Two concentric shells with radii a and b for the inner and outer ones, respectively. Both...
The space between two concentric conducting spherical shells of radii b = 2.20 cm and a = 1.20 cm is filled with a substance of dielectric constant κ = 24.2. A potential difference V = 50.0 V is applied across the inner and outer shells. Determine (a) the capacitance of the device, (b) the free charge q on the inner shell, and (c) the charge q induced along the surface of the inner shell.
The space between two concentric conducting spherical shells of radii b = 1.70 cm and a = 1.20 cm is filled with a substance of dielectric constant κ = 20.5. A potential difference V = 62.0 V is applied across the inner and outer shells. (a) Determine the capacitance of the device. (b) Determine the free charge q on the inner shell. (c) Determine the charge q' induced along the surface of the inner shell.
Please Justify Answers and Show All work. 3. Two concentric spherical metal shells have radii a and 2a as shown in the figure on the right. The outer shell has a charge Q, but the inner shell is grounded. This means that the inner shell is at zero potential. While its potential is zero, the inner shell is not electrically neutral. The outer shell induces a charge lin on the inner shell. (The charges are taken from ground). Answer the...
Two concentric spherical shells of diameter 13.6 cm and 26.0 cm are used to form a spherical capacitor. The charges on the inner and outer shells are −5.00 µC and +5.00 µC, respectively. (a) Determine the potential difference from the inner to the outer shell. Use the fact that the magnitude of the electric field at a distance r from the center of the inner shell is given by E = kQ/ r2 , where k is Coulomb's constant and...
Two concentric spherical shells of diameter 13.6 cm and 29.0 cm are used to form a spherical capacitor. The charges on the inner and outer shells are −9.00 µC and +9.00 µC, respectively. (a) Determine the potential difference from the inner to the outer shell. Use the fact that the magnitude of the electric field at a distance r from the center of the inner shell is given by E = KQ/r2, where K is Coulomb's constant and Q is...
A capacitor is constructed of two concentric conducting cylindrical shells. The radius of the inner cylindrical shell is 2.37 x10-3 m, and that of the outer shell is 2.47 x 10-3 m. When the cylinders carry equal and opposite charges of magnitude 2.0 x 10-10 C, the electric field between the plates has an average magnitude of 3.8 x 104 V/m and is directed radially outward from the inner shell to the outer shell. Determine (a) the magnitude of the...
Two very long concentric conducting cylindrical shells are arranged as seen below. The inner shell has a radius a, and the outer shell a radius b. Each shell has a length L. A charge of -Q is spread over the inner shell and a charge of +Q resides on the outer shell. Ignore fringe fields (e.g. assume each cylinder is very long). Find the electric field everywhere in space. Find the potential difference between the two shells. Which one is...
Q#2: Consider two concentric conducting spheres of finite thickness in vacuum. The inner sphere has radii a, a, and carries -q of charge. The outer sphere has radii b,< b, and carries +2q of charge. (a) Calculate the electric field in all regions. Indicate directions (b) Calculate the electric potential in all regions. Indicate signs. (c) Calculate the electrostatic energy of the entire system (d) Calculate the capacitance between the two spheres. (e) What is the electrostatic pressure on each...
Two concentric charged spherical conducting shells of radii 3 and 4 cm carry equal and opposite charges of magnitude 8 * 10^-6 C as shown in Figure 2. a. find the electric field at r = 4cm b. Find the electric potential at r=2 cm. 2. Two concentric charged spherical conducting she l1s of radii 3 and 5 cm carry equal and oppositecharges of taagnitude 8 x 10-6 c as shovn in Figure 2. a) Find the electric field at...
Consider two thin, concentric conducting spherical shells with radii r1 = 0.50 m and r2 = 1.0 m. A charge of +1.0 mC is placed on the inner sphere and a charge of +2.0 mC is placed on the outer sphere. Set the potential at infinity to be 0. Determine (a) the field inside the inner sphere, (b) the charge on the inner surface of the outer conductor, (c) the magnitude of the E-field midway between the inner and outer...