The electric field of ?(?) = 1/r + 3(v/m), where r is the distance from the origin, is applied in a region of space. Find the electric potential between the two points ?1=0,5 m and r2 =2 m . Hint: you will have to use integration here, with r1 and r2 as your bounds of integration

The electric field of ?(?) = 1/r + 3(v/m), where r is the distance from the origin, is applied in a region of space. Find the electric potential between the two points ?1=0,5 m and r2 =2 m . Hint: you will have to use integration here, with r1 and r2 as your bounds of integration

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...

See similar textbooks

Related questions

Q: We would like to calculate the magnitude of the electric potential at a point Pa distance a to right…

Q: An electron is moved from an initial location where the potential is Vi = 30V to a final location…

A: Given data Vi=30 VVf=150 V

Q: The charge density on a disk of radius R = 12.2 cm is given by aar, with a = 1.48 µC/m³ and r…

A: Given data R = 0.122 m a = 1.48×10-6 cm3y = 36 ×1100 = 0.36 mε° = 8.85 ×× 10-12c2Nm2

Q: Could the vector A = x 2 y i + x y 2j + e-βy sinαx k, where α and β are constant, be interpreted as…

Q: In a certain region of space the electric potential is given by V=+Ax^2y−Bxy^2, where A= 5.00 V/m^3…

A: Given: Electric potential, V =Ax2 y − Bxy2A= 5.00 V/m3 B= 8.00 V/m3

Q: Three positive charges are located at the corners of an equilateral triangle as in the figure below.…

A: Electric potential due to a point charge ,Q at a distance, r from it is given by, V = k×Qr , where k…

Q: 1. -2q As shown in the diagram, two charges +q and -2q are placed on opposite corners of a square…

A: Given that:- q=1.1×10^-9C

Q: The electric potential in a region of space is V(r) = Axz/y, with A a constant. What is the electric…

Q: The three charged particles in the figure below are at the vertices of an isosceles triangle (where…

A: Potential at a point due to other three charges.

Q: At a distance r from a point charge the electric potential is V. If the distance increased to 3r,…

A: The electric potential at a point due to the point charge is calculated as : V=kqr Here, V is the…

Q: Suppose the electric potential due to a charge distribution is written in Cartesian Coordinates as…

A: We can find it by relation between electric field and electric potential E= - grad(V)

Q: A point charge q1 = -8.6 uC is located at the origin, and another point charge q2 = 4.2 uC is…

Q: In the figure below, find the electric potential at point P due to the grouping of charges at the…

A: Given ,q1=7.0μCq2=-11.7μCq3=-6.1μCDiagram shows the all charges and thier distance from point P.

Q: The cylindrical shell of length L = 1m and radius R = 2m is placed on the x-axis. Its its principal…

A: Option (d) is correct.

Q: What is the electric potential at point P, located at the centre of the rectangle of charged…

Q: The electric potential in a region is given by V = 2xy - 3zx + 5y2, with V in volts and the…

A: The electric potential in a region is given by V=2xy-3zx+5y2. The coordinate of the point P is x=1m,…

Q: The point charge ? is concentric with 2 spherical shells with radii ? and ?, and charges −2? and 3?…

Q: the function: V = ax+By² describes the electric potential in a specific region in space assume…

Q: The Electric Potential is 160 V at xı= 0.15 m due to a charge. What is the Electric Potential at xz=…

Q: An electric dipole consists of points charges q1 = +1nC and q2 = -1nC are placed 1.0 m apart (right…

A: Electric potential at any point due to any point charge is V = kq /r Also, electric potential is a…

Q: In a given region of space the electric potential has the following form: V(r, y, 2) = 3r°y + 92 –…

Q: The electric potential in a particular area varies with position as V(x) = ax2 - bx + c, where a =…

A: The electric field strength is the negative of the potential gradient.

Q: A volume charge distribution creates an electric potential given by the following relation, where a…

Q: Find the electric potential at a distance r > R from the center of the sphere, assuming that the…

A: Given: The distance for electric potential is r > R. The potential at large distances from the…

Q: consider a region along the x-axis where the electric potential at the origin is -160 v. Ex between…

Q: electric Potential V

Q: At a distance d from a charge, the electric potential is V. What would be the electric potential a…

A: Given, At a distance d from a charge, the electric potential is V.

