Given that the electric potential ( inunits of volts) in a region in space isgiven asV(x,y,z) =3x²y+6xy²+9xyzFind the electric field ( in units ofV/m) along the x-direction (Ex) atthe point ( 1, -1, 2).Select one:O A. 21В. -18Ос. 30O D. 6O E. 18

Answered: Image /qna-images/answer/5a64c7c8-014e-4afd-afbe-b103978e510f.jpg

Answered: Given that the electric potential ( in…

Science

Physics

Given that the electric potential ( in units of volts) in a region in space is given as V(x,y,z) = 3x²y+6xy²+9xyz

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 units of Volts at a distance of 15.3 mm from a point charge of…

A: Electric potential at point is given by V = Kq /r q = point charge r = distance between…

Q: Consider a parallel-plate capacitor constructed of two square plates, 5.67 m on a side, separated by…

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

A: The electric potential is given as, V=3x2y+5xy2+9xyz

Q: In the Figure shown below, what is the net electric potential at the origin due to the circular arc…

Q: An electron and a proton are 1.0 x 10-1ºm apart. In the absence of any other charges, what is the…

Q: The electric potential 1.6 m from a point charge q is 3.8 * 104V.What is the value of q?

A: Given:- V= 3.8*104 V r= 1.6 m

Q: Two charges 4µC and 8µC are placed 2 m apart on the Y-axis. Which of the following position has zero…

A: The given setup is like this ..

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

Q: Two point charges are located along the y-axis: q1 =+4.0 µC is located at y = +5.0 m and q2 = -2.0…

Q: Given that the electric potential ( in units of volts) in a region in space is given as V(x) = 8.3x³…

Q: Calculate the electric potential at a point P which is 20 cm away from an the point charge 1 = 9 x…

A: Given value--- charge q = 2 × 10-8 C distance r = 20 cm. We have to find--- Electric Potential…

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

Q: Given that the electric potential ( in units of volts) in a region in space is given as V(x) = 9.7x3…

A: Formula of electric field in terms of potential is as follows: Ex=vxdx…

Q: The figure shows a charge +q and another charge -q fixed at points A and B separated by adistance of…

A: The formula for the potential is given by V =k qr

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

Q: The three charges in the figure below are at the vertices of an isosceles triangle. Let q = 8.00 nC…

A: Given data The magnitude of the charge is given as q = 8 nC. The distance between the negative two…

Q: The work done by an electric force in moving a charge from point A to point B is 2.7 x10-3 J. The…

Q: For an electric potential at any point in the space is given V=7x^2-5x, calculate the electric field…

A: Given information, Electric potential ,V = 7x2-5x Electric field ,E = dV/dx

Q: Two +6.0 µC point charges are placed at the corners of the base of an equilateral triangle, as shown…

A: Given : Magnitude of charge Q1 = +6.0 x 10-6 CMagnitude of charge Q2 = +6.0 x 10-6 CDistance between…

Q: A charge of 1.50 * 10-8 C lies on an isolated metal sphere of radius 16.0 cm.With V = 0 at infinity,…

Q: Four charges of 6µC, 2µC, –12µC and 4µC are placed at the corners of a square of side 1m. The square…

A: Given: q1=6 μC q2=2 μC q3=-12 μC q4=4 μC Side of the square, a=1 m Charges are placed at corners of…

Q: Three point charges, -Q, -Q, and +3Q, are arranged along the x-axis at the positions 1.0 m, 2.0 m,…

Q: A value of electric potential in a particular point in space is 120 J/C. If the magnitude of the…

A: SOlution: Given that V = 120 J/C q = 8 micro C

Q: Two +2.11-uC point charges are placed at the corners of the base of an equilateral triangle. At…

A: Given, Two +2.11μC point charge are placed at the corners of the base of an equilateral triangle.q1…

Q: A region of space contains an electric potential given by V(x,y,z) = 4x2y – 2z + 5x3yz2 . Determine…

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

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

Q: Consider a uniformly charged ring of radius R-0.2 m and linear charge density 2-3 µC/m as shown in…

Q: Four identical point charges (Q-+6.0 µC) are placed at the corners of a square of side length L-0.10…

Q: Two point charges, separated by a distance L=4.00 cm are fixed on the x axis as shown in the figure.…

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

Q: A charge q1=2.0µC is located at the origin and a charge q2= -6.0 µC is located at (0,3)m. Find 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: What is the magnitude of the electric field at the point (4.00 î - 9.00 ĵ + 3.90 k̂) m if the…

A: Electric field is the negative gradient of potential

Q: The electric potential energy of an electron at point A is UA while its potential energy at point B…

A: Potential energy = potential × charge

Q: The electric potential due to a point charge in space is proportional to O 1/r Or O 1/2 O 2

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: Two point charges, separated by a distance L=4.00 cm are fixed on the x axis as shown in the figure.…

A: q1 = 7 nC q2 = -1.66 nC L = 4 cm

Q: Four identical point charges (Q-+6.0 µC) are placed at the corners of a a square of side length…

Q: Four identical point charges (+6.0 nC) are placed at the corners of a rectangle which measures 6.0 m…

Q: A charge q1= 2.00 µC is located at the origin, and a charge q2 = - 6.00 µC is located at (0, 3.00)…

Q: The electric potential energy of an electron at point A is UA, while its potential energy at point B…

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: A point charged has a charge of 8.00 x 10^-11 C at what distance from the point charge is the…

A: electric potential (V) die to point charge q at a distance x from the charge is given by V V = kq/x…

Q: Consider that the earth and the atmosphere forms a parallel plates of charges. Where the electric…

A: Given : E=790N/C q=1C d=10m The force acting on the charge particle in…

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

Given that the electric potential ( in
units of volts) in a region in space is
given as
V(x,y,z) =
3x²y+6xy²+9xyz
Find the electric field ( in units of
V/m) along the x-direction (Ex) at
the point ( 1, -1, 2).
Select one:
O A. 21
В. -18
Ос. 30
O D. 6
O E. 18

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 with 2 images

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

From a distance of 10 cm, a proton is projected with a speed of v=4.0106 m/s directly at a large, positively charged plate whose charge density is =2.0105 C/m2. (See below.) (a) Does the proton reach the plate? (b) If not, how far from the plate does it turn around?
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?
If a proton is released from rest in an electric field, will it move in the direction of increasing or decreasing potential? Also answer this question for an electron and a neutron. Explain why.
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?
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?
The electric potential inside a charged spherical conductor of radius R is given by V = keQ/R, and the potential outside is given by V = keQ/R, Using Er = dV/dr, derive the electric field (a) inside and (b) outside this charge distribution.
(a) Find the electric potential, taking zero at infinity, at the upper right corner (the corner without a charge) of the rectangle in Figure P16.13. (b) Repeat if the 2.00-C charge is replaced with a charge of 2.00 C. Figure P16.13 Problems 13 and 14.
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)?
Check Your Understanding What is the potential energy of Q relative to the zero reference at infinity at r2 in the above example?
In nuclear fission, a nucleus splits roughly in half, (a) What is the potential 2.001014 in from a fragment that has 46 protons in it? (b) What is the potential energy in MeV of a similarly charged fragment at this distance?
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) What is the final speed of an electron accelerated from rest through a voltage of 25.0 MV by a negatively charged Van de Graff terminal? (b) What is unreasonable about this result? (c) Which assumptions are responsible?