An electron is placed in an xy plane where the electric potential depends on x and y as shown in the figure (the potential does not depend on z). The scale of the vertical axes is set by Vs = 500 V. In unit-vector notation, what is the electric force on the electron? Number i V (V) i i 0,2 x (m) 0,4 (A) A 0.2 y (m) j Units 0.4

An electron is placed in an xy plane where the electric potential depends on x and y as shown in the figure (the potential does not depend on z). The scale of the vertical axes is set by Vs = 500 V. In unit-vector notation, what is the electric force on the electron? Number i V (V) i i 0,2 x (m) 0,4 (A) A 0.2 y (m) j Units 0.4

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 2OQ

See similar textbooks

Related questions

Q: Suppose there is an isolated charge (+1.5x10-19C) that is displaced from point A to B due to the…

A: given: q=1.5*10-19 CE=6.9 N/CD = 1.5 m

Q: The electric field along the x-axis is given by È = axî where a = 5 N/m.C. Find the electric…

A: Introduction: The electric potential is defined as the amount of work need to bring a charge inside…

Q: A negative charge q= -9.0x 10-3 C is released from rest at point A, where the electric potential is…

Q: An external electric field is given by A E = where A is a positive constant, r is the radial…

Q: Four identical electrical charges q1, q2, q3, q4 with a value of 6.5nC are located at the vertices…

Q: A constant electric field with magnitude 1.50 ✕ 103 N/C is pointing in the positive x-direction. An…

Q: total electric field E and the potential V at point P 5 (10,10,0)cm. Position vectors are given in…

Q: An electron moving parallel to the x axis has an initial speed of 3.70× 106 m/s at the origin. Its…

Q: ant electric field with magnitude 1.50 x 103 N/C is pointing in the positive x-direction. An…

Q: t a particular moment in the xy plane, The electrical potential of V(x,y) is provided by V(x,y) = y…

A: The electric field is given by taking the negative signed gradient of the potential function, i.e…

Q: What is the magnitude of the electric field at the point (2.40 i - 1.10j +7.50 k) m if the electric…

Q: The electric field along the x-axis is given by Ê = axî where a = 21 N/m.C. Find the electric…

A: Given a=21N/mC X1=0.8m and X2=2.4m

Q: Positive electric charge Q is distributed uniformly along a thin rod of length 2a. The rod lies…

Q: A positive point charge (q +9.51 x 108 C) is surrounded by an equipotential surface A, which has a…

Q: Over a certain region of space, the electric potential is V = 4x – 4xy + 2yz". (a) Find the…

A: Solution:-Given thatElectric Potential V=4x-4x2y+2yz2X,Y & Z component of electric field over…

Q: In a region where there is an electric field, the electric forces do +2.10 × 10−19 J of work on an…

A: Given that:- Work done by electric force on electron=+2.1×10^-19J

Q: The electric potential in a certain region is represented by the graph shown below. What is the…

Q: Inside a particular particle accelerator, there is a uniform electric field with a magnitude 435 N/C…

Q: Suppose that, as a function of x, y, and z, an electric field has the following components:…

A: It is given that

Q: Pick out the expression of electric potential energy from the following. a) U = 1(4πεo)×[q1q2r] b) U…

A: A

Q: The force between charges is proportional to the product of their charges and inversely proportional…

Q: An electric dipole is made of two charges of equal magnitudes and opposite signs. The positive…

A: Initially, if the angle between the electric field vector and the dipole moment vector is assumed as…

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

A: Given: The graph of variation of electric potential along x-axis as shown below: The graph of…

Q: A particle has a mass of 1.8 x 10-5 kg and a charge of +3.0 x 10-5 C. It is released from point A…

Q: ergy of the pa

A: Given: To find the electric potential of the difference VB-VA is given as, q= 8.0 mC Work done= 6.4…

Q: An electrically charged particle is held at rest at the point x = 0; a second particle with equal…

A: An electrically charged particle is held at rest at the point x = 0; a second particle with equal…

Q: An electron moving parallel to the x-axis has an initial speed of 3.70 x 106 m/s at the origin. Its…

A: All charged particles create an electric field around them. A particle in this field experiences a…

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

Q: A proton, an electron, and an alpha particle (of charge +2e) form an equilateral triangle of side…

A: The charge of a proton is, qp=1.6×10-19 C. The charge of an electron is, qe=-1.6×10-19 C. The charge…

Q: The electric potential in a region of space is V(7) = Ar³, with A a constant. How much work does 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

An electron is placed in an xy plane where the electric potential depends on x and y as shown in the figure (the potential does not
depend on z). The scale of the vertical axes is set by V5 = 500 V. In unit-vector notation, what is the electric force on the electron?
Number
i
V (V)
0
0.2
x (m)
0.4
V (V)
V₂
0
0.2
y (m)
j Units
0,4

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 with 3 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

Four charged particles are at rest at the corners of a square (Fig. P26.14). The net charges are q1 = q2 = +2.65 C and q3 = q4 = 5.15 C. The distance between particle 1 and particle 3 is r13 = 1.75 cm. a. What is the electric potential energy of the four-particle system? b. If the particles are released from rest, what will happen to the system? In particular, what will happen to the systems kinetic energy?
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)?
Four charged particles are at rest at the corners of a square (Fig. P26.14). The net charges are q1 = q2 = 2.65 C and q3 = q4 = 5.15 C. The distance between particle 1 and particle 3 is r13 = 1.75 cm. a. What is the electric potential energy of the four-particle system? b. If the particles are released from rest, what will happen to the system? In particular, what will happen to the systems kinetic energy as their separations become infinite? FIGURE P26.14 Problems 14, 15, and 16.
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 proton is released from rest at the origin in a uniform electric field in the positive x direction with magnitude 850 N/C. What is the change in the electric potential energy of the protonfield system when the proton travels to x = 2.50 m? (a) 3.40 1016 J (b) 3.40 1016 J (c) 2.50 1016 J (d) 2.50 1016 J (e) 1.60 1019 J
The three charged particles in Figure P25.22 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.
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
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?
Four particles are positioned on the rim of a circle. The charges on the particles are +0.500 C, +1.50 C, 1.00 C, and 0.500 C. If the electric potential at the center of the circle due to the +0.500 C charge alone is 4.50 104 V, what is the total electric potential at the center due to the four charges? (a) 18.0 104 V (b) 4.50 104 V (c) 0 (d) 4.50 104 V (e) 9.00 104 V
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?
FIGURE P26.14 Problems 14, 15, and 16. Four charged particles are at rest at the corners of a square (Fig. P26.14). The net charges are q1 = q2 = 2.65 C and q3 = q4 = 5.15 C. The distance between particle 1 and particle 3 is r13 = 1.75 cm. a. What is the electric potential energy of the four-particle system? b. If the particles are released from rest, what will happen to the system? In particular, what will happen to the systems kinetic energy as their separations become infinite?