The x=2 and y=-3 planes have surface charge densities of o₁ = 10 nC/m² and 0₂ = 15 nC/m² respectively. If the line x=0, z=2 has a linear charge density of 02 λ = 10π nС/m. Find the magnitude of the resultant electric field at the point P(1,1,-1)

The x=2 and y=-3 planes have surface charge densities of o₁ = 10 nC/m² and 0₂ = 15 nC/m² respectively. If the line x=0, z=2 has a linear charge density of 02 λ = 10π nС/m. Find the magnitude of the resultant electric field at the point P(1,1,-1)

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter25: Gauss’s Law

Section: Chapter Questions

Problem 43PQ: The nonuniform charge density of a solid insulating sphere of radius R is given by = cr2 (r R),...

See similar textbooks

Related questions

Q: An object is placed 9.5 cm in front of a thin lens. convergent (biconvex) focal length 24 cm. In…

A: Object distance (d) = 9.5 cm Focal length (f) = 24 cm Image distance (i) -16 cm The image distance…

Q: What is the stopping potential of an electron that has 7.30 × 10-19 J of kinetic energy in a…

A: Write the expression for the work done. W=qV Here, q is the charge of an electron and V is the…

Q: Consider a concave mirror and an object in front of it. Which of the following statements must be…

Q: What wavelength ( in nanometers ) is the peak intensity of the light coming from a star whose…

A: Surface temperature is T = 4987 K

Q: The vector was 20 meters at 36.87° east of south. What is the angle this vector makes with the +…

Q: Find B at a distance R from a long straight wire Y R dB ds = dx î 0 →dxk I X

A: Page 1

Q: Two objects charged with an equal amount of charge interact with each other with a force of 4.37…

Q: If the skater has the same speed of rotation during the following spin positions, what is the…

A: The formula for the angular momentum is given by, L=Iω ...(1) Where, L is the angular momentum, I is…

Q: A soccer ball is placed at the edge of a 10 m tall cliff. At t=0s, George kicks the ball…

A: The ball is placed on the edge of a cliff, which has a height of 10 m At t=0 s, the ball is kicked…

Q: Question 1: A particle of mass m is attached to a horizontal spring with constant k and submerged in…

A: The system is influenced by the external force, F⇀ = F0 sin (ωt +Φ)ι^

Q: What is the length, in meters, of a simple pendulum, on Earth, if it has a period of 1.91 s?

Q: How much gravitational potential energy (in J) (relative to the ground on which it is built) is…

A: Mass, m = 7×109 kg Height, h = 32 m Daily food intake energy, e = 1.2×107 J

Q: A 83.8-kg boy and a 59.4-kg girl, both wearing skates face each other at rest on a skating rink. The…

Q: How much resistance does a heavy-duty flashlight have if it has a current of 15 mA flowing through…

A: The current through flashligth is 15 mA. The voltage across each cell is 9 V.

Q: Two cylinders each contain 0.30 mol of a diatomic gas at 280K and a pressure of 3.0 atm.…

Q: Determine the phasor that best represents the current Io in the circuit shown in the figure. Make…

A: The resistors 40 ohms and j40 ohms are connected in series. Rs=40 Ω+j40 Ω The above mentioned…

Q: The water hose at your home outputs 24 gallons of water a minute. How many cubic meters per hour…

Q: The magnitude of a force vector is 86.0 newtons (N). The x component of this vector is directed…

Q: Q33. For a thin lens situation, you have determined that the object distance is +30 cm and the image…

Q: B. Find the currents in the circuit using Kirchhoff's Laws.. 12V 4Ω www CL 4 8V 252 www 6Ω 13 114₂ b…

A: there are following two laws of Kirchhoff which will be applied in following question Kirchhoff's…

Q: 20. The 57.2cm diameter disk rotates counterclockwise on an axle through its center. F1=42.6N,…

Q: The series circuit at the right depicts two resistors connected to a voltage source. The voltage…

Q: Two large-area parallel metal plates are separated in air by 0.10 mm. If a 1.0 kV potential…

Q: A concrete block is hung from an ideal spring that has a force constant of 200 N/m. The spring…

Q: Explain how a magnet can pick up an object even though the magnetic field cannot do work on the…

A: Work is defined as the transfer of energy that occurs when a force is applied to move an object over…

Q: The strengths of the fields in the velocity selector of a Bainbridge mass spectrometer are B=0.5T…

