P1+ + + + t + + + +FxLThe figure above shows a thin plastic rod of length L and uniformlinear charge density A.NOTE: Express your answers in terms of the given variables using eo when necessary.(a) Find an expression for the electric potential at point P.3D+ L3DV =k + en(b) Substitute variable x for d and find an expression for En of theelectric field at P (in terms of d and other variables).3D3D3D3Dk + LEnA(X+ L)3D3D3D3D(c) From the symmetry in the figure, determine E, at P1.3D3DEy =3D3D

According to given figure, We have to determine the values of given parts.

+ + + + + + + # +Fx led»- L The figure above shows a thin plastic rod of length L and uniform linear charge density A. NOTE: Express your answers in terms of the given variables using eo when necessary. (a) Find an expression for the electric potential at point P. 3D 3D + L V =k + en 3D 3D 3D 3D (b) Substitute variable x for d and find an expression for Ep of the electric field at P (in terms of d and other variables). 3D k + L 3D Ex 入(A+ L) 3D 3D (c) From the symmetry in the figure, determine Ey at P. 3D 3D 3D 3D Ey = 0

+ + + + + + + # +Fx led»- L The figure above shows a thin plastic rod of length L and uniform linear charge density A. NOTE: Express your answers in terms of the given variables using eo when necessary. (a) Find an expression for the electric potential at point P. 3D 3D + L V =k + en 3D 3D 3D 3D (b) Substitute variable x for d and find an expression for Ep of the electric field at P (in terms of d and other variables). 3D k + L 3D Ex 入(A+ L) 3D 3D (c) From the symmetry in the figure, determine Ey at P. 3D 3D 3D 3D Ey = 0

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter26: Electric Potential

Section: Chapter Questions

Problem 44PQ: Figure P26.44 shows a rod of length = 1.00 m aligned with the y axis and oriented so that its lower...

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Two 5.00-nC charged particles are in a uniform electric field with a magnitude of 625 N/C. Each of the particles is moved from point A to point B along two different paths, labeled in Figure P26.65. a. Given the dimensions in the figure, what is the change in the electric potential experienced by the particle that is moved along path 1 (black)? b. What is the change in the electric potential experienced by the particle that is moved along path 2 (red)? c. Is there a path between the points A and B for which the change in the electric potential is different from your answers to parts (a) and (b)? Explain. FIGURE P26.65 Problems 65, 66, and 67.
(a) Calculate the electric potential 0.250 cm from ail electron, (b) What is the electric potential difference between two points that are 0.250 cm and 0.750 cm from an electron? (c) How would the answers change if the electron were replaced with a proton?
A particle with charge +q is at the origin. A particle with charge 2q is at x = 2.00 m on the x axis. (a) For what finite value(s) of x is the electric field zero? (b) For what finite value(s) of x is the electric potential zero?
(a) What is the potential between two points situated 10 cm and 20 cm from a 3.0C point charge? (b) To what location should the point at 20 cm be moved to increase this potential difference by a factor of two?
A 5.00-nC charged particle is at point B in a uniform electric field with a magnitude of 625 N/C (Fig. P26.65). What is the change in electric potential experienced by the charge if it is moved from B to A along a. path 1 and b. path 2?
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Figure P26.44 shows a rod of length = 1.00 m aligned with the y axis and oriented so that its lower end is at the origin. The charge density on the rod is given by = a + by, with a = 2.00 C/m2 and b = 1.00 C /m2. What is the electric potential at point P with coordinates (0, 25.0 cm)? A table of integrals will aid you in solving this problem.
An electric potential exists in a region of space such that V = 8x4 2y2 + 9z3 and V is in units of volts, when x, y, and z are in meters. a. Find an expression for the electric field as a function of position. b. What is the electric field at (2.0 m, 4.5 m, 2.0 m)?
A spherical capacitor is formed from two concentric spherical conducting spheres separated by vacuum. Tire inner sphere has radius 12.5 cm and the outer sphere has radius 14.8 cm. A potential difference of 120 V is applied to the capacitor, (a) What is the capacitance of the capacitor? tb) What is the magnitude of the electrical field at r = 12.6 cm, just outside the inner sphere? (c) What is the magnitude of the electrical field at r = 14.7 cm, just inside the outer sphere? (d) For a parallel-plate capacitor the electrical field is uniform in the region between the plates, except near the edges of the plates. Is this also true for a spherical capacitor?
A parallel-plate capacitor has charge of magnitude 9.00F on each plate and capacitance 3.00F when there is air between the plates. The plates are separated by 2.00 mm. With the charge on the plates kept constant, a dielectric with =5 . is inserted between the plates, completely filling the volume between the plates, (a) What is the potential difference between the plates of the capacitor, before and after the dielectric has been inserted? (b) What is the electrical field at the point midway between the plates before and after the dielectric is inserted?
Some cell walls in the human body have a layer of negative charge on the inside surface. Suppose that the surface charge densities are 0.50103C/m2 the cell wall is 5.0109m thick, and the cell wall material has a dielectric constant of = 5.4. (a) Find the magnitude of the electric field in the wall between two charge layers, (b) Find the potential difference between the inside and the outside of the cell. Which is at higher potential? (c) A typical cell in die human body has volume 1016m3 . Estimate the total electrical field energy stored in the wall of a cell of this size when assuming that the cell is spherical. (Hint: Calculate the volume of the cell wall.)
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