In free space, an arbitrary point charge of 20nC is located at (4,-1,3) in side the...
In free space, an arbitrary point charge of 20nC is located at (4,-1,3) in side the sphere centered at the origin with a radius of r=10m. Find the electric flux psi(D). Gauss's law is not allowed to use.
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In free space, an arbitrary point charge of 20nC is located at
(4,-1,3) in side the...
a) Consider a point charge q at the center of an imaginary box with side lengths...
a) Consider a point charge q at the center of an imaginary box with side lengths 2a. Explicitly calculate the flux of the electric field through the box and show that it agrees with Gauss's law. b) Suppose the electric field of a point charge q is proportional to 1/r3 instead of 1/r2. Does Gauss's law hold in this case? Hint: compute the electric flux through a sphere centered at the location of q. Is your answer dependent on your...
A point charge of 8.90 nC is located at the origin and a second charge of...
A point charge of 8.90 nC is located at the origin and a second charge of -4.10 nC is located on the x axis at x=3.00cm. A. Calculate the electric flux through a sphere centered at the origin with radius 1.50 m . B. Repeat the calculation for a sphere of radius 2.70 m .
3. a) Consider a point charge q at the center of an imaginary box with side...
3. a) Consider a point charge q at the center of an imaginary box with side lengths 2a. Explicitly calculate the flux of the electric field through the box and show that it agrees with Gauss's law b) Suppose the electric field of a point charge q is proportional to 1/r3 instead of 1/r2. Does Gauss's law hold in this case? Hint: compute the electric fluz through a sphere centered at the location of q. Is your answer dependent on...
3. a) Consider a point charge q at the center of an imaginary box with side...
3. a) Consider a point charge q at the center of an imaginary box with side lengths 2a. Explicitly calculate the flux of the electric field through the box and show that it agrees with Gauss's law. b) Suppose the electric field of a point charge q is proportional to 1/r3 instead of 1/2. Does Gauss's law hold in this case? Hint: compute the electric flur through a sphere centered at the location of q. Is your answer dependent on...
4. A spherically sym metric charge distribution has the following radial dependence for the volume charge...
4. A spherically sym metric charge distribution has the following radial dependence for the volume charge density ρ 0 if r > R where γ is a constant a) What units must the constant y have? b) Find the total charge contained in the sphere of radius R centered at the origin. c) Use the integral form of Gauss's law to determine the electric field in the region r < R. (Hint: if the charge distribution is spherically symmetric, what...
4 A spherically symmetric charge distribution has the following radial dependence for the volume charge density...
4 A spherically symmetric charge distribution has the following radial dependence for the volume charge density ρ: 0 if r R where γ is a constant a) What units must the constant γ have? b) Find the total charge contained in the sphere of radius R centered at the origin c) Use the integral form of Gauss's law to determine the electric field in the region r R. (Hint: if the charge distribution is spherically symmetric, what can you say...
1) A point charge of 9.40 nC is located at the origin and a second charge...
1) A point charge of 9.40 nC is located at the origin and a
second charge of -4.20 nC is located on the x axis at x=3.75cm.
a) Calculate the electric flux through a sphere centered at the
origin with radius 1.20 m .
b) Repeat the calculation for a sphere of radius 2.70 m .
2) In a cubical volume, 0.70 m on a side, the electric field
is
where E0=0.125N/C and a=0.70m. The cube has its sides
parallel...
Only part f) please! 4 A spherically symmetric charge distribution has the following radial dependence for...
Only part f) please!
4 A spherically symmetric charge distribution has the following radial dependence for the volume charge density ρ ρ(r) If r > R where y is a constant a) What units must the constant y have? b) Find the total charge contained in the sphere of radius R centered at the origin c) Use the integral form of Gauss's law to determine the electric field in the region r < R. Hint: if the charge distribution is...
S22-1 An imaginary, spherical surface has radius 5.0m and is centered on the origin. A +15.0nC...
