A metal sphere of radius 12 cm is charged using a rubber rod and acquires a...

A metal sphere of radius 12 cm is charged using a rubber rod and acquires a charge of Q 1 = +5.8 μC. It is brought into contact with another metal sphere having a radius of 6.5 cm and an initial charge of Q 2 = +2.0 μC. After coming into contact, the two spheres are carefully separated. (a) What is the charge that ends up on each sphere after being in contact? (b) How many excess protons or electrons does each sphere end up with?

Expert Solution

When the two spheres come in contact both have same potential. We use this along with the concept of conservation of charge to find the required charge on each sphere after being in contact as shown below

***********************************************************************************************
This concludes the answers. If there is any mistake or omission, let me know in the comments immediately and I will fix it....

genius_generous answered 2 years ago

A metal sphere with a radius of 10 cm is charged with 3 ⋅ (10)^(-8)C. It...

A metal sphere with a radius of 10 cm is charged with 3 ⋅ (10)^(-8)C. It is then connected by wire to another metal sphere with a radius of 5 cm. a) Calculate the potential of the first sphere and the potential energy before connecting to the second sphere b) Calculate the charges and potentials of both spheres after connection. The distance between the spheres is so great that the electrical effect between them is insignificant c) Calculate the potential...

A uniformly charged non-conducting sphere of radius 12 cm is centered at x=0. The sphere is...

A uniformly charged non-conducting sphere of radius 12 cm is centered at x=0. The sphere is uniformly charged with a charge density of ρ=+15 μC/m3. Find the work done by an external force when a point charge of +20 nC that is brought from infinity on the x-axis at a distance of 1 cm outside the surface of the sphere. Given the point charge held at its final position, what is the net electric field at x=5 cm on the...

Metal sphere A of radius 11.0 cm carries 9.00 μC of charge, and metal sphere B...

Metal sphere A of radius 11.0 cm carries 9.00 μC of charge, and metal sphere B of radius 20.0 cm carries −2.00 μC of charge. If the two spheres are attached by a very long conducting thread, what is the final distribution of charge on the two spheres? Charge on sphere A (μC)? Charge on sphere B (μC)?

A rubber ball with a radius of 10.0 cm is uniformly charged with a charge density...

A rubber ball with a radius of 10.0 cm is uniformly charged with a charge density of p . The electric field at position “X”, 5.00 cm from the center of the ball, is pointing toward the center of the sphere with a magnitude of 2 5.00 10^2 N/ C . What is the magnitude of the electric field 12.00 cm from the center of the sphere? Neglect any dielectric effect of the rubber

A solid metal sphere of radius a = 1.30 cm is surrounded by a concentric spherical...

A solid metal sphere of radius a = 1.30 cm is surrounded by a concentric spherical metal shell of inner radius b = 3.40 cm and outer radius c = 3.90 cm. The inner sphere has a net charge of Q1 = 3.30 μC, and the outer spherical shell has a net charge of Q2 = -8.00 μC. What is the radial component of the electric field Er at a point located at radius r = 3.10 cm, i.e. between...

An isolated charged conducting sphere has a radius R = 14.0 cm. At a distance of...

An isolated charged conducting sphere has a radius R = 14.0 cm. At a distance of r = 24.0 cm from the center of the sphere the electric field due to the sphere has a magnitude of E = 4.90 ✕ 104 N/C. (a) What is its surface charge density (in µC/m2)? µC/m2 (b) What is its capacitance (in pF)? pF (c) What If? A larger sphere of radius 30.0 cm is now added so as to be concentric with...

A solid metal sphere of radius a = 2.5 cm has a net charge Qin =...

A solid metal sphere of radius a = 2.5 cm has a net charge Qin = - 3 nC (1 nC = 10-9C). The sphere is surrounded by a concentric conducting spherical shell of inner radius b = 6 cm and outer radius c = 9 cm. The shell has a net charge Qout = + 2 nC. What is V0, the electric potential at the center of the metal sphere, given the potential at infinity is zero?

A sphere with radius a = 8 cm is in a conductive sphere shell with an...

A sphere with radius a = 8 cm is in a conductive sphere shell with an internal radius of b = 12 cm and an outer radius of c = 18 cm with a load of -200 mC. a) Determine the load distribution in the sphere and sphere shell. b) Calculate the value of the electric field in r = 0 cm, r = 4 cm, r = 8 cm, r = 10 cm, r = 14 cm, r =...

When a rubber rod is rubbed with fur, the rod becomes negatively charged because of the transfer of:

When a rubber rod is rubbed with fur, the rod becomes negatively charged because of the transfer of: a) electrons to the fur b) protons to the fur c) electrons to the rod d) protons to the rod

A sphere of radius 2.09 cm and a spherical shell of radius 6.97 cm are rolling...

A sphere of radius 2.09 cm and a spherical shell of radius 6.97 cm are rolling without slipping along the same floor. The two objects have the same mass. If they are to have the same total kinetic energy, what should the ratio of the sphere\'s angular speed to the spherical shell\'s angular speed be? Please provide a clear explanation. I have tried to look this problem u, but I was unable to understand exactly how the solution was found.

Question