
Ex(300 m) = [9*10^9*19*10^-9]/(300-2.5)^2
= 1.93 mN/C

f) ratio of e/d = 1.9320/1.9322 = 0.99
This result is about 0.01% less than the value obtained in d.

g)
smaller

Related Questions

Navigate

• Browse (All)
• Browse 3
• Subjects

---

---

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