The electric field in a particular region of space is everywhere parallel to the z axis. A box (L = w = h = 2.0 m) is in this region as shown in the figure below, and has a net charge qnet enclosed within it. On the front face of the box, the electric field points in the - direction and has a magnitude E₁ = 30 N/C. On the back face of the box, the electric field points in the +z direction and has a magnitude E₂ = 21 N/C. What is the value (magnitude and sign) of anet?

The electric field in a particular region of space is everywhere parallel to the z axis. A box (L = w = h = 2.0 m) is in this region as shown in the figure below, and has a net charge qnet enclosed within it. On the front face of the box, the electric field points in the - direction and has a magnitude E₁ = 30 N/C. On the back face of the box, the electric field points in the +z direction and has a magnitude E₂ = 21 N/C. What is the value (magnitude and sign) of anet?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: At what distance along the central axis of a uniformly charged plastic disk of radius R = 0.314 m is…

A: The electric field magnitude (E0) at the disk’s center and that (E1) at a point on the axis at a…

Q: In the figure a nonconducting rod of length L = 8.20 cm has charge -q = -4.24 fC uniformly…

Q: A uniform circular ring has charge Q and radius r. A uniformly charged disk also has charge Q and…

A: The electric field due to the ring is now for the ring at a distance of Z= r and Radius R = r,Then…

Q: In the figure a nonconducting rod of length L = 8.19 cm has charge -q = - 4.53 fC uniformly…

Q: An infinitely long cylinder with a radius of 1.0 cm has a charge density that is proportional to the…

Q: For the configuration shown in the figure below, suppose a = 5.00 cm, b = 20.0 cm, and c = 25.0 cm.…

Q: In the figure a nonconducting rod of length L = 8.31 cm has charge -q = -4.50 fC uniformly…

A: Given:- The length of the nonconducting rod of length L = 8.31 cm. The charge on the rod uniformly…

Q: There is a +5C charge at the center of a hollow sphere made of a perfect conductor. The hollow…

A: The objective of the question is to calculate the electric field as a function of distance from the…

Q: In the figure a nonconducting rod of length L = 8.28 cm has charge -q = - 4.41 fCuniformly…

Q: a nonconducting rod of length L = 8.23 cm has charge -q = -4.46 fC uniformly distributed along its…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts (a, b,…

Q: In the figure a nonconducting rod of length L = 8.20 cm has charge -q = -4.23 fC uniformly…

Q: As shown in the figure below, you have a hollow spherical shell of radius R with a total charge…

A: (a)According to Gauss of electrostatics:∯E→.dA→=Qenclosedε0For any r < R∯E→.dA→=2Qε0≡E4πr2=2Qε0…

Q: A 2.00 g charged insulating ball hangs on a 30.0 cm long string in a uniform horizontal electric…

A: Force on charge particles in electric field F = qE

Q: In the figure a thin glass rod forms a semicircle of radius r = 3.92 cm. Charge is uniformly…

A: Given The radius, R=3.92 cm= 0.0392 m The charge in upper half is +Q=3.47 pC The charge in lower…

Q: There is a +5C charge at the center of a hollow sphere made of a perfect conductor. The hollow…

A: The objective of the question is to calculate the electric field as a function of distance from the…

Q: The figure shows a plastic ring of radius R = 50.4 cm. Two small charged beads are on the ring: Bead…

A: The radius of the ring: The charge of Bead 1: The charge of Bead 2: The magnitude of the net…

Q: The figure below shows a plastic rod of length L with a total charge Q evenly distributed over the…

Q: An infinite plane of charge with surface charge density 3.2 μC/m^2 has a 20-cm-diameter circular…

A: Charge density = 3.2×10^2 C/m². Diameter of hole "d"= 20cm Implies radius "r"= 10 cm = 0.1m . now…

Q: The figure below shows a plastic rod of length L with a total charge Q evenly distributed over the…

Q: A long, thin rod parallel to the y-axis is located at x = -3.0 cm and carries a uniform linear…

Q: n the figure a sphere, of radius a = 14.2 cm and charge q = 1.00×10-5 C uniformly distributed…

A: As per guidelines we are supposed to answer only the first three subparts of the multipart question.…

Q: In the figure a nonconducting rod of length L = 8.17 cm has charge -q = -4.56 fC uniformly…

Q: A disk of radius 2.5 cm has a surface charge density of 5.3 mC/m2 on its upper face.What is the…

A: The radius of a disk,

Q: A device used to detect ionizing radiation consists of a thin positively charged wire surrounded by…

A: Given:- The length of the cylinder and wire is L =16 cm The radius r = 1.4 cm. The electric field at…

Q: In the figure a nonconducting rod of length L = 8.19 cm has charge -q = -4.35 fC uniformly…

A: Length of rod L = 8.19 cmCharge q = - 4.35fCWe need to determine electric field and linear charge…

Q: A conductive sphere with a cavity has an outer radius of 0.30 m, an inner radius of 0.25 m, and a…

A: Inner radius, ri = 0.25 m Outer radius, ro = 0.30 m Surface charge density, σ=5.80 μC/m2 Charge…

Q: A non-uniform thin rod is bent into an arc of radius R. The linear charge density λ of the rod…

A: Given, λ=λ0cosθ

Q: In the figure below, two curved plastic rods, one of charge +q = 25.0 pC and the other of charge −q,…

A: Calculating electic field at point P due to upper positive charge:Let's assume two small elements of…

Q: In the figure a nonconducting rod of length L = 8.42 cm has charge -q = -4.23 fC uniformly…

A: (a) The linear charge density of the rod will be:

Q: In the figure a nonconducting rod of length L = 8.40 cm has charge -q = -4.41 fC uniformly…

A: Given that, The uniformly distributed charge on the non-conducting rod is q=-4.41fC=-4.41×10-15C The…