S22-1 An imaginary, spherical surface has radius 5.0m and is centered on the origin. A +15.0nC point charge is located on the x-axis at position x=+6.0m. There are no other charges in the region. . Calculate the electric field on the sphere's surface at location x- +5.0m · Calculate the electric field on the sphere's surface at location x= -5.0m According to Gauss's Law, the total electric flux through the sphere's surface is zero since there is no charge inside...
A positive point charge Q is located in free-space at the center of a spherical conducting...
A positive point charge Q is located in free-space at the center of a spherical conducting shell The conducting shell consists of two concentric spheres, with inner radius a and an outer radius b (b> a), shaded region as shown in figure below. a) (15 points) Determine electric flux density everywhere. b) (5 points) Determine electric potential at the inner radius of the conducting shell c) (5 points) What is the total charge at the inner surface at r=a? justify...
3. a) Consider a point charge q at the center of an imaginary box with side lengths 2a. Explicitly calculate the flux of the electric field through the box and show that it agrees with Gauss's law b) Suppose the electric field of a point charge q is proportional to 1/r3 instead of 1/r2. Does Gauss's law hold in this case? Hint: compute the electric fluz through a sphere centered at the location of q. Is your answer dependent on...
3. a) Consider a point charge q at the center of an imaginary box with side lengths 2a. Explicitly calculate the flux of the electric field through the box and show that it agrees with Gauss's law. b) Suppose the electric field of a point charge q is proportional to 1/r3 instead of 1/2. Does Gauss's law hold in this case? Hint: compute the electric flur through a sphere centered at the location of q. Is your answer dependent on...
4. A spherically sym metric charge distribution has the following radial dependence for the volume charge density ρ 0 if r > R where γ is a constant a) What units must the constant y have? b) Find the total charge contained in the sphere of radius R centered at the origin. c) Use the integral form of Gauss's law to determine the electric field in the region r < R. (Hint: if the charge distribution is spherically symmetric, what...
4 A spherically symmetric charge distribution has the following radial dependence for the volume charge density ρ: 0 if r R where γ is a constant a) What units must the constant γ have? b) Find the total charge contained in the sphere of radius R centered at the origin c) Use the integral form of Gauss's law to determine the electric field in the region r R. (Hint: if the charge distribution is spherically symmetric, what can you say...
1) A point charge of 9.40 nC is located at the origin and a
second charge of -4.20 nC is located on the x axis at x=3.75cm.
a) Calculate the electric flux through a sphere centered at the
origin with radius 1.20 m .
b) Repeat the calculation for a sphere of radius 2.70 m .
2) In a cubical volume, 0.70 m on a side, the electric field
is
where E0=0.125N/C and a=0.70m. The cube has its sides
parallel...
Only part f) please!
4 A spherically symmetric charge distribution has the following radial dependence for the volume charge density ρ ρ(r) If r > R where y is a constant a) What units must the constant y have? b) Find the total charge contained in the sphere of radius R centered at the origin c) Use the integral form of Gauss's law to determine the electric field in the region r < R. Hint: if the charge distribution is...
S22-1 An imaginary, spherical surface has radius 5.0m and is centered on the origin. A +15.0nC point charge is located on the x-axis at position x=+6.0m. There are no other charges in the region. . Calculate the electric field on the sphere's surface at location x- +5.0m · Calculate the electric field on the sphere's surface at location x= -5.0m According to Gauss's Law, the total electric flux through the sphere's surface is zero since there is no charge inside...
A positive point charge Q is located in free-space at the center of a spherical conducting shell The conducting shell consists of two concentric spheres, with inner radius a and an outer radius b (b> a), shaded region as shown in figure below. a) (15 points) Determine electric flux density everywhere. b) (5 points) Determine electric potential at the inner radius of the conducting shell c) (5 points) What is the total charge at the inner surface at r=a? justify...
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