Two spherical conductors of radii 11.0 cm and 15.0 cm are connected by a long thin conducting wire. After reaching a steady state, the spheres have charges q1 and q2, respectively. If the wire is now cut, and the spheres are placed such that the center-to-center distance between them is 28.0 cm, the spheres repel each other with a force of 2.00 N. Remember: The force between charged spheres depends on the center to center distance.
(a) What are q1 and q2? (Hint: Assume q1 and q2 are positive.)
(b) What is the potential at the surface of each sphere when they are connected by the wire?
(c) What is the magnitude of the electric field at the surface of each sphere when they are connected?
Two spherical conductors of radii 11.0 cm and 15.0 cm are connected by a long thin...
ere are two identical, positively charged conducting spheres fixed in space. The spheres are 43.4 cm apart (center to center) and repel each other with an electrostatic force of F10.0795 N. Then, a thin conducting wire connects the spheres, redistributing the charge on each sphere. When the wire is removed the spheres still repel but with a force of F2 0.115 N. Using this information, find the initial charge on each sphere, q1 and q2 if initially qī < Q2....
Two spherical conductors are separated by a distance much larger than either of their radii. Sphere A has a radius of 46.5 cm and a net charge of -95.5 nC, whereas sphere B, which is initially neutral, has a radius of 94.4 cm. The two spheres are then connected by a thin metal wire. What is the charge on sphere B after equilibrium has been reached? charge on sphere B: -31.52 nc
There are two identical, positively charged conducting spheres fixed in space. The spheres are 39.4 cm apart (center to center) and repel each other with an electrostatic force of F1 = 0.0765 N. Then, a thin conducting wire connects the spheres, redistributing the charge on each sphere. When the wire is removed the spheres still repel but with a force of F2 = 0.100 N. Using this information, find the initial charge on each sphere, q1 and q2 if initially...
There are two identical, positively charged conducting spheres fixed in space. The spheres are 36.6 cm apart (center to center) and repel each other with an electrostatic force of F1 = 0.0615 N. Then, a thin conducting wire connects the spheres, redistributing the charge on each sphere. When the wire is removed the spheres still repel but with a force of F2 = 0.100 N. Using this information, find the initial charge on each sphere, q1 and q2 if initially...
There are two identical, positively charged conducting spheres
fixed in space. The spheres are 44.0 cm apart (center to center)
and repel each other with an electrostatic force of F1 = 0.0765 N.
Then, a thin conducting wire connects the spheres, redistributing
the charge on each sphere. When the wire is removed the spheres
still repel but with a force of F2 = 0.100 N. Using this
information, find the initial charge on each sphere, q1 and q2 if
initially...
There are two identical, positively charged conducting spheres fixed in space. The spheres are 31.6 cm apart (center to center) and repel each other with an electrostatic force of F1 = 0.0795 N. Then, a thin conducting wire connects the spheres, redistributing the charge on each sphere. When the wire is removed the spheres still repel but with a force of F2 = 0.100 N. Using this information, find the initial charge on each sphere, q1 and q2 if initially...
There are two identical, positively charged conducting spheres fixed in space. The spheres are 37.4 cm apart (center to center) and repel each other with an electrostatic force of Fl = 0.0675 N. Then, a thin conducting wire connects the spheres, redistributing the charge on each sphere. When the wire is removed the spheres still repel but with a force of F2-0.100 N. Using this information, find the initial charge on each sphere, q1 and q2 if initially q<02. The...
4 Two spherical conductors (Homework #3) Two spherical conductors of different radii (Ri and R2) are connected by along fine conducting wire. Let's assume Ri << R2, the smaller sphere carries the total charge 0 (with surface chargé density o) and the larger sphere carries the total charge Q2 (with surface charge density ). a) Remember that the potential is always constant on and in the conductor. Using th is fact, show that the ratio of the charge is given...
Two spherical conductors (Homework #3) Two spherical conductors of different radii (Ri and R:) are connected by along fine conducting wire. Let's assume RiR, the smaller sphere carries the total charge Q (with surface charge density ) and the larger sphere carries the total charge a (with surface charge density a) Remember that the potential is always constant on and in the conductor. Using this fact, show that the ratio of the charge is given by R Q, R b)...
There are two identical, positively charged conducting spheres fixed in space. The spheres are 43.4 cm apart (center to center) and repel each other with an electrostatic force of Fi = 0.0600 N. Then, a thin conducting wire connects the spheres, redistributing the charge on each sphere. When the wire is removed the spheres still repel but with a force of F2 0.115 N. Using this information, find the initial charge on each sphere, q1 and q2 if initially q1...