Q: A disk of radius 3.3 cm has a surface charge density of 5.1 µC/m2 on its upper face. What is the…

A: The electric field due to a charge disc at a point on its central axis is E=kσ2π1-zz2+R2 Substitute…

Q: n the figure a nonconducting rod of length L = 8.26 cm has charge -q = -4.55 fC uniformly…

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 electric field in a particular region of space is everywhere parallel to the z axis. A box (L = w = h = 2.0 m) is in this region as shown in the figure below, and has a net charge anet enclosed within it. On the front face of the box, the electric field points in the -z
direction and has a magnitude E₁ = 30 N/C. On the back face of the box, the electric field points in the +z direction and has a magnitude E₂ = 21 N/C. What is the value (magnitude and sign) of 9net?
-1.806*10**-9 X
What is the flux through each face of the box? How is the total flux through the box related to the net charge enclosed inside the box? nC
Z
L
L
L

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: The electric field magnitudes,

VIEW

Step 2: Calculation of the net charge inside the cube

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 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

A thin rod carries linear charge density according to the distribution X(z) = Aox/L, where Xo = 29.7 nC/cm and L is the length of the rod. The rod extends from x = 0 cm tc I=28 cm. What is the magnitude of the electric field at a location = 6.0 cm? (please provide your answer in kN/C to 1 decimal place) Type your answer.....
A very thin rod made of an insulating material has a linear charge density of 41.0 nC/m. It lies along the line y=-15.0 cm, with one endpoint at x = 0 and the other at x = 40.0 cm. What is the electric field at the origin due to this rod? (Enter the magnitude in N/C and the direction in degrees counterclockwise from the +x-axis.) magnitude direction N/C counterclockwise from the +x-axis
In the figure a nonconducting rod of length L = 8.42 cm has charge -q = -4.46 fC uniformly distributed along its length. (a) What is the linear charge density of the rod? What are the (b) magnitude and (c) direction (positive angle relative to the positive direction of the x axis) of the electric field produced at point P, at distance a = 15.4 cm from the rod? What is the electric field magnitude produced at distance a = 51 m by (d) the rod and (e) a particle of charge -q = -4.46 fC that replaces the rod?
Problem 14: Consider the semiarc of charge shown in the figure, that has an opening angle of θ0 = 35° and a charge density of λ = -23 μC/m. We are going to find the electric field at the point P, which is a constant distance R = 1.45 m from the semiarc. Use the coordinate system specified in the figure. Part (b) What is the x-component of the electric field at point P, in newtons per coulomb?
A solid rod 2.54 cm in diameter and 1.50 m long carries a uniform volume charge density. The electric field inside the rod, halfway between its axis and its surface but not near either end, has magnitude 681 kN/C and points radially outward. a. Find the rod’s total charge. b. Find the electric field at the surface of the rod.
A circular ring of radius 27 cm and total charge 600 μC is centered at the origin as shown in the figure below. If the charge is distributed uniformly around the ring, what is the electric field at the origin? (Enter the magnitude of the electric field.) N/C y B x
A charged rod of total length 5.8 m lies centered on the x axis as shown (the L indicated in the picture is half of that number, meaning that L = 2.9 m). The rod has a charge density which varies according to λ=ax2 where a=−20.2 μC/m3. a) What is the total charge on the rod? b) What is the x component of the electric field at a point on the x axis a distance of D=4.2 m from the end of the rod? Use a negative sign for a field pointing in the -x direction.
A uniform line of charge has length L=36 cm and total charge Q=2.0 μC. What is the electric field a distance of d=50 cm above the midpoint of the line of charge?
A ring-shaped conductor with radius a = 2.30 cm has a total positive charge Q = 0.121 nC uniformly distributed around it. (electric field at point p which is in positive x-axis x= 35.0 cm) a) figure out the electric field very far away. Is it consistent with the coulombs law? b) figure out the electric field at the center of ring?
In the figure below, positive charge q = 7.47 pC is spread uniformly along a thin nonconducting rod of length L = 13.0 cm. (a) What is the magnitude of the electric field produced at point P, at distance R = 6.00 cm from the rod along its perpendicular bisector? __________N/C(b) What is the direction of the field at point P?____________ ° counterclockwise from the +x-axis (please include units so that I can follow your steps easier)
A uniformly charged insulating rod of length 18.0 cm is bent into the shape of a semicircle as shown in the figure below. The rod has a total charge of −7.50 µC. A rectangular rod is bent into the shape of the left half of a circle centered about a point O. (a) Find the magnitude of the electric field (in N/C) at O, the center of the semicircle. N/C (b) Find the direction of the electric field at O, the center of the semicircle. to the leftto the right upwarddownwardinto the pageout of the page (c) What if? What would be the magnitude of the electric field (in N/C) at O if the top half of the semicircle carried a total charge of −7.50 µC and the bottom half, insulated from the top half, carried a total charge of +7.50 µC? N/C (d) What would be the direction of the electric field at O if the top half of the semicircle carried a total charge of −7.50 µC and the bottom half, insulated from the top half, carried a total charge of +7.50 µC? to the leftto the right…
In the figure a sphere, of radius a = 13.2 cm and charge q = 6.00×10-6 C uniformly distributed throughout its volume, is concentric with a spherical conducting shell of inner radius b = 37.0 cm and outer radius c = 39.0 cm . This shell has a net charge of -q. Find expressions for the electric field, as a function of the radius r, within the sphere and the shell (r< a). Evaluate for r=6.6 cm. Find expressions for the electric field as a function of the radius r, between the sphere and the shell (a< r <b). Evaluate for r=25.1 cm. Find expressions for the electric field as a function of the radius r, inside the shell (b< r <c). Evaluate for r=38.0 cm