(Gauss' law 3) The Gaussian surface is a sphere with a radius of 10 cm. At...
(Gauss' law 3) The Gaussian surface is a sphere with a radius of 10 cm. At the center of the sphere is a point charge.
At the Gaussian surface (10 cm from the point charge) an electric field of 5000 N/C is directed away from the point charge.
a) Draw the Gaussian surface around the point charge. Show electric field vectors at the surface.
b) Use Gauss' law to find the charge enclosed by the surface.
c) The charge you found here is the _____________________.
d) Write the electric field for the line of charge as a function of r (the distance from the point charge).
Find the electric field at a distance of 10 cm from the point charge. (Show that the answer will be 5000N/C).
Homework Answers
i think is mistake i part d of
the question. Instead of line charge it should be point charge
which is mentioned right afterwords.
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(Gauss' law 3) The Gaussian surface is a sphere with a radius of
10 cm. At...
4. The Gaussian surface is a sphere with a radius of 10 cm. At the center...
4. The Gaussian surface is a sphere with a radius of 10 cm. At the center of the sphere is a point charge, At the Gaussian surface (10 cm from the point charge) an electric field of 5000 N/C is directed away from the point charge. b) Use Gauss' law to find the charge enclosed by the surface. c) The charge you found here is the d) Write a formula for the electric field for the point charge as a...
Problem 2: a conducting sphere A conducting sphere has a positive net charge Q and radius...
Problem 2: a conducting sphere A conducting sphere has a positive net charge Q and radius R. (Note: since the sphere is conducting all the charge is distributed on its surface.) a) By reflecting on the symmetry of the charge distribution of the system, determine what the E-field lines look like outside the sphere for any r > R. Describe the E-field in words and with a simple sketch. Make sure to also show the direction of the E-field lines....
Use Gauss’ law to derive this (23-13) equation. Please show steps. Gauss' Law: Planar Symmetry Sheet...
Use Gauss’ law to derive this (23-13) equation. Please show
steps.
Gauss' Law: Planar Symmetry Sheet 7 shows a portion of a thin, infinite, nonconducting s ve) surface charge density ơ.A sheet of thi one side, can serve as a simple model. Le n front of the sheet. ing heet with a uni- plastic wrap, uniformly t us find the electric field Gaussian surface is a closed cylinder with end caps of are ierce the sheet perpendicularly as shown. From...
Gauss' Law Electric Field Inside a Cavity A sphere of radius 2m is made of a...
Gauss' Law Electric Field Inside a Cavity A sphere of radius 2m is made of a non-conducting material that has a uniform volume charge density p = 2.655 x 10-10C/m. A spherical cavity of radius 1m is then carved out from the sphere. As measured from the center of the large sphere, the center of the spherical cavity is at the position in cos300i+sin 30°i. Find the electric field at a point P within the cavity. As measured from the...
A solid conducting sphere of radius 2.00 cm has a charge of 9.20 μC. A conducting...
A solid conducting sphere of radius 2.00 cm has a charge of 9.20 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 charge of-1.92 μC. Find the electric field at the following radii from the center of this charge configuration (a) r-1.00 cm magnitude 0 direction N/C The magnitude is zero. (b) r-3.00 cm magnitude 9.2e7 direction radially outward (c) r-4.50 cm magnitude 0 direction...
Question 1 (compulsory): The following set of charges is given in free space Charge σ,--40 nC/m Number and type of charge #1 , charged spherical shell of radius Ri-10 cm carrying uniform surface char...
Question 1 (compulsory): The following set of charges is given in free space Charge σ,--40 nC/m Number and type of charge #1 , charged spherical shell of radius Ri-10 cm carrying uniform surface charge density σ #2, charged spherical shell of radius R2-5 cm carrying uniform surface charge density Ơ Location (0, 0, 0) m (position of the centre of the sphere) (0, 0, 0) m (position of the centre of the sphere σ,-160 nC/m2 The positions of the spheres'...