A: In the mass spectrometer, the electric force equals the magnetic force. Further, substitute the…

Q: The equation r(t) = ( sin t) i + ( cost)j + (t) k is the position of a particle in space at time t.…

A: The velocity of a particle is the rate of change of displacement with respect to time. That is,…

Q: Find the current in each of the resistors using Kirchhoff's Laws R₁ = 3.00 a R2 = 3.00 Ω V₁ = 24.00…

Q: Write down the interference condition for a thin film shown in the figure. It should be noted here…

A: 1. For interference between two coherent rays there should be a path difference between them. Here,…

Q: Part A Find T₁, the tension in string A Express your answer in newtons using four significant…

Q: Two metal cubes with side length 10cm are re-forged into one cuboid which is 20cm long and 5cm high.…

A: Two metal cubes with side length (Lo )=10cm are re-forged into cuboid whose length is L=20cm and…

Q: bottled water plant fills bottles using a nozzle straight down. water exits the nozzle at a flow…

Q: 1. A walrus transfers energy by conduction through its blubber at the rate of 165 W when immersed in…

Q: Which one of the following regions of the electromagnetic spectrum consists of waves with the lowest…

Q: Two equal coins are sent off a tabletop at the same time. Coin A is dropped vertically and coin B is…

Q: A 22-cm-diameter cylinder that is 45 cm long contains 46 g of oxygen gas at 20°C. You may want to…

A: Diameter of the cylinder D=22 cm Length of the cylinder l=45 cm Mass of the oxygen (m)=46 g…

Q: What is the average power dissipated by the resistor in the follow circuit? Assume units of watts…

Q: Use trigonometry to find the x and y components of G. Always check that the signs of the components…

A: Given:F→ = 14 m, 30o west of southG→ = 20 m, 36.87o east of south.Asked:d) Using trignometry find x…

Q: Q11. To measure the current through a resistor, you need to connect the ammeter A. in parallel with…

Q: (a) Calculate the angular velocity of the merry-go-round as a function of time. (b) What is the…

A: Angular Velocity:- The change in the angular position of the particle with time is called angular…

Q: In a region of space, a quantum particle with zero total energy has a wave function given below.…

A: Since the total energy of the system E=0 and let P.E=U Schroedinger equation:- -h22m∂2ψ∂x2+Uψ=…

Q: What is the mass, in kg, of an object on a vertical mass-spring system with a spring constant of…

A: Spring constant, k=40.71 N/m Time period, T=1.41 s

Q: A 3rd harmonic is being produced in a tube that is open at both ends. The tube is 3 meters long and…

A: See below

Q: have to calculate the moment at point B, do I have to include the number, 150N•m in the equation or…

Q: gth What are the position, type, and the height of the image? (15pts) Illustrate your conclusions…

A: h0 = 5 cm u= -20 cm f= -10 cm

Q: In a cylindrical wire of lenght way larger than its raduis a current flow with linear density J=kr.…

A: To determine the expression for the magnetic field (B) inside and outside the cylindrical wire with…

Q: In an L-R-C series circuit, the resistance is 400 ohms, the inductance is 0.320 henrys, and the…

A: given: resistance (R)=400 ohms inductance (L)=0.32 henrys capacitance (C)=1.8*10-2 microfarads…

Q: The series circuit at the right depicts two resistors connected to a voltage source. The voltage…

A: Two resistors connected in series and their values are as R1=25 Ω and R2=23 Ω Current flowing…

Q: A fox fleeing from a hunter encounters a 0.770 m tall fence and attempts to jump it. The fox jumps…

Q: Wires 1 and 2 carry currents of 2A and 3A, respectively in the directions indicated in Figure 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

The x=2 and y=-3 planes have surface charge densities of σ₁ = 10 nC/m² and
02
0₂ = 15 nC/m² respectively. If the line x=0, z=2 has a linear charge density of
λ = 10л nС/m. Find the magnitude of the resultant electric field at the point P(1,1,-1)

