Given that the electric potential ( in units of volts) in a region in space is given as V(xy.z) = 4x3y+5xy2+9xyz Find the electric field (in units of V/m) along the x- direction (E,) at the point (1, -1, 2)

Given that the electric potential ( in units of volts) in a region in space is given as V(xy.z) = 4x3y+5xy2+9xyz Find the electric field (in units of V/m) along the x- direction (E,) at the point (1, -1, 2)

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter23: Electric Fields

Section: Chapter Questions

Problem 23.2P: (a) Calculate the number of electrons in a small, electrically neutral silver pin that has a mass 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, 8.95 m on a side, separated by…

Q: Consider a solid sphere of radius R = 0.4 m that is uniformly charged with ρ = -15 μC/m3. What is…

A: Given data: A solid sphere is given. The radius of the sphere is, R= 0.4 m The volume charge density…

Q: A rod of length L is lying on x-axis with left end at the origin and has a non-uniformly linear…

A: Given: Length of rod = L charge density λ=5x

Q: A 4.0 nC charge is uniformly distributed along the abscissa axis from x = + 4m to x = + 6m. Which of…

A: Given data *The given charge is q = 4.0 nC = 4.0 × 10-9 C *The charge is uniformly distributed along…

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: 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: In the figure what is the net electric potential at the origin due to the circular arc of charge Q1…

A: The electric potential due to a point charge at a distance r, V=kqr

Q: conducting sphere of radius R carries a net positive charge Q, uniformly distributed over the face…

A: electric field inside a conducting sphere is =0, as charge inside the conducting sphere is zero…

Q: Consider two positive charges located on the y-axis. let Q= 4.0μC, and a= 0.07 m. Find the electric…

A: Electric potential due to a point charge at a distance a is defined as V=kqr Here V is potential, k…

Q: A plastic rod has been bent into a circle of radius R = 11.1 cm. It has a charge Q1 = +4.61 pC…

A: Given Data The radius of the circle is R = 11.1 cm. The charge on the circumference is Q1 = +4.61…

Q: In the figure what is the net electric potential at the origin due to the circular arc of charge Q1…

A: Electric potential=kQ/r where Q is charge of particle. Given Q1=7.95pC Q2=4.2Q1…

Q: In Figure, a plastic rod having a uniformly distributed charge Q=-25.6 pC has been bent into a…

Q: Consider the electric potential $(z, y, 2) = Vo a(1/m) - ry(V/m2)+ ay:(V/m) It is given that the…

Q: A plastic rod has been bent into a circle of radius R = 11.7 cm. It has a charge Q1 = +8.80 pC…

Q: A +6.00uC charge and -3.00uC charge are located on 2 vertices of an equilateral triangle with sides…

A: The equation for the electric potential at a point due to a point charge is given by

Q: A semi-circular ring of radius R = 1.00 m carries a charge Q = 2.00 nC that is uniformly…

Q: A plastic rod has been bent into a circle of radius R = 11.0 cm. It has a charge Q1 = + 5.38 pC…

Q: A rod of length L = 4.00 m with uniform charge of 6.80 nC/m is oriented along the y axis as shown in…

A: Formula of electric potential at axial point of uniformly charged rod is as follow: V=kλlnd+Ld…

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

A: Solution: Given: k = Coulomb's constant = 8.99 x 109 N.m2/C2 O = origin of the coordinate system Q1…

Q: A 1 = 6.00 µC point charge is at the origin, and another point charge 92 =-3.00 µC is on %3D the…

A: The given charges, q1=6.0 μCq2=-3.0 μC In this case, the charge q1 is at origin and the charge q2…

Q: A charged ball is fired straight up, starting from a point at which the electric potential is +200…

A: Given distance between successive lines h = 1 m gravitational acceleration g = 10 m/s2 mass of ball…

Q: A solid conducting sphere has a net positive and a radius 0.400 m. At a point 1.20 m from its…

Q: Álong the x-axis, the potential is given by: V(x) = 2.16 - 0.251x - 0.137x where x is in meters, and…

A: The electric field is the negative gradient of electric potential. The electric field is given by,…

Q: A very thin rod carrying linear charge density A lies in the ay plane making angle 1/4 with the x…

Q: A force field is given by F = (-8x + 5yz)į + (5xz-6yz)į + (5xy - 3y)k Determine the associated…

A: 2

Q: When we have a uniformly charged ring, if we evaluate the electric potential at the center of the…

A: When we have a uniformly charged ring, if we evaluate the electric potential at the center of the…

