Given that the electric potential ( in units of volts) in a region in space is given asV(x) = 5x3Find the electric field ( in units of V/m) along the x-direction (E,) at the point x=2.1 m.on

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

Answered: Given that the electric potential ( in…

Given that the electric potential ( in units of volts) in a region in space is given as V(x) = 5x Find the electric field (in units of V/m) along the x-direction (E,) at the point x=2.1 m.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter20: Electric Potential And Capacitance

Section: Chapter Questions

Problem 23P

See similar textbooks

Related questions

Q: Two points, A and B, are separated by 0.0414 m. The potential at A is +72.9 V, and that at B is…

A: Given, The potential at A VA=+72.9 V The potential at B VB=+37.6 V The distance between the points A…

Q: Consider a parallel-plate capacitor constructed of two square plates, 8.95 m on a side, separated by…

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 that the electric potential outside a living cell is higher than that inside the cell by…

A: work done to move a charge W =q∆V where q = charge of particle ∆V = change in potential…

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: 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: Three points A, B and C are a straight line, with the electric potential at A is 320V and at C is…

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

A: Electric potential is given by : V(x) = 12.5 x3To find the x component of electric field at point x…

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: A plastic rod has been bent into a circle of radius R = 11.5 cm. It has a charge Q1 = +2.85 pC…

A: Electric potential = kqr . V= k (∫02πr/4Q12πrdr x 1r + ∫02πr.3/4Q22πrdr x 1r) We may solve this…

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: 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: 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: Consider two points in an electric field. The potential at P1 is V1= -30V and the potential at P2=…

A: given quantities: Potential at P1 = V1 = - 30 V potential at P2 = V2 = 150 V charge(q) = - 4.7 micro…

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(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: A charge of 1.0 C is located on the y-axis 1.0 m from the origin at the coordinates (0,1) while a…

A: q1= 1 C placed 1meter away from the origin on the y-axis. q2= 1 C placed 1meter away from the origin…

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

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: Given that the electric potential ( in units of volts) in a region in space is given as V(x) = 11x³…

A: Option A is the right answer A. -145.53 V/m

Q: Three point charges are placed on the x-axis. 30 µC at the origin, -56 µC at x=0.292 m, -85 µC at x…

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: 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: 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: 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: The linear non-uniform charge distribution given by lamda = bx, where b is a constant, lies along…

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…

Q: The electric potential in some region is given by = x²y* + 3z4, The x-component of the electric…

A: Given : Electric potential, V = x2y + 3z4

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) = 5x3
Find the electric field ( in units of V/m) along the x-direction (E,) at the point x=2.1 m.
on

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 3

VIEW

Step by step

Solved in 3 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

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?
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)?
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?
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 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
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 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?
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.
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
Two very large metal plates are placed 2.0 cm apart, with a potential difference of 12 V between them. Consider one plate to be at 12 V, and the other at 0 V. (a) Sketch the equipotential surfaces for 0, 4, 8, and 12 V. (b) Next sketch in some electric field lines, and confirm that they are perpendicular to the equipotential lines.
A metallic sphere of radius 2.0 cm is charged with +5.0C charge, which spreads on the surface of the sphere uniformly. The metallic sphere stands on an insulated stand and is surrounded by a larger metallic spherical shell, of inner radius 5.0 cm and outer radius 6.0 cm. Now, a charge of 5.0C is placed on the inside of the spherical shell, which spreads out uniformly on the inside surface of the shell. If potential is zero at infinity, what is the potential of (a) the spherical shell, (b) the sphere, (c) the space between the two, (d) inside the sphere, and (e) outside the shell?
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?