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: Given

VIEW

Step 2: Formula used

VIEW

Step 3: Electric field due to substract x=2

VIEW

Step 4: Electric field due to surface at y=-3

VIEW

Step 5: Electric field due to line charge at x=0, z=2

VIEW

Step 6: Total

VIEW

Solution

VIEW

Step by step

Solved in 7 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

The electric field 10.0 cm from the surface of a copper ball of radius 5.0 cm is directed toward the ball's center and has magnitude 4.0102 N/C. How much charge is on the surface of the ball?
A solid conducting sphere of radius 2.00 cm has a charge 8.00 μC. A conducting spherical shell of inner radius 4.00 cm and outer radius 5.00 cm is concentric with the solid sphere and has a total charge −4.00 μC. Find the electric field at (a) r = 1.00 cm, (b) r = 3.00 cm, (c) r = 4.50 cm, and (d) r = 7.00 cm from the center of this charge configuration.
A long, straight wire is surrounded by a hollow metal cylinder whose axis coincides with that of the wire. The wire has a charge per unit length of , and the cylinder has a net charge per unit length of 2. From this information, use Gausss law to find (a) the charge per unit length on the inner surface of the cylinder, (b) the charge per unit length on the outer surface of the cylinder, and (c) the electric field outside the cylinder a distance r from the axis.
Consider two thin disks, of negligible thickness, of radius R oriented perpendicular to the x axis such that the x axis runs through the center of each disk. The disk centered at x=0 has positive charge density η, and the disk centered at x=a has negative charge density −η, where the charge density is charge per unit area. What is the magnitude E of the electric field at the point on the x axis with x coordinate a/2? Express your answer in terms of η, R, a, and the permittivity of free space ϵ0.
In Figure 2, a sphere of radius r = 0.42 m carries a uniform volume charge density of rho = 2.3 × 10^-10 C/m^2. A spherical cavity of radius 0.21 m is then cut out and left empty as shown in the figure. Points A and C are the centers of the sphere and the spherical cavity, respectively. Find the magnitude and direction of the electric field at point B.
A solid insulating sphere of radius 0.07 m carries a total charge of 25 µC. Concentric with this sphere is a conducting spherical shell of inner radius 0.12 m and outer radius of 0.18 m and carrying a total charge of -54 µC. Find (a) the charge distribution for the insulating sphere and the conducting spherical shell, and the magnitude of the electric field at the following distances from the center of the two spheres and shell: (b) 0.05 m, (c) 0.10 m, (d) 0.15 m, and (e) 0.25 m.
A spherical ball of charged particles has a uniform charge density. In terms of the ball’s radius R, at what radial distances (a) inside and (b) outside the ball is the magnitude of the ball’s electric field equal to of the maximum magnitude of that field?
In Figure 2, a sphere of radius r = 0.42 m carries a uniform volume charge density of rho = 2.3 × 10^-10 C/m^2. A spherical cavity of radius 0.21 m is then cut out and left empty as shown in the figure. Points A and C are the centers of the sphere and the spherical cavity, respectively. Find the magnitude and direction of the electric field at point A.
A disk of radius 2.5 cm has a surface charge density of 5.3 mC/m2 on its upper face.What is the magnitude of the electric field produced by the disk at a point on its central axis at distance z =12 cm from the disk?
A spherical Conductor of radius 0.330 m has a spherical cavity of radius 0.120m at its center. The conductor carries a total charge of -6.00 nC; in addition, at the center of the spherical cavity is a point charge of +4.00 nC. Find (a) the total charge on the surface of the cavity, (b) the total charge on the outer surface of the condutor, (c) the magnitude of the electric field just inside te surface of the cavity, and The answers were wrong on the previous attempts, the answers should be (a) +4.00 nC (b) -4.00 nC (c) 2.5*10^3 N/C I need to know how those answers are solved
A sphere of radius 2m is made of a non-conducting material that has a uniformvolume charge density ρ = 2.655 × 10−10C/m3. A spherical cavity of radius 1m isthen carved out from the sphere. As measured from the center of the large sphere,the center of the spherical cavity is at the position ~r = cos300ˆi + sin300ˆj.Find the electric field at a point P within the cavity. As measured from the centerof the cavity, the point P is at the position ~r′ = 0.5cos600ˆi + 0.5sin600ˆj.1
A spherical Conductor of radius 0.330 m has a spherical cavity of radius 0.120m at its center. The conductor carries a total charge of -6.00 nC; in addition, at the center of the spherical cavity is a point charge of +4.00 nC. Find (a) the total charge on the surface of the cavity, (b) the total charge on the outer surface of the condutor, (c) the magnitude of the electric field just inside te surface of the cavity, and (d) the magnitude of the electric field just outside the outer surface of the conductor.