![Problem 5:* An infinite slab of charge of thickness 2zo lies in the xy-plane between zZ0 and z-zo. The volume charge density p (expressed in C/m3) is constant. a. Use Gausss law to find an expression for the electric field strength at coordinate z inside the slab i b. Find an expression for the electric field strength above the slab (z2 z0). c. Draw a graph of E from z-0 to z 3Zo.^ (Hint: use a Gaussian cylinder with its ends parallel with the xy plane, extending from -z to tz, and evaluate the total charge included in the Gaussian surface; for calculating the flux of the electric field on the left-hand side of Gausss law, analyze the symmetry of the problem, which determines the direction of the field and where it is constant)- [Answers: (a) PZ outward (b) P2O outward () Draw! ]](http://img.homeworklib.com/questions/ca859b90-6ef7-11ea-83bd-571111088ab4.png?x-oss-process=image/resize,w_560)
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An infinite slab of charge of thickness 2z0 lies in the xy-plane between z=?z0 and z=+z0....
An infinite slab of charge of thickness 2z0 lies in thexy-plane between z=?z0 andz=+z0. The volume charge density ?(C/m3) is a constant.1-Use Gauss's law to find an expression for the electric field strength inside the slab (?z0?z?z0).Express your answer in terms of the variables ?,z, z0, and constant ?0.2-Find an expression for the electric field strength above the slab (z?z0).Express your answer in terms of the variables ?,z, z0, and constant ?0.3-Draw a graph of E from z=0 toz=3z0.
The correct answer is already given. What you have to do is how to get this...
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Problem 3: Consider a disk of radius R in the xy-plane with a non-uniform surface charge density σ(r)-ar, where a > 0 is a constant. Determine the electric field at a point z above the disk, along its axis of symmetry. [Answer:2k,zanV2+R2+R-Inz-
An infinite slab of charge of thickness 10m lies on the x-y plane between z = -5m and z=+5m
An infinite slab of charge of thickness 10m lies on the x-y
plane between z = -5m and z=+5m. The charge density, ρ, is 4 C/m3
and is a constant throughout the slab. (HINT: this is similar to
what we did in class to find the E-field for an “infinite sheet” of
charge… remember the cookie dough and the cookie cutter). a. Use Gauss's Law to find an expression for the Electric Field strength for any point inside the slab (-5m...
The correct answer is already given. What you have to do is how to get this...
The correct answer is already given. What you have to do is how
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Problem 2: A square loop of side a is placed in the xy-plane and centered on the origin. Find the electric field a distance z above the loop, which carries a uniform line charge density λ [Answer:
The correct answers are already given. What you have to do is how to get those...
The correct answers are already given. What you have to do is
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Problem 1: An early model of the atom, proposed by positive point charge +Ze (the nucleus) at the center of a sphere of radius R with uniformly distributed negative charge -Ze. Zis the atomic number, the number of protons in the nucleus and the number of electrons in the negative sphere after his discovery of the atomic nucleus, had a a. Show that...
The correct answers are already given. What you have to do is how to get those...
The correct answers are already given. What you have to do is
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Problem 6: The figure on the right shows a thin rod of length L and charge Q Find an expression for the electric potential a distance z away from the center of the rod on the line that bisects the rod (point A in the figure). a. Point A b. Find an expression for the electric potential a distance x away Point B...
Q3: Gauss's Law Problem Statement A-100 nC point charge sits at the center of a hallow...
Q3: Gauss's Law Problem Statement A-100 nC point charge sits at the center of a hallow spherical shell. The shell with radius 0.1 cm and negligible thickness, has a net charge of 200 nC. Find the electric field strength a) inside the sphere at r=0.05cm from the center, and b) outside the sphere at r=0.15cm from the center. In what direction does the electric field point in each case? Visual Representation • Draw a sketch of the charge distribution. •...
Gauss's Law in 3, 2, and 1 Dimension
Gauss's Law in 3, 2, and 1 Dimension Gauss's law relates the electric flux \(\Phi_{E}\) through a closed surface to the total charge \(q_{\text {end }}\) enclosed by the surface:Part ADetermine the magnitude \(E(r)\) by applying Gauss's law.Express \(E(r)\) in terms of some or all of the variables/constants \(q, \tau\), and \(\epsilon_{0}\).Part BBy symmetry, the electric field must point radially outward from the wire at each point; that is, the field lines lie in planes perpendicular to the wire. In solving for the magnitude of...
In solving for the magnitude of the electric field E⃗(z) produced by a sheet charge with...
In solving for the magnitude of the electric field E⃗(z) produced by a sheet charge with charge density σ, use the planar symmetry since the charge distribution doesn't change if you slide it in any direction of xy plane parallel to the sheet. Therefore at each point, the electric field is perpendicular to the sheet and must have the same magnitude at any given distance on either side of the sheet. To take advantage of these symmetry properties, use a...
The correct answer is already given. What you have to do is how to get this...
The correct answer is already given. What you have to do is how
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60 points (10 points per problem)- Problem 1: The figure on the right shows a thin rod of length L. A total charge of Q is distributed uniformly along its length. Find an expression for the vector electric field at point P. Give your answer in component form. Answer:
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Problem 3: Consider a disk of radius R in the xy-plane with a non-uniform surface charge density σ(r)-ar, where a > 0 is a constant. Determine the electric field at a point z above the disk, along its axis of symmetry. [Answer:2k,zanV2+R2+R-Inz-
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Problem 2: A square loop of side a is placed in the xy-plane and centered on the origin. Find the electric field a distance z above the loop, which carries a uniform line charge density λ [Answer:
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Problem 1: An early model of the atom, proposed by positive point charge +Ze (the nucleus) at the center of a sphere of radius R with uniformly distributed negative charge -Ze. Zis the atomic number, the number of protons in the nucleus and the number of electrons in the negative sphere after his discovery of the atomic nucleus, had a a. Show that...
The correct answers are already given. What you have to do is
how to get those answers.
Problem 6: The figure on the right shows a thin rod of length L and charge Q Find an expression for the electric potential a distance z away from the center of the rod on the line that bisects the rod (point A in the figure). a. Point A b. Find an expression for the electric potential a distance x away Point B...
Q3: Gauss's Law Problem Statement A-100 nC point charge sits at the center of a hallow spherical shell. The shell with radius 0.1 cm and negligible thickness, has a net charge of 200 nC. Find the electric field strength a) inside the sphere at r=0.05cm from the center, and b) outside the sphere at r=0.15cm from the center. In what direction does the electric field point in each case? Visual Representation • Draw a sketch of the charge distribution. •...
Gauss's Law in 3, 2, and 1 Dimension Gauss's law relates the electric flux \(\Phi_{E}\) through a closed surface to the total charge \(q_{\text {end }}\) enclosed by the surface:Part ADetermine the magnitude \(E(r)\) by applying Gauss's law.Express \(E(r)\) in terms of some or all of the variables/constants \(q, \tau\), and \(\epsilon_{0}\).Part BBy symmetry, the electric field must point radially outward from the wire at each point; that is, the field lines lie in planes perpendicular to the wire. In solving for the magnitude of...
The correct answer is already given. What you have to do is how
to get this answer.
60 points (10 points per problem)- Problem 1: The figure on the right shows a thin rod of length L. A total charge of Q is distributed uniformly along its length. Find an expression for the vector electric field at point P. Give your answer in component form. Answer:
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