Compute the potential difference AV between: a) Two conducting spherical shells of radius a and b with a charge +Q on the inner one and charge -Q on the outer one. b) Two (infinitely long) conducting cylindrical shells of radius a and b with a charge per unit length +A on the inner one and charge per unit length -1 on the outer one. c) Two (infinite) conducting sheets of charge, one with charge +o on the ry plane and with with charge parallel to the first one but at z = d. Great! Now you've done almost all the work required to understand Capacitance!

Compute the potential difference AV between: a) Two conducting spherical shells of radius a and b with a charge +Q on the inner one and charge -Q on the outer one. b) Two (infinitely long) conducting cylindrical shells of radius a and b with a charge per unit length +A on the inner one and charge per unit length -1 on the outer one. c) Two (infinite) conducting sheets of charge, one with charge +o on the ry plane and with with charge parallel to the first one but at z = d. Great! Now you've done almost all the work required to understand Capacitance!

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter5: Gravitation

Section: Chapter Questions

Problem 5.12P

See similar textbooks

Similar questions

What is the energy required to bring a point charge ? from very far to a distance ? from the center of an insulating sphere of radius ? with charge ?, assuming uniform charge density and d > R? What if the sphere is replaced with a hollow spherical conductor of charge -Q and radius R, what would the energy required be then? Hint: you don’t have to re-derive the potential due to a charged sphere again.
A solid conducting sphere of radius R carries a charge Q. To find U, total electric-field energy, consider a spherical shell of radius r and thickness dr that has volume dV=4πr2dr. (It will help to make a drawing of such a shell concentric with the conducting sphere). The energy stored in this volume is udV, and the total energy is the integral of udV from r=0 to r→∞. Find the potential energy U for the sphere using the integral set provided. Previously you found the integral set up for U. Express your answers in terms of some, all, or none of the variables Q, R, the electric constant ϵ0 , and π, separated by a comma. U=?
A ball of conductor with radius RA = 2 cm is charged + 2Q. The balllocated centrally to the hollow conductor sphere with a charge of –3Q withthe inner radius RB = 4 cm and the outer radius RC = 6 cm (see Figure).a. Using Gauss's Law, calculate the electric field strength atthe points L, M, and N.b. Calculate the electric potential at the point rL = 3 cm and rM = 1 cm
Q2) a) an infinit line charge PL=20nc/m along z axis in free space, find the work done on a point carge Q=10nc if it carrying along a circular path of a radius p=2m from =n to =2n at z=0 plane. b) a point charge of 2uc at origin in free spase , calculate V at point (3,6,0) if V=3V at (0,2,2)
Using integration, calculate the electric potential at any point along the z-axis. Show all relevant physics and integration details. Hint: Choose an appropriate charge element dQ on the cylinder and find the dV due to that on the z-axis. Then integrate this potential from -L/2 to L/2 along z.
Please answer this, with complete answer An isolated solid spherical conductor of radius 5.00cm is surrounded by dry air. It is given a charge and acquires potential V, with the potential at infinity assumed to be zero. a. Calculate the maximum magnitude can have. b. Explain clearly and concisely why there is a maximum.
What is the potential at the center of a disk with a hole cut out of its center with an inside radius a and outside radius b and a surface charge density of d?
A conducting sphere of radius a, at potential V0, is surrounded by a thin con- centric ring of radius b and charge Q , The Method of Images ،find potential point P.
You are given an isolated metal rod of length 3L that carries a uniform charge density ?. Someone is interested in a point ? that is a distance L away from the rod, equidistant from both ends 1) What is the integral you would need to solve to find the total electric field at point P? Answer in terms of ?, ? and ? 2) What is the integral you would need to solve to find the total electric potential at point P? Answer in terms of ?, ? and ? 3) If you connect the bar up to a battery so that a current I now flows through it, what would be an expression for the magnetic field at point P, in terms of ?, ?, ?0
Fourpointcharges,eachwithchargeq=+2.0nC,arepositionedequidistantlyaroundacircle of radius r = 5.0 cm as shown in figure (A) below. (a) What is the electric field E at C? (b) What is the potential at point C located at the center (assuming V = 0 infintely far away)? If charge q2 is moved to the same position as q4, as shown in figure (B), what are the new (c) electric field E (d) andpotential at point C?
A ring with radius R and a uniformly distributed total charge Q lies in the xy plane, centered at the origin. What is the potential V(z) due to the ring on the z axis as a function of z? What is the magnitude of the electric field E on the z axis as a function of z, for z>0?
Derive this equation for Potential of A uniform line of charge, using integration with limits as 0 to L.