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: A very thin rod carrying linear charge density A lies in the ry plane making angle 7/4 with the x…

Q: Three charges are at three corners of a rectangle with side L1 = 2 m and L2 = 3.1 m as shown below.…

Q: It is known that the electric quantity Q is uniformly distributed on the spherical surface of radius…

Q: Consider two positive charges located on the y - axis. Let Q = 4.0 µC, and a = 0.07 m. Find the…

A: (a) Electric potential at point origin ,O E0=kQa+kQa…

Q: Assuming that the two point charges Q1 = 12nC and Q2 = -15nC are at points (4, 3, 1) and (5,-2, 3)…

Q: A plastic rod has been bent into a circle of radius R = 8.88 cm. It has a charge Q₁ = +8.25 pC…

Q: What is the electrical potential at the center (point O) of a non- uniformly charged semicircular…

A: Given: Radius of semicircular ring R = 5 cm Charge density λ(θ) = 5.0×10-9 sin(θ) C/m Vnet at O = ?…

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: Consider a uniformly charged ring of radius R=0.2 m and linear charge density 1-3 µC/m as shown in…

A: apply v = kq/r

Q: A uniform electric field pointing in positive x-direction exists in a region. Let A be the origin, B…

A: Given data: The position of A is origin, therefore its coordinate is (0, 0). The position of B is…

Q: A rod of length L is lying on x-axis with left end at the origin and has a non-uniformly linear…

Q: What is the electrical potential at the center (point O) of a non- uniformly charged semicircular…

A: Given that:- Radius =25cm

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: An electron is placed in an xy plane where the electric potential depends on x and y as shown in the…

A: Given: An electron is placed in an xy plane where the electric potential depends on x and y. The…

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

12
Imssb1.mutah.edu.jo/mor &
علم هذا السؤال
Given that the electric
potential ( in units of volts) in
a region in space is given as
V(x,y.z) =
4x3y+5xy²+9xyz
Find the electric field (in units
of V/m) along the x-
direction (E,) at the point ( 1,
.-1, 2)

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

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 uniform electric field E = 3 000 V/m exists within a certain region. What volume of space contains an energy equal to 1.00 107 J? Express your answer in cubic meters and in liters.
An electron and a proton, each starting from rest, are accelerated by the same uniform electric field of 200 N/C. Determine the distance and time for each particle to acquire a kinetic energy of 3.21016 J.
Figure CQ16.3 shows equipotential contours in the region of space surrounding two charged conductors. Find (a) the work WAB in electron volts done by the electric force on a proton that moves from point A to point B. Similarly, find (b) WAC, (c) WAD, and (d) WAE. Figure CQ16.3
Two thin conducting plates, each 25.0 cm on a side, are situated parallel to one another and 5.0 mm apart. If electrons are moved from one plate to the other, what is the electric field between the plates?
(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?
(a) Will the electric field strength between two parallel conducting plates exceed the breakdown strength of dry air, which is 3.00106 V/m, if the plates are separated by 2.00 mm and a potential difference of 5.010V is applied? (b) How close together can the plates be with this applied voltage?
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?
(a) Calculate the number of electrons in a small, electrically neutral silver pin that has a mass of 10.0 g. Silver has 47 electrons per atom, and its molar mass is 107.87 g/mol. (b) Imagine adding electrons to the pin until the negative charge has the very large value 1.00 mC. How many electrons are added for every 109 electrons already present?
4.0om TOne+4.00C - Recloyle 3.0cm what is the ret eectric Brce on chorge 93 due to clorges 9,ond qz, (Direchion ond mapni) O what is the net electric for ce on charge 9 due to chorpes 9,and 9.-10.0µC 93-3.00 C Direction ond mainitude) Owhat is the ret electric field on 93? point P due to clarpes q,92,0nd93 (Dinection and mganitnde)
... Path of trajectory AV w An electron is fired at a speed v¡ = 3.4 x 106 m/s and at an angle 0; = 30.5° between two parallel conducting plates as shown in the figure. If s = 1.5 mm and the voltage difference between the plates is AV = 98 V, determine how close, w, the electron will get to the %3D %3D bottom plate. Put your answer in meters and include at 6 decimal places in your answer. Do not include units. The x-axis of the coordinate system is in the middle of the parallel plate capacitor. Round your answer to 6 decimal places.
An electric field is given by E = (5x,0,0) in units of N/C when x is in meters. What is the potential difference VA – VB from point B at (0,7) m to point A at (7,0) m? -