Answered: The electric potential in a region…

The electric potential in a region along the x-axis varies with x according to V(x)=7 + 40 x-2, where V is in (volt) and x is in (m). The magnitude of the electric field (in V/m) when x=0.5 m is:

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 51PQ

See similar textbooks

Related questions

Q: What is the electric potential in volts (relative to zero at infinity) at the origin for a charge of…

Q: Suppose the electric potential due to an electric field is given as V=4⋅x2−14⋅y2V=4⋅x2−14⋅y2, where…

A: The electric field is given by E=-∂V∂x+∂V∂y

Q: The electric potential along the x-axis is V=100e−2xV, where x is in meters. What is Ex at x=1.0m?…

A: Electric field is given by,

Q: e potential in a region between x = 0 and x = 6.00 m is V = a + bx, where a = 17.2 V and b = -4.50…

A: Given that-- V = a + bx Where a = 17.2 V and b = -4.50 V/m Question ❓ At some value of x , (a) find…

Q: The electric potential in a certain region of space depends only on the x-coordinate in the…

A: The electric field is negative gradient of the electric potential. E=dV/dr

Q: For the following charge distribution, if Q1=3*10® C, Q2 = - 3*10°C, Q3 = - 2*10°C, then, the…

A: The electric potential at a distance due to the charge is given by V =k qr where, r is the…

Q: The electric potential Vx, y, z) in a region of space is given by V(x, y, z) = Vo (2x^2 - 3y^2 - z^2…

Q: Electric charges of+10µC, +5µC, -3µC and +8µC are placed at the corners of a square of side /2 m.…

Q: In a certain region of space, the electrical potential is given by the relation V(x,y,z) = Axy – Bx2…

A: The electric potential function is expressed as Vx,y,z=Axy-Bx2+Cy

Q: Given that the electric potential ( in units of volts) in a region in space is given as V(x.y.z) =…

Q: Over a certain region of space, the electric potential (in volts) is given by V=5x - 3x-y + 2yz2,…

A: Electric field

Q: At a certain distance from a point charge, the magnitude of the electric field is 500 V/m and the…

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

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

Q: A uniform electric field, with a magnitude of 500 V/m, is directed parallel to the +x axis. If the…

Q: What is the electric potential at point A? 10 nC 40 cm i 2.0 cm -5.0 nC 1 1 1 A

A: The solution for this question has been solved below...

Q: An electric potential produced by some distribution of charge in a region is given by the equation…

A: An object is said to be charged if it has an excess of either the negative or the positive charges.…

Q: Given that the electric potential ( in units of volts) in a region in space is given as V(x) = 10.1x…

Q: In the diagram, q1 = -6.39*10^-9 C and q2 = +3.22*10^-9°C. What is the electric potential at point…

Q: A parallel-plate capacitor has plates separated by 0.73 mm If the electric field between the plates…

A: The equation for the electric field between the plates of a parallel plate capacitor is given by

Q: The electric potential in a certain region of space is given by V(x,y,z)=αx2y+βy2z, where α=364 V/m3…

Q: Given that the electric potential ( in units of volts) in a region in space is given as V(x,y,z) =…

Q: In a particular region, the electric potential is given by V=−xy2z+4xy What is the electric field…

A: Given data: electric potential (V)=−xy2z +4xy Need to determine the electric field in this region.

Q: The electric potential in a region of space is given by the function V = 10x -3, where x is in…

A: The relation between the electric field and the electric potential: E = -∂V∂rGiven:V= 10x-3

Q: Given that the electric potential ( in units of volts) in a region in space is given as V(x) =…

A: The given data are: Vx=12.4x3x=2.1 m

Q: The electric potential at a certain point is given by V = -5.0z² + 2.0zy +7.0z, where V is in volts…

A: In this problem expression of electric potential is given as : V = -5x² + 2xy + 7z We know, E = -…

Q: The electric potential V at any point O (x, y, z all in metres) in space is given by V = 4x² volt.…

Q: The electric potential is given by the following expression: V(x, y, z) = x²yz + 2y²z, where V is in…

