What is the magnitude of the electric field at the point (3, 2) m if the electric potential is given by V=2x+5xy+3y² volts. What acceleration does an electron experience in the x- direction? (29.54N/C, 2.11×101² m/s² ) antinn 2d are nonitie

What is the magnitude of the electric field at the point (3, 2) m if the electric potential is given by V=2x+5xy+3y² volts. What acceleration does an electron experience in the x- direction? (29.54N/C, 2.11×101² m/s² ) antinn 2d are nonitie

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter7: Electric Potential

Section: Chapter Questions

Problem 61P: Two large charged plates of charge density 30C/m2 face each other at a separation of 5.0 mm. (a)...

See similar textbooks

Related questions

Q: What is the electric potential, in volts, due to the proton on an electron in an orbit with radius…

Q: The electric potential at points in an xy plane is gien by V=( 2 V/m2)x2-(3V/m2)y2 . In unit vector…

A: Given : Electric potential (V) = 2 x2 - 3y2To find : the electric field at point (3m , 2m)

Q: Two spherical shells have a common center. The inner shell has radius R1 = 5.00 cm and charge q1 =…

A: Given data: Inner radius, R1=5 cm=0.05 m Outer shell radius, R2=15 cm=0.15 m Charge: q1=3×10-6C;…

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

A: The electric field in the given region is, Vx,y,z=3x2y+5xy2+9xyz

Q: 2. Electric potential of a region in a xy plane is given by V = -Ax²y² where A = 0.5 V /m*. a. Find…

A: Electric field at a point is negative gradient of potential

Q: Twelve electrons are equally spaced and fixed around a circle of radius 0.5 cm. Relative to V = 0…

A: Given The number of electrons: n=12 The radius of the circle: r=0.005 m The charge of an…

Q: A spherical conductor has a radius of 12 cm and a charge of 6 uC. The electric potential (in kV) at…

Q: 4.0cm Q. 2: Point charges q1=+8.0µC, q2=-2.0µC and q3= +3.0µC are placed at the vertices of a right-…

Q: For a spherical surface with radius 0.12 m and is charged by 20 nC, the electric Potential V at r =…

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

Q: Two spherical shells have a common center. The inner shell has radius R1 = 5.00 cm and charge q1 =…

A: Given data: The charge on R1=5 cm shell is q1=+3.00x10-6 C. The charge on R2=15 cm shell is…

Q: 0.5 Over a certain region of space, the electric potential is given by V = 5Ax – 3Bx²y+ 2Cyz2 %3D -…

A: Given that:- V=5Ax-3Bx2y+2Cyz2 Since, it is known that Electric field(E) is the negative…

Q: What is the potential difference between two parallel conducting plates separated by 1.0 cm and…

A: Electric field between two parallel plates E = VdPotential difference V = Ed

Q: 5. Compute for the electric potential energy of electrons, q1 = 1.82 x 10-7 C and q2 = 2.56 x 10-10…

A: Given Charges q1 = 1.82 × 10-7 C q2 = 2.56 × 10-10 C Distance r = 4.38 nm = 4.38 × 10-9 m

Q: B В A 60 cm 30 cm !! 26 cm 26 сm Q1 =-50 µC Q2 = +50 µC 40 cm

A: Given : Q1 = -50μC = -50 * 10-6 C Q2 = 50μC = 50 * 10-6 C Distance between A and Q1 = 60 cm = 0.6 m…

Q: Two spherical shells have a common center. The inner shell has radius R1 - 5.00 cm and charge q1 -…

A: R1=Inner shell radius=5 cmR2=Outer shell radius=15 cmq1=Charge in inner shell=3×10−6 Cq2=Charge in…

Q: For a spherical surface with radius 0.16 m and is charged by 46 nC, the electric Potential V at r =…

A: Radius (R)= 0.16 m Charge (Q)= 46 nC We have to find the electric potential at r= 0.38 m So r> R…

Q: Suppose a charge distribution generates the elec- tric potential V(r) = x is the work done by the…

A: The gradient of the given potential be calculated as,…

Q: Over a certain region of space, the electric potential (in volts) is given by V=5x - 3x-y + 2yz2,…

A: Electric field

Q: 2. Find the electric field at point (1, 2, -1) associated with an electric potential V = xy²z² –…

A: Given data *The given point is, (1, 2, -1) *The electric potential is, V =xy2z2 - 4x2z + 5yz3

Q: For a spherical surface with radius 0.33 m and is charged by 26 nC, the electric Potential V at r =…

A: Given data: Radius of spherical surface is, R=0.33 m. Magnitude of charge is, q=26 nC=26×10-9 C.

