Answered: (b) The torque exerted by the field on…

(b) The torque exerted by the field on the dipole is given by the following cross product. t = p x ] × [( î × x 103 N/C î+ 7.5 i) x 10-12 c. m 7.8 î + -4.9 -7 -89.25 X x 10-8 N ·m

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter24: Electric Fields

Section24.4: Electric Field Of A Collection Of Charged Particles

Problem 24.5CE: A water molecule is made up of two hydrogen atoms and one oxygen atom, with a total of 10 electrons...

See similar textbooks

Related questions

Q: A 21 x 10-6 C point charge is held at rest within a uniform electric field of 865.8 N/C directed in…

A: Given data: Charge, q=21×10-6 C Electric field, E=865.8 N/C Distance moved by the charge, x=0.63 m…

Q: The following figure shows two conducting spheres that have been charged and whose centers are…

A: The given data are listed below with appropriate variables. Here, qA denotes the charge on sphere…

Q: The electric force between an electron and a proton which are about 1 x10 6 m apart from each other…

Q: The electric force acting on an electron placed in an upward electric field of magnitude 3x10 N/C is…

A: Given: The strength of the electric field is 3x106 N/C. The charge on electron is -1.6x10-19 C.

Q: An infinite line of positive charge lies along the y axis, with charge density λ = 1.90 μC/m. A…

Q: A rigid insulated rod, with two unequal charges attached to its ends, is placed in a uniform…

Q: An electric dipole consists of charges +2e and −2e separated by 0.79 nm. It is in an electric field…

Q: The magnitude of the force exerted by a 5.00-V/m field on a particle with charge of –1.90 µC…

A: Given , Electric field = 5.00 V/m Charge on particle (q) = -1.90µC

Q: electric dipole moment of a water molecule (H2O) is 6.13×10−30 C⋅m. You place a water molecule in a…

A: Given Dipole moment p = 6.13 × 10-30 Cm Electric field E= 3 × 105 N/C Angle= 500

Q: Calculate the angular velocity ω of an electron orbiting a proton in the hydrogen atom, given the…

A: The expression for coulomb’s force of attraction is,

Q: One way the gravitational force and electric force differ is that gravitational force is always…

A: The difference between gravitational and electric force is that gravitational force is always…

Q: How much electric force (in N) exist between two electron separated by a distance of 5.0 x 10-15 m?…

A: Given Data:--The distance is r=5*10-15m-The charge on e- is q=1.6*10-19C

Q: An electric dipole is placed at the origin and is directed along the x-axis. At a point P, far away…

Q: The figure shows an electric dipole. What is the magnitude of the dipole's electric field at point…

A: The electric fields due to the positive and negative charges (Coulomb’s law): E=14πε0qdr2+d2232…

Q: A small sphere with a charge of +2.44 mC is attached to a relaxedhorizontal spring whose force…

A: Write the given data with suitable variables.

Q: A particle of charge Q is fixed at the origin of an xy coordinatesystem. At t = 0 a particle (m =…

Q: Solve for the magnitude and direct of the force on a proton given the following particulars: q = 1.6…

Q: A small, rigid object carries positive and negative 5.00 nC charges. It is oriented so that the…

Q: An elctric dipole with dipole moment p = 29i + 36j+37k is placed in an electric fieldE = 2i + 13 +…

Q: A doubly charged (so twice the charge of a proton) helium atom whose mass is 6.6 x 10- 27 kg is…

A: charge (q) = +2 e mass (m) = 6.6×10-27 kg initial velocity (u) = 0 m/s Potential difference (∆V) =…

Q: If -41 = 2 = 87 nC then, Find the Electric dipole moment. x component of the dipole moment Give your…

Q: A "thin" uniform non-conducting rod of length L = 54.8 cm carries charge Q = 527 µC distributed…

Q: An elctric dipole with dipole moment p =19i^+32j^+23k^ is placed in an electric field E'=8i+3j+9k .…

A: Given: The dipole moment is 19i^+32j^+23k^. The electric field is 8i^+3j^+9k^.

