Given that the electric potential ( in units of volts) in a region in space is given as V(x) = 7.1x³ Find the electric field ( in units of V/m) along the x-direction (Ex) at the point x=2.1 m. Select one: O A. -65.75 O B. -197.26 O C. -93.93 O D. -9.39 O E. 93.93

Given that the electric potential ( in units of volts) in a region in space is given as V(x) = 7.1x³ Find the electric field ( in units of V/m) along the x-direction (Ex) at the point x=2.1 m. Select one: O A. -65.75 O B. -197.26 O C. -93.93 O D. -9.39 O E. 93.93

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: Electric Potential The work done is moving a charge of 2.0 µC between two points in an electric…

A: Given: The chanrge is 2 μC. The work done on the charge is 1.5x10-4 J.

Q: 1. Suppose you found a hexagon made by your neighbor's bees made up of 6 equilateral triangles of…

A: Electric potential due to point charge V = kq /r Electric potential is a scalar quantity it is…

Q: 16. Two point charges q1 = 2.40 nC and q2 = -7.00 nC are 0.100 m apart. Point A is midway between…

A: Given data, Charge q1=2.40 nC Charge q2=-7.00 nC Distance between charges (d)=0.100 m Distance…

Q: 7 - What is the direction of the potential at point P with respect to the system in the figure?…

A: The figure has not been attached to the question. Even the, it is known that even though the…

Q: The naturally occurring charge on the ground on a fine day out in the open country is -1.00 nC/m2.…

Q: 23.34 Four identical point charges (+1.61 nC) are placed at the corners of a rectangle, which…

A: the distance of the centre from corner of the rectangle is given…

Q: 9. Still refer to the above, find the electric potential at (0, 0, 1.5) a. 173 V b. 400 V c. 612 V…

A: As you have asked for Q10 therefore I have answered that question only

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

Q: 8. For the following situations, consider moving a positive charge from very far away to the origin…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 21) The figure shows two arcs of a circle on which charges +Q and -Q have been spread uniformly.…

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

A: The equation of electric potential is, Vx=13.1x3

Q: 6.The electric potential (relative to infinity) due to a single point charge Q is +400 V at a point…

A: According to question we need to find--- The electric potential (relative to infinity) at a point…

Q: 7. Calculate the work that must be done on charges to bring them from infinity to charge a spherical…

A: Given data: The work done on the charge is: W The radius of the spherical shell is: R The total…

Q: 5. A particle of unknown charge obtains 0.042 J of kinetic energy as it moves from point A to point…

Q: 2: If there are two equipotential surfaces separated by a distance of 25 centimeters as shown. Which…

A: In the figure, the electric field lines are the same, and they point in the same direction. Hence,…

Q: QUESTION 5 A line of length L-8.00 cm and total charge Q=6.00 nC is placed along the y axis as shown…

Q: 13- which of the following best describes how electric potential varies with distance in the region…

A: Let a point charge = Q Let the distance of observation point from the charge = r

Q: 1. A point particle of charge 2.5 nC and mass 3.25x10-3kg is in a uniform electric field directed to…

A: A point particle of charge q and mass m moving under a uniform electric field E experiences a force.…

Q: 13) The electric potential at a distance of 4 m from a certain point charge is 200 V relative to…

A: Given : Potential at distance of 4 m is 200 V Find : Potential at a distance of 2 m

Q: 6. The graph shows the x-component of the electric field as a function of position on the X-axis. If…

Q: 6.For the following situations, consider moving a positive charge from very far away to the origin…

Q: A charge of 10 nC is distributed uniformly along the x axis from x -2 m to x = +3 m. Which of the…

A: The change in electric potential can be given as

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

Q: 2. Three charges are fixed at the vertices of a square of 1m side, as shown, with qı=+2nC, q2=+4nC,…

Q: 200 The electric potential in a region of space is V = where x and y are in Vx?+y2 meters. What are…

Q: (2) Imagine a pyramid with a square base of length L and four equilateral triangles. At each corner,…

A: There are 4 charges of magnitude q at 4 corners of a square of length L. So the diagonal has a…

Q: 3. Question The electrical potential in a certain region of space is given as V (x, y, z) 2xyz? (V).…

Q: Given that the electric potential ( in units of volts) in a region in space is given as V(X) = 6.2x…

A: given that V(x) = 6.2 x3 x = 2.1 we know that E = - d V/ dx

Q: The electric potential due to isolated conducting sphere of radius R and total charge Q, when r ˃ R…