Q: The potential in a region between x= 0 and x = 6.00 m is V = a + bx, where a Determine (a) the…

A: Given Electric potential at x is. V(x) = 10 - 7x volts. And E = dV/dX

Q: Over a certain region of space, the electric potential is V = 5x-3xy+yz2. Find the expressions for…

A: If the electric potential is known as a function of coordinates x, y and z, we can obtain the…

Q: If the electric potential is given by V(x, y) = (12 V/m2) x2 + (3 V/m) y determine the magnitude of…

Q: The electric potential at x = 3.00 m is 120 V, and the electric potential at x = 5.00 m is 190 V.…

A: Electric Potential at x1=3 m is V1=120 V and at x2=5 m is V2=190 V Relation between x component of…

Q: The electric potential of a certain region is given by: V(x,y,z) = [3x²z + 5xy³ + 6z²]V. What is the…

Q: A uniform electric field with a magnitude of 600 N/C, is directed parallel to the positive x-axis.…

Q: If the potential in a certain region is given by V =x y2 + x?y. The magnitude of the electric field…

Q: The electric potential in a region of space is V=250V⋅mx2+y2√, where x and y are in meters. What is…

A: Given the electric potential as

Q: If the electric potential along the x-axis is V = 300 x2 V, where x is in meters, what is Ex at x =…

Q: A proton located at x = 1m is released along the positive x direction in an electric potential of…

Q: The electric potential, relative to infinity, of a certain charge distribution with a total charge Q…

Q: The electric potential in a certain region is given by the equation V(x,y,z) = 3αx2y3 - 2γx2y4z2…

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

Q: When an uncharged conducting sphere of radius a is placed at the origin of an xyz coordinate system…

Q: For the following charge distribution, if Q1=3*10 C, Q2 = - 3*10°C, Q3 = - 2*10°C, then, the…

A: The electric potential at a distance due to a charge is given by V = k qr

Q: The electric potential Vx, y, z) in a region of space is given by V(x, y, z) = Vo (2x - 3y - z ),…

Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

The electric potential in a region along the x-axis varies with x according to V(x)=7 + 40 x-2, where V is in (volt) and x is in (m). The magnitude of the electric field (in V/m) when x=0.5 m is:

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

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

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?
In a particular region, the electric potential is given by V=xy2z+4xy . What is the electric field in this region?
A small spherical pith ball of radius 0.50 cm is painted with a silver paint and then -10 C of charge is placed on it. The charged pith ball is put at the center of a gold spherical shell of inner radius 2.0 cm and outer radius 2.2 cm. (a) Find the electric potential of the gold shell with respect to zero potential at infinity, (b) How much charge should you put on the gold shell if you want to make its potential 100 V?
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 dielectric to be used in a parallel-plate capacitor has a dielectric constant of 3.60 and a dielectric strength of 1.60107 V/m. The capacitor has to have a capacitance of 1.25 nF and must be able to withstand a maximum potential difference 5.5 kV. What is the minimum area the plates of the capacitor may have?
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
The three charged particles in Figure P20.11 are at the vertices of an isosceles triangle (where d = 2.00 cm). Taking q = 7.00 C, calculate the electric potential at point A, the midpoint of the base. Figure P20.11
A parallel-plate capacitor with capacitance C0 stores charge of magnitude Q0 on plates of area A0 separated by distance d0. The potential difference across the plates is V0. If the capacitor is attached to a battery and the charge is doubled to 2Q0, what are the ratios (a) Cnew/C0 and (b) Vnew/V0? A second capacitor is identical to the first capacitor except the plate area is doubled to 2A0. If given a charge of Q0, what are the ratios (c) Cnew/C0 and (d) Vnew/V0? A third capacitor is identical to the first capacitor, except the distance between the plates is doubled to 2d0. If the third capacitor is then given a charge of Q0, what are the ratios (e) Cnew/C0 and (f) Vnew/V0?
At a certain distance from a charged particle, the magnitude of the electric field is 500 V/m and the electric potential is 3.00 kV. (a) What is the distance to the particle? (b) What is the magnitude of the charge?