8) A Gaussian spherical surface of radius 0.20 m completely surrounds a collection of charges. A...
8) A Gaussian spherical surface of radius 0.20 m completely surrounds a collection of charges. A uniform electric field emerging from the charges has a value of.51 NC. a) Find the electric flux through the surface if the collection consists of a single charge. Use the Gauss Law to determine the magnitude of this charge inside the sphere. b)
You have a hollow conducting sphere of radius 5 cm. the electric field at 10 cm...
You have a hollow conducting sphere of radius 5 cm. the electric field at 10 cm measured radially outward from the center of the sphere is 8.99x1046 2. N/C. a. b. c. d. What is the charge of the sphere? What is the surface charge density of the sphere? What is the electric field at a distance r-1 cm from the center of the sphere? What is the potential at the center of the sphere? R-5 cm R-10 cm
4. The Gaussian surface is a sphere with a radius of 10 cm. At the center of the sphere is a point charge, At the Gaussian surface (10 cm from the point charge) an electric field of 5000 N/C is directed away from the point charge. b) Use Gauss' law to find the charge enclosed by the surface. c) The charge you found here is the d) Write a formula for the electric field for the point charge as a...
Problem 2: a conducting sphere A conducting sphere has a positive net charge Q and radius R. (Note: since the sphere is conducting all the charge is distributed on its surface.) a) By reflecting on the symmetry of the charge distribution of the system, determine what the E-field lines look like outside the sphere for any r > R. Describe the E-field in words and with a simple sketch. Make sure to also show the direction of the E-field lines....
Use Gauss’ law to derive this (23-13) equation. Please show
steps.
Gauss' Law: Planar Symmetry Sheet 7 shows a portion of a thin, infinite, nonconducting s ve) surface charge density ơ.A sheet of thi one side, can serve as a simple model. Le n front of the sheet. ing heet with a uni- plastic wrap, uniformly t us find the electric field Gaussian surface is a closed cylinder with end caps of are ierce the sheet perpendicularly as shown. From...
Gauss' Law Electric Field Inside a Cavity A sphere of radius 2m is made of a non-conducting material that has a uniform volume charge density p = 2.655 x 10-10C/m. A spherical cavity of radius 1m is then carved out from the sphere. As measured from the center of the large sphere, the center of the spherical cavity is at the position in cos300i+sin 30°i. Find the electric field at a point P within the cavity. As measured from the...
A solid conducting sphere of radius 2.00 cm has a charge of 9.20 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 charge of-1.92 μC. Find the electric field at the following radii from the center of this charge configuration (a) r-1.00 cm magnitude 0 direction N/C The magnitude is zero. (b) r-3.00 cm magnitude 9.2e7 direction radially outward (c) r-4.50 cm magnitude 0 direction...
Question 1 (compulsory): The following set of charges is given in free space Charge σ,--40 nC/m Number and type of charge #1 , charged spherical shell of radius Ri-10 cm carrying uniform surface charge density σ #2, charged spherical shell of radius R2-5 cm carrying uniform surface charge density Ơ Location (0, 0, 0) m (position of the centre of the sphere) (0, 0, 0) m (position of the centre of the sphere σ,-160 nC/m2 The positions of the spheres'...
8) A Gaussian spherical surface of radius 0.20 m completely surrounds a collection of charges. A uniform electric field emerging from the charges has a value of.51 NC. a) Find the electric flux through the surface if the collection consists of a single charge. Use the Gauss Law to determine the magnitude of this charge inside the sphere. b)
You have a hollow conducting sphere of radius 5 cm. the electric field at 10 cm measured radially outward from the center of the sphere is 8.99x1046 2. N/C. a. b. c. d. What is the charge of the sphere? What is the surface charge density of the sphere? What is the electric field at a distance r-1 cm from the center of the sphere? What is the potential at the center of the sphere? R-5 cm R-10 cm
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