Question

A thin ring of charge of radius a is in the zy-plane, centred on the origin. The nng has linear charge density λ. Derive an expression for the electric potential at the point (0,0,z). Assume V-0 at infinity. Enter your answer using the terms a, z, λ, and ε0 Use an asterisk, , to indicate multiplication. For example, 2 (), a*()*(*d). b*tan(a *e) or elaz)b

0 0
Add a comment Improve this question Transcribed image text
Answer #1

here we are considered the ring is lying on the xy plane and the z axis passes through its center.

Add a comment
Know the answer?
Add Answer to:
A thin ring of charge of radius a is in the zy-plane, centred on the origin....
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
  • A positive point charge (+Q) is located at the origin of a coordinate system. Centred on...

    A positive point charge (+Q) is located at the origin of a coordinate system. Centred on that origin and lying in the y-plane is a thin ring of charge of radius R and total charge (equally distributed) of -. What will be the net electric field at a point a distance d directly above the origin of the coordinate system? Enter your expression in terms of εο. Q. d and R. Use an asterisk *, to indicate multiplication. For example,...

  • 8. (3) A ring with charge Q and radius R is in the x-y plane and...

    8. (3) A ring with charge Q and radius R is in the x-y plane and is centered on the origin. Derive an expression for the electric potential at a point P on the z-axis a distance z above the x-y plane Please also indicate how much energy it would take to bring a charge q from far away and place it at point P

  • A charge of 22.0 μC ls uniformly distributed around a thin ring of radius 3.40 cm...

    A charge of 22.0 μC ls uniformly distributed around a thin ring of radius 3.40 cm that is in the z-plane and centred at the origin. What is the electric field at a point 10.0 cm directly above the centre of this ring? (Hint: Use symmetry to simplify the situation.)

  • a circular ring of charge of radius 1 m lies in the x-y plane and is...

    a circular ring of charge of radius 1 m lies in the x-y plane and is centered at the origin. Assume also that the ring is in air and carries a density 2rho C/m. A) find the electric potential V AT (0,0,Z) b) Find the corresponding electric field E. (Assume electric field @point have x,y direction because Rho(l) is not constant)

  • A uniform circular ring of charge Q and radius r in the xy-plane is centered at the origin.

    A uniform circular ring of charge Q and radius r in the xy-plane is centered at the origin. (a) Derive a formula for the (z-directed) electric field E(z) at any point on the +z-axis, and graph this for-∞ < z < ∞ (indicate direction as ±; note E(-z) =-E(z). (b) At what value of z is E(z) maximal, and what is this maximum? (c) Sketch the field lines-note the bottleneck!

  • A ring of charge is centered at the origin in the vertical direction. The ring has...

    A ring of charge is centered at the origin in the vertical direction. The ring has a charge density of λ = 3.50 x 10^6 C/m and a radius of R = 1.87 cm. Find the total electric field, E, of the ring at the point P = (1.79 m, 0.00 m). The Coulomb force constant is k = 1/(4ϝ ε0) = 8.99 x10^9

  • 2. A thin ring of radius R in the x - y plane is centered at...

    2. A thin ring of radius R in the x - y plane is centered at the coordinate origin, and is charged with linear charge density λ which depends* on the polar angle θ as (9) λο sin(0), where 0 > 0, and θ . (a) Plot λ(0) for θ [0.2n]. (b) Before doing any calculations, sketch the electric field vector vector at the coor- - 0 is on the positive r-axis dinate origin in the direction you expect it...

  • Consider a uniformly charged ring in the xy plane,centered at the origin. The ring has radius...

    Consider a uniformly charged ring in the xy plane, centered at the origin. The ring has radius a and positive charge q distributed evenly along its circumference. PartAWhat is the direction of the electric fieldat any point on the z axis?parallel to the x axisparallel to the y axisparallel to the z axisin a circle parallel to the xy planePartBWhat is the magnitude of the electric fieldalong the positive z axis?Use k in your answer, where .E(z) =PartCImagine a small metal ball of mass m and negative charge -q0. The ball is released...

  • consider a thin semicircuilar ring centered at the origin and oriented in the x-y plane. the...

    consider a thin semicircuilar ring centered at the origin and oriented in the x-y plane. the top and bottom quarters of the ring have +4.50pC and -4.50pC of charge uniformly distributed over it, respectively. assuming that the radius of the ring is 5.00m, find the net electric field at point P locaded at the origin ( rings center)

  • Consider a thin semicircular ring centered at the origin and oriented in the X-Y plane. The...

    Consider a thin semicircular ring centered at the origin and oriented in the X-Y plane. The top and bottom quarters of the ring have +4.50pC and -4.50pc of charge uniformly distributed over it, respectively. Assuming that the radius of the ring is 5.00 cm, find the net electric field at Point P located at the origin/rings center.

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