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3. (5 pts) Electrostatic force. A sphere of radius R which carries a uniform volume charge densit...
Problem 6: Assume uniform distribution of charge within a sphere with radius R. Determine the total force with which the southern hemisphere acts on the northern hemisphere. Show your solution in ter...
Problem 6: Assume uniform distribution of charge within a sphere with radius R. Determine the total force with which the southern hemisphere acts on the northern hemisphere. Show your solution in terms of radius of the sphere R and the total charge Q. State assumptions if any Problem 6: Assume uniform distribution of charge within a sphere with radius R. Determine the total force with which the southern hemisphere acts on the northern hemisphere. Show your solution in terms of...
held. A solid sphere has a radius R. The top hemisphere carries a uniform charge density...
held. A solid sphere has a radius R. The top hemisphere carries a uniform charge density p while the lower hemisphere has a uniform charge density of -p. Find an approximate formula for the potential outside the sphere, valid at distances r >> R. A solid sphere has a radius R. The top hemisphere carries a uniform charge density p while the lower hemisphere has a uniform charge density of -p. Find an approximate formula for the potential outside the...
4) A nonconducting sphere of radius Ro and total charge Q, contains a non-uniform volume charge...
4) A nonconducting sphere of radius Ro and total charge Q, contains a non-uniform volume charge density p -A/r (where A is a constant) throughout the she (a) Find the constant A in terms of Ro, k and Q (b) Find the electric field for r < Ro and r Ro.
A sphere of radius 4.98 cm and uniform surface charge density +12.9 μC/m2 exerts an electrostatic...
A sphere of radius 4.98 cm and uniform surface charge density +12.9 μC/m2 exerts an electrostatic force of magnitude 4.45×10−2 N on a point charge +1.10 μC . Find the separation between the point charge and the center of the sphere.
A sphere of radius 4.02 cm and uniform surface charge density +11.6 μC/m2 exerts an electrostatic...
A sphere of radius 4.02 cm and uniform surface charge density +11.6 μC/m2 exerts an electrostatic force of magnitude 4.18×10−2 N on a point charge +1.95 μC . Find the separation between the point charge and the center of the sphere.
A solid, insulating sphere of radius a has a uniform charge density throughout its volume and...
A solid, insulating sphere of radius a has a uniform charge density throughout its volume and a total charge Q Concentric with this sphere is a conducting, hollow sphere with total charge -Q, whose inner and outer radii are b and c as shown in the figure. Express all your answers in terms of Q, a, b, c,r and k, or o as appropriate (a) [4 pts.] Draw an appropriate Gaussian surface and use it to find the electric field...
A sphere of radius R has total charge Q. The volume charge density (C/m3) within the...
A sphere of radius R has total charge Q. The volume charge density (C/m3) within the sphere is ρ(r)=C/r2, where C is a constant to be determined. The charge within a small volume dV is dq=ρdV. The integral of ρdV over the entire volume of the sphere is the total charge Q. Use this fact to determine the constant C in terms of Q and R. Hint: Let dV be a spherical shell of radius r and thickness dr. What...
An insulating hollow sphere of inner radius R1 and outer radius R2 has a uniform volume charge density pand carries a total positive charge Q.
An insulating hollow sphere of inner radius R1 and outer radius R2 has a uniform volume charge density pand carries a total positive charge Q. A. Calculate the magnitude of the electric field and the electric flux at a point r where: B. Sketch the electric field and the electric flux as a function of r.
2. Spherical Dipole - The surface charge density on a sphere of radius R is constant, +0, on the entire northern hemisphere, and-oo on the entire southern hemisphere. There are no other charges prese...
2. Spherical Dipole - The surface charge density on a sphere of radius R is constant, +0, on the entire northern hemisphere, and-oo on the entire southern hemisphere. There are no other charges present inside or outside the sphere. (a) (4 pts) Compute the dipole moment of that sphere (with the +z-axis up through the pole of the positive, +Oo, hemisphere). Use the definition of a dipole moment, p-Jr, (7)dr', which in this case becomes p:-:J20(7)dA. Write your final answer...
A solid sphere of radius R carries charge Q distributed uniformly throughout its volume. Find the...
A solid sphere of radius R carries charge Q distributed uniformly throughout its volume. Find the potential difference from the sphere's surface to its center. Express your answer in terms of the variables R, Q and Coulomb constant k. V ( R ) − V ( 0 )= =
Problem 6: Assume uniform distribution of charge within a sphere with radius R. Determine the total force with which the southern hemisphere acts on the northern hemisphere. Show your solution in terms of radius of the sphere R and the total charge Q. State assumptions if any Problem 6: Assume uniform distribution of charge within a sphere with radius R. Determine the total force with which the southern hemisphere acts on the northern hemisphere. Show your solution in terms of...
held. A solid sphere has a radius R. The top hemisphere carries a uniform charge density p while the lower hemisphere has a uniform charge density of -p. Find an approximate formula for the potential outside the sphere, valid at distances r >> R. A solid sphere has a radius R. The top hemisphere carries a uniform charge density p while the lower hemisphere has a uniform charge density of -p. Find an approximate formula for the potential outside the...
4) A nonconducting sphere of radius Ro and total charge Q, contains a non-uniform volume charge density p -A/r (where A is a constant) throughout the she (a) Find the constant A in terms of Ro, k and Q (b) Find the electric field for r < Ro and r Ro.
A solid, insulating sphere of radius a has a uniform charge density throughout its volume and a total charge Q Concentric with this sphere is a conducting, hollow sphere with total charge -Q, whose inner and outer radii are b and c as shown in the figure. Express all your answers in terms of Q, a, b, c,r and k, or o as appropriate (a) [4 pts.] Draw an appropriate Gaussian surface and use it to find the electric field...
2. Spherical Dipole - The surface charge density on a sphere of radius R is constant, +0, on the entire northern hemisphere, and-oo on the entire southern hemisphere. There are no other charges present inside or outside the sphere. (a) (4 pts) Compute the dipole moment of that sphere (with the +z-axis up through the pole of the positive, +Oo, hemisphere). Use the definition of a dipole moment, p-Jr, (7)dr', which in this case becomes p:-:J20(7)dA. Write your final answer...
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