Question

(1) LINE OF CHARGE A line of charge has a length L, and a total charge of +0 distributed uniformly on it. 1/2 L/2 Calculate the electric ficld due to this line at the point P as shown on the figure 0. Choose a set of coordinates for this problem. Draw the coordinates on the figure. Think about how you intend to integrate over this shape. What is the linear charge density λ on the ring, in terms of the given parameters? What is dy in terms of the spatial parameters? (Hint: it will be λ times some length 1 2. dx). Draw a dq somewhere on the line. 3. What is r for any dq in terms of the given parameters? 4. What is the magnitude of the field dE created by any dg at P in terms of the givern parameters? Draw the vector dE created by your dy on the figure. 5. What are the components of dE? If you expect one to sum to zero, point that out. 6. Integrate the components of dE to find the components of E(P) in terms of the given parameters.
0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
A line of charge has a length L, and a total charge of +0 distributed uniformly...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Part D: Uniform Line Charge de Total Charge = Q Total Length=L 1/2 dq L/2 Theoretical:...

    Part D: Uniform Line Charge de Total Charge = Q Total Length=L 1/2 dq L/2 Theoretical: Derive the electric field at a distance "a" from the end of a uniform bent line charge as illustrated above. Determine the electric field at i) a=3 m ii) a=6 m iii) a= 9 m For Q = 12 nC and L = 12 m.

  • dq Given a continuous charge distribution consisting of: A line charge of length L with linear...

    dq Given a continuous charge distribution consisting of: A line charge of length L with linear charge density X A semicircular disc of radius R with surface charge density σ 11. The charge distribution is placed along the x-axis as shown in the figure. The linear charge density is uniform, λ Λο where Λ01s a constant, and the surface charge density varies as σ-00*sin (9) where .00 1s a constant over_charge dq Assume the potential of this distribution is zero...

  • The figure below shows a finite line charge with linear charge density of λ and total...

    The figure below shows a finite line charge with linear charge density of λ and total length L. The point P shown is a distance s away from its end. Please calculate a formula for the electric field at point P, in terms of λ, L and s. Then use the following values to find it numerically. λ = +7 μC/m, L = 4 m, s = 3 m P = _____ N/C î + _____ N/C j The figure...

  • RC-0 A line of total charge Q is evenly distributed around a ring of radius R....

    RC-0 A line of total charge Q is evenly distributed around a ring of radius R. The center of the ring is at the origin and the ring lies in the x-y plane as shown below. a) Explain why Enety-0 at point P for the entire ring. In your explanation, discuss the effect of charge, distance, and angle. Use the figure above to clearly shown any charges, distances, and angles used in your discussion. b) Describe dE, for the dq...

  • A.) charge +Q is distributed uniformly along a straight line of length L. Find the Electric...

    A.) charge +Q is distributed uniformly along a straight line of length L. Find the Electric field at a point P along the direction of the line a distance d from it. Calculate the electric field strength if Q = + 6 μC , L= 0.10m and d = 0.05m. B.) With the same charge distribution, calculate the electric field strength at a point a distance d = 0.05m above or below the mid-point of the charged line.

  • LC-5 A line of length L with constant linear charge density +2(C/m) lies on the x...

    LC-5 A line of length L with constant linear charge density +2(C/m) lies on the x axis. A point P lies on the perpendicular bisector of the line (the y axis). a) Show the details of the symmetry argument (pick dq's and show their dE's) to explain which of the two components (x or y) of the net field at point P are equal to zero due to the entire line of charge. Use the figure in your explanation. Explicitly...

  • A uniformly charged rod of length L and total charge Q lies along the x axis as shown in in the figure below.

    A uniformly charged rod of length L and total charge Q lies along the x axis as shown in in the figure below. (Use the following as necessary: Q, L, d, and ke.) (a) Find the components of the electric field at the point P on the y axis a distance d from the origin (b) What are the approximate values of the field components when d >> L? 

  • RC-0 A line of total change Q is evenly distributed around a ring of radius R....

    RC-0 A line of total change Q is evenly distributed around a ring of radius R. The center of the ring is at the origin and the ring lies in the x-y plane as shown below a) Explain why Encty 0 at point P for the entire ring. In your explanation, discuss the effect of charge, distance, and angle. Use the figure above to clearly shown any charges, distances, and angles used in your discussion. b) Describe dE, for the...

  • Electric potential for a continuous charge distribution: Let's consider a line of charge, of length L...

    Electric potential for a continuous charge distribution: Let's consider a line of charge, of length L having a uniform charge density lambda = 10^-6 C/m and length L=10 cm. Find the electric potential at point P, which is at a distance Z=5 cm. above the midpoint of the line. where In is the natural logarithm. Consider two charged conducting spheres, radii r1 and r2, with charges q1 and q2, respectively. The spheres are far away from each other but connected...

  • A uniformly charged rod of length L=1.6 m lies along the x-axis with its right end at the origin. The rod has a total charge of Q = 2.6 uC.

    A uniformly charged rod of length L=1.6 m lies along the x-axis with its right end at the origin. The rod has a total charge of Q = 2.6 uC. A point P is located on the x-axis a distance a = 1.2 m to the right of the origin.Part (a) Consider a thin slice of the rod of thickness dr located a distance x away from the origin, what is the direction of the electric field t point P due...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT