At each vertex of the square (0, 0, 0), (3, 0, 0), (3, 3, 0),
(0, 3, 0) there is a point charge of 4.0 (C). With center at point
(5, 5, 0) there is a sphere of radius R = 5.65m how much is the
value of ∯
when integrating over the entire surface of the sphere? Note: the
coordinates of the points are given in meters.
Homework Answers
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At each vertex of the square (0, 0, 0), (3, 0, 0), (3, 3, 0),
(0,...
Only need help with (d) = 0 ( [this point is away from 0] A conducting...
Only need help with (d)
= 0 ( [this point is away from 0] A conducting sphere of radius a is hollow and grounded (V = 0). A particle of charge q is a placed inside at a distance b from the center. We wish to find the potential anywhere inside the sphere. This problem can be solved with the image charge method. The image charge d' should be placed a distance b = from the center, so that the...
Write the equation of the square root function described. The function value, f(x), is an ordere...
Write the equation of the square root function described. The function value, f(x), is an ordered pair,(x,f(x) , on a circle of radius 5 with its center at the origin of a coordinate system. (Hint: The equation for a circle of radius r and its center at (0,0) x^2+y^2=r^2) and what value of r is the known surface area of a sphere, given by the function S(r)=4πr^2, numerically equal to the known volume of the sphere given by the function...
A point charge Q = + 310.0*10^-3 C is located at the center of a hollow...
A point charge Q = + 310.0*10^-3 C is located at the center of a hollow conducting sphere of inner radius r= 0.6 m and outer radius R = 1.20 m. The net charge on the entire outer conducting shell is zero. What is the charge density on the inner surface of the conducting shell? Please show the work as to how the answer is -6.8525*10^-2 C/m^2
A hollow metal sphere has inner radius a and outer radius b. The hollow sphere has charge +2Q.
A hollow metal sphere has inner radius a and outer radius b. The hollow sphere has charge +2Q. A point charge +Q sits at the center of the hollow sphere. a. Determine the electric fields in the three regions r ≤ a, a < r < b, and r ≥ b. b. How much charge is on the inside surface of the hollow sphere? On the exterior surface?
3. A Little Bundle of Jey Charge: The electric field of a solid bal of charge,...
3. A Little Bundle of Jey Charge: The electric field of a solid bal of charge, Q, with radius R is given by: T E (a) Calculate the divergence of E g spherical coordinates and components) at a point inside and a point outside the sphere to show that you obtain the correct result from Gauss's law V.E-) (b) Assume a reference point of roo e., V(oo)). Detere the electric potential at all (c) Now assume a reference point of...
1. (3 points) An electron is initially at rest in a uniform electric field of 2.5...
1. (3 points) An electron is initially at rest in a uniform electric field of 2.5 V/m. What will be the velocity of the electron 10 seconds later? 2. (3 points) Two spherical cavities a and b are hollowed out from the interior of a neutral conducting sphere of radius R 50 cm. The radii of cavities a and b are Ra 10 cm and R 20 cm. A point charge of a +30 uC is placed at the center...
A conducting sphere with radius R is centered at the origin. The sphere is grounded having...
A conducting sphere with radius R is centered at the origin. The sphere is grounded having an electric potential of zero. A point charge Q is brought toward the sphere along the z- axis and is placed at the point ะ-8. As the point charge approaches the sphere mobile charge is drawn from the ground into the sphere. This induced charge arranges itself over the surface of the sphere, not in a uniform way, but rather in such a way...
help please 3. Students were asking about applications of surface integrals in class last week. If S is a surface w...
help please
3. Students were asking about applications of surface integrals in class last week. If S is a surface with density p(x,y,z), then the mass of S is the surface integral of P(x,y.z) over S. If an clectric charge is distributed over S with charge density p(x,y,z), then the total charge over S is the surface integral of p(x,y,z) over S (Think about something you are adding up along each point of the surface.) Find the total charge (in...
Please help !!! Calculate the magnitude of the flux of a constant electric field of 5.0...
Please help !!!
Calculate the magnitude of the flux of a constant electric field of 5.0 NC in the z -direction through a rectangle with area 4.0 m2 in the xy plane. a. 0 b. 5.0 N-m2/C c. 10.0 N-m2/C d. 20.0 N-m/C 10. 11. A circular ring of charge of radius b has a total charge q uniformly distributed around it. The electric field at the center of the ring is a. 0 12. A solid spherical conductor has...
Problem 2 (6 points): Consider a solid sphere of radius R and uniform charge density p....
Problem 2 (6 points): Consider a solid sphere of radius R and uniform charge density p. Letr be the distance from the center of the sphere. It is helpful now to remind yourself what o(r) and E(F) are for this charge configuration. (a) Given the electric field E for the sphere, verify explicitly that XE = 0, both for r <R and r>R (3 points) (b) Show that V20= -p/c "CR T>R by expressing the electric potential o(r) in Cartesian...
Only need help with (d)
= 0 ( [this point is away from 0] A conducting sphere of radius a is hollow and grounded (V = 0). A particle of charge q is a placed inside at a distance b from the center. We wish to find the potential anywhere inside the sphere. This problem can be solved with the image charge method. The image charge d' should be placed a distance b = from the center, so that the...
3. A Little Bundle of Jey Charge: The electric field of a solid bal of charge, Q, with radius R is given by: T E (a) Calculate the divergence of E g spherical coordinates and components) at a point inside and a point outside the sphere to show that you obtain the correct result from Gauss's law V.E-) (b) Assume a reference point of roo e., V(oo)). Detere the electric potential at all (c) Now assume a reference point of...
1. (3 points) An electron is initially at rest in a uniform electric field of 2.5 V/m. What will be the velocity of the electron 10 seconds later? 2. (3 points) Two spherical cavities a and b are hollowed out from the interior of a neutral conducting sphere of radius R 50 cm. The radii of cavities a and b are Ra 10 cm and R 20 cm. A point charge of a +30 uC is placed at the center...
A conducting sphere with radius R is centered at the origin. The sphere is grounded having an electric potential of zero. A point charge Q is brought toward the sphere along the z- axis and is placed at the point ะ-8. As the point charge approaches the sphere mobile charge is drawn from the ground into the sphere. This induced charge arranges itself over the surface of the sphere, not in a uniform way, but rather in such a way...
help please
3. Students were asking about applications of surface integrals in class last week. If S is a surface with density p(x,y,z), then the mass of S is the surface integral of P(x,y.z) over S. If an clectric charge is distributed over S with charge density p(x,y,z), then the total charge over S is the surface integral of p(x,y,z) over S (Think about something you are adding up along each point of the surface.) Find the total charge (in...
Please help !!!
Calculate the magnitude of the flux of a constant electric field of 5.0 NC in the z -direction through a rectangle with area 4.0 m2 in the xy plane. a. 0 b. 5.0 N-m2/C c. 10.0 N-m2/C d. 20.0 N-m/C 10. 11. A circular ring of charge of radius b has a total charge q uniformly distributed around it. The electric field at the center of the ring is a. 0 12. A solid spherical conductor has...
Problem 2 (6 points): Consider a solid sphere of radius R and uniform charge density p. Letr be the distance from the center of the sphere. It is helpful now to remind yourself what o(r) and E(F) are for this charge configuration. (a) Given the electric field E for the sphere, verify explicitly that XE = 0, both for r <R and r>R (3 points) (b) Show that V20= -p/c "CR T>R by expressing the electric potential o(r) in Cartesian...
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