Q: Find the components of the electric field at the point (x, y, z) = (3,4,5) of space if the electric…

Q: Determine the electric field due to the following potentials: (a) V = x² + 2y² + 4z² (b) V=sin(x² +…

Q: In a certain region, the electric potential due to a Charge distripution is given by the V(aiy,2)=…

Q: For a spherical surface with radius 0.13 m and is charged by 49 nC, the electric Potential V at r =…

Q: The expression of the electric potential is given to be: V(x, y, z) = 14xy – 8x + 6z 1. What is the…

Q: Three concentric spherical conductive shells of radii 5 cm, 10 cm, and 15 cm are charged with 7 μC,…

A: Consider the diagram of the concentric spherical shells.

Q: For a spherical surface with radius 0.18 m and is charged by 23 nC, the electric Potential V at r =…

A: Given: The radius of the spherical surface is 0.18 m. The charge on the surface is 23 nC. The…

Q: Point charges ?1= 5×10−3 C and Q2= − 3×10−3 are 50 cm apart. At what distances from ?2 Is the…

Q: Given that the electric potential ( in units of volts) in a region in space is given as V(x) = 10.1x…

Q: The potential in a region of space due to a charge distribution is given by the expression V = axz +…

A: Electric field is a physical field which is produced by charged objects. It is a measure of force on…

Q: The electric potential on a surface is given: V = ey where L is a constant with dimensions of…

Q: 1. If the electric potential in space is given by the function V(x, y) = [0.5x³3 – 4y²] Volts, what…

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

Q: Three charges 91, 92 and 93 are placed at the corner of an equilateral triangle where each side has…

Q: Over a certain region of space, the electric potential is V = 5x - 3x²y + 2yz?, the y component of…

A: Given data: Electric potential. V=5x-3x2y+2yz2

Q: The figure below shows three circular, nonconducting arcs of radius R = 8.90 cm. The charges on the…

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

Q: or a spherical surface with radius 0.36 m and is charged by 26 nC, the electric Potential V at r =…

A: Given- Radius of surface (r) = 0.17 m Charge on surface (Q) = 26 nC = 26 x 10-9 C

Q: 2.2: The electric potential V in the space between two flat parallel plates 1 and 2 is given (in…

Q: Two similar charges of 250 statC are situated on small spheres 15 cm apart. What is the electric…

A: The electric field is given by E =k qr2 The potential is given by V = k qr where, q is the charge…

Q: Two point charges have a total electric potential energy of -24 J, and are separated by 29 cm. If…

Q: Four particles are positioned on the rim of a circle. The charges on the particles are +0.5 µC,…

Q: A solid conducting sphere of radius R = 1.351 m is charged, and the magnitude of the electric…

Q: A solid conducting sphere of radius R = 5 cm has a charge of 0.25 nC distributed uniformly over its…

Q: pint charge q1 = 15 × 10-°C and q2 -e 10cm apart. nd the net electric potential at points A and

A: Given values:- Charge,(q1)=15 x 10-9 C -----(1) Charge,(q2)=-18 x 10-9 C -----(2) Distance…

Q: The electric potential at points in an xy plane is given by V = (2.0 V /m²)x² – (3.0 V/m²)y². 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

What is the magnitude of the electric field at the point (3, 2) m if the electric potential is given by V=2x+5xy+3y² volts. What
acceleration does an electron experience in the x- direction? (29.54N/C, 2.11×101² m/s² )
antinn 2d are nonitie

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

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.
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 point charge of q=50108 C is placed at the center of an uncharged spherical conducting shell of inner radius 6.0 cm and outer radius 9.0 cm. Find the electric potential at (a) r = 4,0cm, (b) r = 8.0 cm, (c) r — 12.0 cm.
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?
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?
A CD disk of radius (R = 3.0 cm) is sprayed with a charged paint so that the charge varies continually with radial distance r from the center in the following manner =(6.0C/m)r/R ?. Find the potential at a point 4 cm above the center.
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 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?
Given two particles with 2.00-C charges as shown in Figure P20.9 and a particle with charge q = 1.28 1018 C at the origin, (a) what is the net force exerted by the two 2.00-C charges on the test charge q? (b) What is the electric field at the origin due to the two 2.00-C particles? (c) What is the electric potential at the origin due to the two 2.00-C particles? Figure P20.9
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
When a potential difference of 150. V is applied to the plates of an air-filled parallel-plate capacitor, the plates carry a surface charge density of 3.00 1010 C/cm2. What is the spacing between the plates?
When a potential difference of 150. V is applied to the plates of an air-filled parallel-plate capacitor, the plates carry a surface charge density of 3.00 1010 C/cm2. What is the spacing between the plates?