A: Answer option(B) keQ/r

Q: What is the electric potential difference between the origin (0,0) and the position (2m, 0) if the…

A: Electric field (E) = 250 V/m Δd= X2 -X1 = 2-0 Δd= 2m

Q: Given that the electric potential ( in units of volts) in a region in space is given as V(x) = 7.4x3…

A: Electric field, when potential function is given, E=-dVdx

Q: 9. Then, solve using the equation: V = k .... An electric dipole consists of points charges q, =+ 1…

A: Given: Charge q1=+1 nC, charge, q2 = -1 nC are located at a distance d= 1.0 m apart. To…

Q: 7. The system consisting of two electrically charged objects is as in the figure. Since the…

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

Q: Sketch the equipotential lines in the vicinity of two opposite charges, where the negative charge is…

A: For the given charge distribution, first, draw the electric field lines for the given charge system…

Q: When an electron moves from A to B along an electric field line in Figure, the electric field does…

A: Required : The correct option.

Q: 92 Two positive charges, each with charge q = 2.5 nC, are placed as shown in the diagram. The…

A: Given: The magnitude of the first charge (q1) is 2.5 nC. The magnitude of the second charge (q2) 2.5…

Q: 1. Suppose the electric potential is +2 V everywhere along the x axis. From this information, you…

A: Given, Electric potential everywhere along x-axis, V(x) = 2V To find x component of electric field,…

Q: 184 Cool-down The electric potential at point A is - 300V. or smaller? (a) How is the potential at…

A: Given that the potential at point A is -300V, and the electric field is given by 1000V/m.Write the…

Q: 5. In a certain region of space, potential difference between two points A and B is 50 V (VĄ – Vg =…

A: As per our guidelines, we are supposed to answer only first one question in case of multiple…

Q: 10. The three charges in the below figure are at the vertices of an isosceles triangle, where q =…

Q: 1. A charge 2µC is 0.3 meters to the left of a -1µC charge. Find the magnitude of the electric field…

A: (1)The equation for the magnitude of the electric field due to a point charge is given by, The net…

Q: 3. Consider two positive charges located on the y-axis. Let Q = 4.0 µC, and a 0.07 m Find the…

A: Distance of charges from origin is a. Potential at origin will be due to both charges. V =…

Q: 1- The electric potential at x =3 m is 120 V, and the electric potential at x=5m is 190 V,assuming…

A: Electric field is a vector that goes from higher potential to the lower potential. It is the given…

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

A: The equation of the electric potential is given as, V=4x2y+7xy2+9xyz The point at which electric…

Q: 6-The net electric charge of the earth is considered to be equivalent to 1 electron / m (i.e. --e C…

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) = 4x2y + 6xy2 +9xyz *The given point is (x,y,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

Given that the electric potential ( in
units of volts) in a region in space is
given as
V(x) = 7.1x³
Find the electric field ( in units of
V/m) along the x-direction (E,) at
the point x=2.1 m.
Select one:
O A. -65.75
B. -197.26
OC. -93.93
D. -9.39
O E. 93.93

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?
(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.
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.
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 particle with charge -40.0 nC is on the x axis at the point with coordinate x = 0. A second panicle, with charge -20.0 nC, is on the x axis at x = 0.500 in. (i) Is the point at a finite distance where the electric field is zero (a) to the left of .v = 0, (b) between x = 0 and x = 0.500 in, or (c) to the right of x m 0.500 in? (ii) Is the electric potential zero at this point? (a) No; it is positive, (b) Yes. (c) No; it is negative. (iii) Is there a point at a finite distance where the electric potential is zero? (a) Yes; it is to the left of x = 0. (b) Yes; it is between x = 0 and x = 0.500 in. (c) Yes; it is to the right of x = 0.500 in. (d) No.
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) 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?
An electron is at the origin, (a) Calculate the electric potential VA at point A, x = 0.250 cm. (b) Calculate the electric potential VB at point B, x = 0.750 cm. What is the potential difference VB VA? (c) Would a negatively charged particle placed at point A necessarily go through this same potential difference upon reaching point 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) Find the equivalent capacitance between points a and b for the group of capacitors connected as shown in Figure P16.46 if C1 = 5.00 F, C2 = 10.00 F, and C3 = 2.00 F. (b) If the potential between points a and b is 60.0 V, what charge is stored on C5? Figure P16.46
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
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?