Q: Calculate the magnitude of the force exerted on the charge by the field B = -3ax + 4ay+ 6a₂ T if the…

A: In the given question, Charge of particle = Q = 18nC = 18×10-9C Magnetic field = B→ = -3ax + 4ay…

Q: A point dipole with an electric moment p is placed at a distance I from an infinite onducting plane.…

A: Consider a point dipole(p) placed at a distance, r= l m from conducting plate.

Q: An elctric dipole with dipole moment p= 29i + 36 j+37k is placed in an electric field E = 2i +1j+4k.…

A: Given p= 29i+ 36j+ 37k E = 2i+ 1j +4k

Q: - Two opposite and equal charges 4 x 10-8 C when placed 2 x 10 cm away, form a dipole. If this…

Q: Instructions: Fill in the table with the correct direction of the vector quantity Torque (7) +x-axis…

A: Required :: Direction of the vector quantity.

Q: A line of positive charge is formed into a semicircle of radius R = 75.0 cm, as shown in the figure…

Q: Suppose the conducting spherical shall in the figure below carries a charge of 3.60 nC and that a…

A: a. Consider a Gaussian surface with radius less than a, then the electric field at r=1.5m can be…

Q: torque acting on the dipole

Q: An electric dipole consistS or chargeen the dipole and the +8e charge?. is the magnitude of the…

A: Given data The magnitude of the first electric dipole is q1 = +13e = +13 x 1.602 x 10-19 C The…

Q: 93 = -1.75 nC 4.00 ст 91 = 1.50 nC 92 = -1.50 nC 5.00 ст 12.0 ст If P has a test charge Q = 2.00 nC,…

Q: Three point charges are located at the following positions: Q1 = 2.00 µC at x = 1.00 m; Q2 = 3.00 µC…

Q: An infinite line of positive charge lies along the y axis, with charge density = 1.30 μC/m. A dipole…

Q: 18- An electric dipole with charges q= ±1.602x10*² iC and the distance between them d = 0.24 nm is…

A: Given: The charge on electric dipole is 1.602×10-19 C. The distance between the two…

Q: An electric dipole consists of charges +15e and -15e separated by a distance d = 0.863 nm. It is in…

A: The torque acting on a dipole is calculated by using the formula τ=pEsinθ=qdEsinθ , where p=qd is…

Q: A 28 x 10-6 C point charge is held at rest within a uniform electric field of 840.0 N/C directed in…

A: The electric force on a charge q in a constant electric field E, is F = qE

Q: Find the torque acting on a dipole of dipole moment 10^(-4) C/m placed inside a uniform electric…

A: Two equal and opposite charges separated by a distance, d is known as an electric dipole. The dipole…

Q: An infinite line of positive charge lies along the y axis, with charge density A = 1.10 µC/m. A…

Q: The drawing shows two situations in which charges are placed on the x and y axes. They are all…

A: We have E=kqd2

Q: A small, rigid object carries positive and negative 2.00 nC charges. It is oriented so that the…

Q: In a lossless medium with ɛ, = 81 and µr = 3, three point charges are located in the x – y plane as…

A: Given : Q1=4×10-6C Q2=4×10-6C Q3=20×10-3C P1=(-2,0,0) m…

Q: A dipole of Q+ 10µC and Q- -10µC located at (0,0,8) and (0,0,-8) respectively. Find the dipole…

A: Given dipole is along the z axis , where positive charge 10μC is at (0,0,8) and negative charge…

Q: A dipole of moment 0.50 e - nm is placed in a uniform electric field with a magnitude of 1.8 x 105…

Q: A sphere of radius 10 cm coated with copper carries a total charge of 20 nC uniformly distributed on…

A: Gauss's law states that the total of the electric flux out of a closed surface is equal to the…

Q: A dipole with –Q at the origin (0,0) and the +Q at coordinates x= 4.00 cm, y = 3.00 cm is in an…

Q: An electric dipole in a uniform horizontal electric field of magnitude 2.5 x 105 N/C is currently at…

A: Because there are no losses and dipole starts with an angle θ on one side, it will move to an angle…

Q: What is the magnitude of the total field at the point x = 0, z = 1.00 m in the xz-plane? What is…

