Problem 2 Just need b and c Problem 2: A hollow cylinder, closed at both ends, is situated in an electric field given by24Ē(x) = Eo-()*++)(二)The cylinder, with length L and radius R, is centered at the origin with it's symmetry axis on the x axis.Refer to the figure.LRPart (a) Integrate to find an expression for the total electric flux through the cylinder in terms of defined quantities and enter the expression.=(E₁R² L³)/(16 x₁5) ✓ Correct!$ Part (b) For L = 5.29 m, R = 0.285 m, E₁ = 6.33 V/m, and xo+--377.54g=-377.5 V.mx Attempts Remain=1.00 m, find the value, in volt meters, of the electric flux through the cylinder.Part (c) If the electric field changes to,2E(x) = E 323(#)+423 +4154enter an expression for the total electric flux in terms of defined quantities.X

Step 1:The electric field is E(x)=Eo[(xox)5i^+7j^+22k^]Height of the cylinder is LRadius of the…

Answered: Problem 2: A hollow cylinder, closed at…

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 12PQ

See similar textbooks

Similar questions

An insulating solid sphere of radius a has a uniform volume charge density and carries a total positive charge Q. A spherical gaussian surface of radius r, which shares a common center with the insulating sphere, is inflated starting from r = 0. (a) Find an expression for the electric flux passing through the surface of the gaussian sphere as a function of r for r a. (b) Find an expression for the electric flux for r a. (c) Plot the flux versus r.
A uniformly charged conducting rod of length = 30.0 cm and charge per unit length = 3.00 105 C/m is placed horizontally at the origin (Fig. P24.37). What is the electric field at point A with coordinates (0, 0.400 m)?
A dosed surface with dimensions a = b= 0.400 111 and c = 0.600 in is located as shown in Figure 124.63. The left edge of the closed surface is located at position x = a. The electric field throughout the region is non- uniform and is given by E = (3.00 + 2.00x2)i N/C, where x is in meters. (a) Calculate the net electric flux leaving the closed surface. (b) What net charge enclosed by the surface?
A solid cylindrical conductor of radius a is surrounded by a concentric cylindrical shell of inner radius b. The solid cylinder and the shell carry charges +Q and Q , respectively. Assuming that the length L of both conductors is much greater than a or b, determine the electric field as a function of r, the distance from the common central axis of the cylinders, for (a) ra; (b) arb; and (c) rb.
A total charge Q is distributed uniformly on a metal ring of radius R. a. What is the magnitude of the electric field in the center of the ring at point O (Fig. P24.61)? b. What is the magnitude of the electric field at the point A lying on the axis of the ring a distance R from the center O (same length as the radius of the ring)? FIGURE P24.61
Figure 2 shows a nonconducting rod with a uniformly distributed charge Q. The rod forms a half-circle with radius R and produces an electric field of magnitude Earc at its center of curvature P. If the arc is collapsed to a point at distance R from P, by what factor is the magnitude of the electric field at P multiplied?
A positively charged cylinder has a uniform volume charge density. Height l is larger than its radius a (1»a). a P a. When Point P is very close to the surface of the cylinder (1>r>a), the electric field there can be derived by treating the cylinder as an = Eŝ. infinitely long one. Suppose that we already measure the electric field at P as charge density in terms of E and a (ŝ is the radial unit vector in the cylindrical coordinate system as defined in the Equation: now use the Gauss's law to find the volume cos o â + sin ø ŷ, - sin ø Âx + cos ø ŷ, î. b. Now we move the detector from Point P to Point Q, which is so far away from the cylinder (R>l>a), that the cylinder can be treated as a point. Based on result in Part (a), find out the electric field at Q (Note that OQ is in the x direction.)
Part A In terms of the total charge Q, estimate the electric field on the axis at point 0.02R from the center of the ring. Express your answer in terms of some or all of the variables Q, Ro, and the appropriate constants. E0.02 Ro Submit Part B E75 Ro = = VE ΑΣΦ In terms of the total charge Q, estimate the electric field on the axis at point 75Ro from the center of the ring. Submit Request Answer Express your answer in terms of some or all of the variables Q, Ro, and the appropriate constants. VE ΑΣΦ ? Request Answer X ?
A closed surface with dimensions a = b 0.272 m and c = the figure. The electric field throughout the region is nonuniform and defined by E (a+ Br)î where r is in meters, a = 3 N/C, and 3 = 5 N/(C -m²). 0.4896 m is located as in E What is the magnitude of the net charge enclosed by the surface? Answer in units of C. A. to sh What is the sign of the charge enclosed in the surface? R 1. Cannot be determined 2. Negative 3. Positive
Two rings of radius R-5 cm are 34 cm apart and concentric with a common vertical axis (figure below). Ring 1 carries a uniformly distributed charge Q₁ = 20 nC and ring 2 carries a uniformly distributed charge of Q₂ = -70 nC. T A Ring 2 Ring 1 1. Find the magnitude of the electric field E created by Ring 1 at point A, halfway between the two rings. E₁ = [N/C] What is the direction of the electric. 2. field E, created by Ring 1 at point A. Direction: + 3. Write the expression of the electric filed E₁ created by Ring 1 at point A. E₁ = [N/C] > [N/C] 7. If vector E₁ = [N/C] and vector Ē₂ = [N/C]. Find the net electric filed Enet at point A. Ēnet = [N/C] 8. If a charge q = 5 nC is placed at location A, what would be the force on this charge? Use the answer of question 7.
a) Find the surface charge density σ2 of the cylindrical shell of radius R2. (Note the unit in the input box and the sign of charges.) Surface charge density σ2Give your answer up to at least three significance digits. b) Find an expression of electric field at rmm from the center where R1<r<R2. Assume the cylinder has a length L and L is very long so that electric field is uniform. Consider that the insulating material between the cylinders is air. (Hint : use Gauss's law and cylindrical Gaussian surface with radius r.) Magnitude of the electric field at r=0.76mm Give your answer up to at least three significance digits. c) Calculate absolute value of the potential difference between the wire and the cylinder. Absolute value of the potential difference Give your answer up to at least three significance digits. d) Calculate the capacitance C for this cylindrical system. Assume that the length of the cylinder is L=17cm. Capacitance C for this cylindrical system Give your…
Let there be a spherically symmetric charge distribution with charge density varying as p = p0e-r/a where r is the centre of the charge distribution, and a and p0 are constants greater than 0. At any given value of r, determine the electric field and sketch the graph with magnitude r. (Use Integration by Parts)

SEE MORE QUESTIONS

Recommended textbooks for you

Physics for Scientists and Engineers: Foundations…

Physics

ISBN:

9781133939146

Author:

Katz, Debora M.

Publisher:

Cengage Learning

Principles of Physics: A Calculus-Based Text

Physics

ISBN:

9781133104261

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

Physics for Scientists and Engineers, Technology …

Physics

ISBN:

9781305116399

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

Physics for Scientists and Engineers: Foundations…

Physics

ISBN:

9781133939146

Author:

Katz, Debora M.

Publisher:

Cengage Learning

Principles of Physics: A Calculus-Based Text

Physics

ISBN:

9781133104261

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

Physics for Scientists and Engineers, Technology …

Physics

ISBN:

9781305116399

Author:

Raymond A. Serway, John W. Jewett

Publisher:

Cengage Learning

University Physics Volume 2

Physics

ISBN:

9781938168161

Author:

OpenStax

Publisher:

OpenStax

SEE MORE TEXTBOOKS