A charge Q is distributed over two concentric hollow spheres of radii R and r(R > r) such that their surface densities are equal. The common potential at the centre is r +R (а) zero (b) 20 p? + R? r+R 1 (d) 2 (4n E,)r² + R² r + R (c) 4T Eo ,² + R²

A charge Q is distributed over two concentric hollow spheres of radii R and r(R > r) such that their surface densities are equal. The common potential at the centre is r +R (а) zero (b) 20 p? + R? r+R 1 (d) 2 (4n E,)r² + R² r + R (c) 4T Eo ,² + R²

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A hollow conducting sphere of radius (a) is charged, its charge is - Q. Find the potential inside the sphere atr = a\2? %3D 2 Q 4 TE, a -2Q 4 TE. a 4 TEO a zero Q 4πεο a
A non-conducting sphere of radius R = 5 cm has its center at the origin O of coordinate system as shown in Fig. Its has two spherical cavities of radius 7 = 1 cm, whose centers are at (0,3 cm), (0. −3 cm), respectively, and solid material of the sphere has uniform positive charge density p = 1/π µCm-³. Calculate electric potential at point P (4 cm, 0). y Fig. P
If S = (0,0, 1. V) in spherical polar coordinates is a vector potential of v, then T sin 0 O V.v=0 and v = Curl(S). O S=V x v and V. S = 0 O v- V. S and V x v = 0, where 0 is a zero vector. O None of these.
What is the electric potential in volts (relative to zero at infinity) at the origin for a charge of uniform density 13.97 nC/m is distributed along the z axis from z = 2.1 m to z = 6.45 m. Round your answer to 2 decimal places.
What is the electric potential in volts (relative to zero at infinity) at the origin for a charge of uniform density 11.46 nC/m is distributed along the z axis from z = 2.6 m to z = 6.12 m.
A uniform insulating sphere of radius a with charge Q1 = 0.8 nCis concentric with a = 11.0 cm conducting spherical shell ofinner radius b = 20.0 cm, outer radius c = 30.0 cm andcharge Q2 = 2.0 nC as shown in the figure.If the center of the sphere is chosen as the origin of thecoordinate system, find the potential differenceV (x = a/2 , y = 0 , z = 0) − V (x = 0 , y = (b + c)/2 , z = 0)in units of Volts.Take 14πε0= 9.0 × 109 Nm2/C2.
The electric potential, relative to infinity, of a certain charge dis- tribution with a total charge Q is given by Q e-r/(7a) V 4TE0 %3D where a is some positive constant. The corresponding electric field is given by (A) Ē = e-r/(7a); r2 4T€o 7ar Q 1 (B) Е 1 le-r/(7a); 7ar 4T€0 r2 Q 7a (C) Ē = 1 4T€or2 le-r/(7a);. | (D) Ẽ = (G-). 1 e-r/(7a)f. 7ar 4T€0 1 (E) Ẻ 1 le=r/(7a)f. 7ar 4T€0 r2
A uniform electric field pointing in positive x direction exists in a region. Let A be the origin, B be the point on the x-axis at x =1 cm and C be the point on the y-axis at y =+1 cm. Then the potentials at the points A, B and C satisfy: (a) VA VB (ce) VASV (d) V> Vc
k and outside it is given by V = "e AP Inside a conducting sphere with charge Q and radius R, the electric potential is given by V = "e Using E, = derive an expression for the magnitude of the electric field inside and outside the sphere. (Use the following as necessary: k, Q, rand R.) R dr (a) inside E, (b) outside E(r > R) =
What is the potential at point P?
What is the electrical potential at the center (point O) of a non- uniformly charged semicircular ring of radius R=25 cm and charge density ^(0) = -1.0 x 10-9cos(º/2) C/m? Give your answer in volts.
A conducting spherical shell of inner radius 4.00 cm and outer radius 5.00 cm is concentric with a 7.00 nC point charge and has a totalcharge of-4.000 nC. Find the electric potential (in V) at 3.5 cm.