A: SOlution: given that B0 = 1.5x10-6 T I = 8 A

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

(b) The torque exerted by the field on the dipole is given by the following cross product.
t = p x
] × [(
î ×
x 103 N/C
î+ 7.5
i) x 10-12 c. m
7.8
î + -4.9
-7
-89.25
X x 10-8 N ·m

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

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

Solve e. Use this if necessary: The dipole moment of the given system is-- x component= 18.3*10^-16 C.m y component= -122.61*10^-16 C.m
A dipole with charge 6.0 × 10−6 C and separation of 4.0 × 10−3 m is immersed in an E field of 3.0 × 106 N/C. Calculate the maximum torque.
Water molecule is modeled as a dipole with an effective separation, d = 3.9×10-12 m between its positive and negative charges. The water molecule’s dipole moment is p = 6.2×10-30 C∙m. Consider water molecules in the lower atmosphere where the electric field has a magnitude of about 325 N/C. Assume the field is uniform. (a) What is the maximum torque exerted on a water molecule? (b) Find the change in potential energy if a water molecule rotates from j = 170o to j = 180o?
What is the force on a dipole of dipole moment p placed as shown in the Fig. +9 a Fig. P -- +9
A water molecule consists of two hydrogen atoms bonded with one oxygen atom. The bond angle between the two hydrogen atoms is 104° (see below). Calculate the net dipole moment (in C · m) of a water molecule that is placed in a uniform, horizontal electric field of magnitude 5.4 ✕ 10−8 N/C. (Only calculate the permanent dipole moment based on charge distributions shown in the figure, and exclude any induced dipole moment. The O–H bond length in water is 0.958 angstroms. Express your answer in vector form. Assume that the +x-axis is to the right and the +y-axis is up along the page.) p = _____ C · m
An electric dipole with a dipole moment of magnitude p is placed at various orientations in an electric field E→ that is directed to the left. What orientation of the dipole will result in maximum torque directed into the page? p⃗ p→ is directed into the page. p⃗ p→ is directed upward. p⃗ p→ is directed to the left. p⃗ p→ is directed to the right. p⃗ p→ is directed out of the page. p⃗ p→ is directed downward. For the orientation from part A, what is the electric potential energy? Express your answer in terms of some or all of the variables p and E. What orientation of the dipole will give zero torque and maximum electric potential energy? p⃗ p→ is directed into the page. p⃗ p→ is directed to the left. p⃗ p→ is directed upward. p⃗ p→ is directed downward. p⃗ p→ is directed to the right. p⃗ p→ is directed out of the page. For the orientation from part C, what type of equilibrium is this? stable unstable neutral
A disk with uniform surface charge density = -8.60 μC/m² is oriented as shown in the diagram below. The field at a o y - 2/0 (¹ - √√√² + ²), 1- distance y from the center of a disk (of radius r = 0.420 m) and along its axis is given by E = - where & = 8.85 x 10-12 c²/(N m²) is the permittivity of free space. What is the electric potential at a location P whose coordinates are (0, 0.115 m)? Take the electric potential at infinity to be zero. V y P (0, y) x
Calculate the magnitude and direction of the dipole moment of the following arrangement of charges in the xy-plane: 3e at (0, 0), −e at (0.32 nm, 0), and −2e at an angle of 20° from the x-axis and a distance of 0.23 nm from the origin.
An electric dipole has a dipole moment of 5.76x10- Cm. The dipole moment vector is initially oriented at 0 =26.11° to the +x-axis. How much work will be done by an electric field 7.2 MN (-i) to bring the dipole to its stable equilibrium position (in n.?
(a) Derive an expression for the electric field E due to a dipole of length ‘2a’ at a point distant r from the centre of the dipole on the axial line. (b) Draw a graph of E versus r for r >> a. (c) If this dipole were kept in a uniform external electric field diagrammatically represent the position of the dipole in stable and unstable equilibrium and write the expressions for the torque acting on the dipole in both the cases.
The water molecule's dipole moment is 6.17×10-30C⋅m. What would be the separation distance if the molecule consisted of charges ±e? (The effective charge is actually less because H and O atoms share the electrons.) Express answer with appropriate units.
a dipole having a dipole moment of p = Qa coul/m makes an angle 60° with the direction of a uniform electric field E,(a) calculate the torque on the dipole