The electric potential at a certain point is given by V = –5.0z² + 2.0zy + 7.0z, where V isin volts and z is in meters. What is the expression for the electric field at that point?

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

Answered: The electric potential at a certain…

The electric potential at a certain point is given by V = -5.0z² + 2.0zy +7.0z, where V is in volts and a is in meters. What is the expression for the electric field at that point?

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 76PQ: An electric potential exists in a region of space such that V = 8x4 2y2 + 9z3 and V is in units of...

See similar textbooks

Related questions

Q: What is the electric potential, in volts, due to the proton on an electron in an orbit with radius…

Q: What is the magnitude of the electric field at the point (4.40 î - 9.10 ĵ + 4.40 k̂) m if the…

A: Given: Point for electric field,P=4.40 i^,-9.10 j^,4.40 k^ Electric potential, V=8.80 xyz2…

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: 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: A small spherical object carries a charge of 8.00 nC. At what distance from the center of the object…

Q: A value of electric potential in a particular point in space is 1200 J/C. If the magnitude of the…

A: Given : V = 1200 J/C q = 8 nC = 8 × 10-9 C

Q: Given that the electric potential ( in units of volts) in a region in space is given as V(X) – 11.5x…

A: The solution can be given as follows :-

Q: In the figure, q1 = +2.00 nC and q2 = -8.00 nC. What is the electric potential at x = 5.00 cm due to…

Q: Over a certain region of space the electric potential is V = 5xy – 3y + 2yz2, the expression of the…

Q: What is the electric potential 1.0 cm from a 1.0 nC charge? What is the potential difference between…

Q: Given that the electric potential ( in units of volts) in a region in space is given as V(x) = 7.1x³…

A: Given data: The electric potential is V(x)=7.1x3. The electric field required at x=2.1 m.

Q: The potential in a region between x = 0 and x = 6.00 m is V= a + bx, where a = 10.0 V and b = -7.00…

Q: The electric field along the y-axis is given by È= ayî where a = 27 N/m.C. Find the electric…

A: Given that, electric field along the y-axis is given by E = ay] where a = 27 N/m.C. Then We have to…

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

A: Electric field

Q: Over a certain region of space, the electric potential is V(x.y.z) = 10 x - 6xy +4yz. The…

A: We have to know about 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: What is the net electric potential at point P? q1=12uC 6b. What is the net electric potential at…

Q: In the figure below given that Q = 15 nC, find the electric potential in units of V at the point p.…

Q: A proton with speed of 2.0 m/s is at the point that has potential difference of 500 V entering a…

A: Given- Speed of proton (v) = 2 x 105 m/s Potential difference (V) = 500 V Mass of proton (m) = 1.6 x…

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: 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 what distance from a 1.0 nC charge is the electric potential equal to 12 V? A) 0.65 m B) 0.75 m…

Q: Given that the electric potential ( in units of volts) in a region in space is given as V(x) = 7.2x3…

A: Given data: The electric potential V(x) = 7.2X3 Point X = 2.1 m

Q: At the point x = 10 m you measure the electric potential to be 480 V. At the point x = 2 m you…

A: Given data: Electric potential at x = 10 m V10 = 480 V Electric potential at x = 2 m V2 = 560 V…

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

A: The electric field and potential are related by E(x)=-dV(x)dx

Q: A uniformly charged rod of length /= 50 cm lies along the x axis, as shown in the figure below. The…

A: Answer d 113

Q: Over a certain region of space, the electric potential is V = 5x - 3x²y + 2yz?, the y component of…

A: Given data: Electric potential. V=5x-3x2y+2yz2

Q: Given that the electric potential ( in units of volts) in a region in space is given as V(x) = 4.3x³…

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

Q: For the following charge distribution, if Q1=1*10-8C, Q2 = - 4*10-8C, Q3 =2*10-8C, then, the…

Q: 2.0 nC +) 3.0 cm 3.0 сm 3.0 cm — 1.0 nС -1.0 nC

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

Q: What is the potential (in V) 0.530 ✕ 10−10 m from a proton (the average distance between the proton…

A: GIven data The average distance is given as r = 0.53 x 10-10 m. The mathematical expression for…

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

Q: The math form for an electric potential is 3 x²y + 2 y²xz. What is the corresponding electric field…

A: Given, the math for an electric potential V =3x2y+2y2xzwe have to calculate the corresponding…

Q: An electric potential is given by the function V (x, y, z) = 6 sin (3x)-e-6y [z²+R?]5/2 5) Find all…

A: Step 1 given data

Q: The figure below represents a graph of the electric potential in a region of space versus position…

A: The negative slope of potential vs distance gives us the value of electrical field in that region.…

Q: A Na+ ion moves from inside a cell, where the electric potential is -70 mV, to outside the cell,…

A: Given quantities: Charge on the ion (q) = + e electric potential inside the cell (V1) = - 70 mV = -…

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

A: Given data *The given electric potential is V(x,y,z) = 3x2y +6xy2 +10xyz *The given point is (x,y,z)…

Q: Under typical atmospheric conditions, there is an electric field near the earth’s surface, directed…

A: (given) The magnitude of electric field near the Earth's surface = 100 V/m Distance observe at point…

Q: Given that the electric potential ( in units of volts) in a region in space is given as V(x) = 5x…

A: The component of the electric field E→in any direction is negative of the rate of change of electric…

Q: At a certain distance from a charged particle, the magnitude of the electric field is 550 V/m and…

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 at a certain point is given by V = –5.0z² + 2.0zy + 7.0z, where V is
in volts and z is in meters. What is the expression for the electric field at that point?

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

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?
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?
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?
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?
In a particular region, the electric potential is given by V=xy2z+4xy . What is the electric field in this region?
How many electrons should be removed from an initially uncharged spherical conductor of radius 0.300 m to produce a potential of 7.50 kV at the surface?
A source consists of three charged particles located at the vertices of a square (Fig. P26.32), where the square has sides of length 0.243 m. The charges are q1 = 35.0 nC, q2 = 65.0 nC, and q3 = 56.5 nC. Find the electric potential at point A located at the fourth vertex. FIGURE P26.32 Problems 32 and 33.
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 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?
(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?
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