Q: In a particular region, the electric potential is given by V = -axy°z + 3Bxy, where a and B are…

A: Given, Electric potential in the region,V=-αxy9z+3xy

Q: The value of the electric potential of a point charge at a distance r is V. What is the electric…

Q: In a certain region, the electric potential due to a charge distribution is given by the equation V…

A: The electric field is the negative gradient of electric potential. It is given as,

Q: At the vertices of an equilateral triangle with a side 20 cm there are three electrical charges, two…

Q: Consider two points in an electric field. The potential at P1 is V1= -30V and the potential at P2=…

A: given quantities: Potential at P1 = V1 = - 30 V potential at P2 = V2 = 150 V charge(q) = - 4.7 micro…

Q: An insulating, solid sphere has a uniform, positive charge density of p=1.70×10-7 C/m³ . The sphere…

Q: Suppose that the electric potential outside a living cell is higher than that inside the cell by…

A: Given that, the electric potential outside a living cell is higher than that inside the cell by…

Q: a very large, flat plate with

Q: Consider a spherical shell of radius Rand a charge +Q, uniformly distributed over the surface. A…

A: Given , a point on the surface of spherical shell P Radius of shell = R Charge on shell = +Q…

Q: The electric field is equal to the negative of the derivative of the electric potential with respect…

A: Given, The electric field is define as the negative derivative of the electric potential with…

Q: a bar with a length of L lies on the x-axis, with its left end at the origin. the charge density of…

Q: The electric potential in a region of space is V(7) = Ar, with A a constant. How much work does the…

A: The electric potential is

Q: The two charges in the figure below are separated by d = 2.50 cm. (Let q1 = -18 nC and q2 = 27.5…

A: Given,

Q: Positive electric charge Q is distributed uniformly along a line of length2a lying along the y-axis…

A: The electric potential (V) at a point due to a charge distribution is defined as the work done in…

Q: What is the electric potential at the center (point P) of the configuration shown on the below.…

A: Electric Potential created by a charge q at a distance r is given by kqr and Electric potential is a…

Q: A bar with a length of L lies on the x-axis, with its left end at the origin. The charge density of…

A: The diagram for the given condition is:

Q: Consider a semi-circular arc of radius R that has a charge Q that is uniformly spread along its…

Question

The electric field of ?(?) = 1/r + 3(v/m), where r is the distance from the origin, is applied in a region of space. Find the electric potential between the two points ?₁=0,5 m and r₂ =2 m . Hint: you will have to use integration here, with r1 and r2 as your bounds of integration

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

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)?
An electron moving parallel to the x axis has an initial speed of 3.70 106 m/s at the origin. Its speed is reduced to 1.40 105 m/s at the point x = 2.00 cm. (a) Calculate the electric potential difference between the origin and that point. (b) Which point is at the higher potential?
A filament running along the x axis from the origin to x = 80.0 cm carries electric charge with uniform density. At the point P with coordinates (x = 80.0 cm, y = 80.0 cm), this filament creates electric potential 100 V. Now we add another filament along the y axis, running from the origin to y = 80.0 cm. carrying the same amount of charge with the same uniform density. At the same point P, is the electric potential created by the pair of filaments (a) greater than 200 V, (b) 200 V, (c) 100 V, (d) between 0 and 200 V, or (e) 0?
For the arrangement described in Problem 26, calculate the electric potential at point B, which lies on the perpendicular bisector of the rod a distance b above the x axis. Figure P20.26
The charge density on a disk of radius R = 12.0 cm is given by = ar, with a = 1.40 C/m3 and r measured radially outward from the origin (Fig. P26.45). What is the electric potential at point A, a distance of 40.0 cm above the disk? Hint: You will need to integrate the nonuniform charge density to find the electric potential. You will find a table of integrals helpful for performing the integration.
The surface charge density on a long straight metallic pipe is . What is the electric potential outside and inside the pipe? Assume the pipe has a diameter of 2a.
Two point charges, q1 = 2.0 C and q2 = 2.0 C, are placed on the x axis at x = 1.0 m and x = 1.0 m, respectively (Fig. P26.24). a. What are the electric potentials at the points P (0, 1.0 m) and R (2.0 m, 0)? b. Find the work done in moving a 1.0-C charge from P to R along a straight line joining the two points. c. Is there any path along which the work done in moving the charge from P to R is less than the value from part (b)? Explain.
Two large charged plates of charge density 30C/m2 face each other at a separation of 5.0 mm. (a) Find the electric potential everywhere, (b) An electron is released from rest at the negative plate; with what speed will it strike the positive plate?
A metallic sphere of radius 2.0 cm is charged with +5.0C charge, which spreads on the surface of the sphere uniformly. The metallic sphere stands on an insulated stand and is surrounded by a larger metallic spherical shell, of inner radius 5.0 cm and outer radius 6.0 cm. Now, a charge of 5.0C is placed on the inside of the spherical shell, which spreads out uniformly on the inside surface of the shell. If potential is zero at infinity, what is the potential of (a) the spherical shell, (b) the sphere, (c) the space between the two, (d) inside the sphere, and (e) outside the shell?
The two charges in Figure P16.12 are separated by d = 2.00 cm. Find the electric potential at (a) point A and (b) point B, which is hallway between the charges. Figure P16.12
Three particles with equal positive charges q are at the corners of an equilateral triangle of side a as shown in Figure P20.10. (a) At what point, if any, in the plane of the particles is the electric potential zero? (b) What is the electric potential at the position of one of the particles due to the other two particles in the triangle? Figure P20.10
In a particular region, the electric potential is given by V=xy2z+4xy . What is the electric field in this region?