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 the charge on the shell.
(b) If the space between the two shells is filled with air, determine the capacitance.
Two concentric spherical shells of diameter 13.6 cm and 29.0 cm are used to form a...
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...
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.
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.
Two concentric charged metal spherical shells are held fixed in space. All other charges are very far away. The smaller shell (call it shell A) has an inner diameter of 5 [cm], an outer diameter of 10 [cm], and a total charge of +10 [nC]. The larger shell (call is shell B) has an inner diameter of 25 [cm], an outer diameter of 30 [cm], and a total charge of +10 [nC]. Find the electric field (Both magnitude and direction)...
A spherical capacitor is formed from two concentric spherical conducting shells separated by a vacuum. The inner sphere has a radius of rarar_a = 12.0 cm, and the outer sphere has a radius of rbrbr_b = 14.8 cm. A potential difference of 120 VV is applied to the capacitor. a. What is the capacitance of the capacitor? Use ϵ0ϵ0epsilon_0 = 8.85×10−12 F/mF/m for the permittivity of free space. b. What is the magnitude E1 of the electric field E at...
A spherical capacitor is formed from two concentric spherical conducting shells separated by vacuum. The inner sphere has a radius of ra = 12.4 cm , and the outer sphere has a radius of rb = 14.9 cm . A voltage of 120 V is applied to the capacitor. a) What is the capacitance of the capacitor? Use ϵ0 = 8.85×10−12 F/m for the permittivity of free space b) What is the magnitude E1 of the electric field E⃗ at radius...
Please answer 1-3 A spherical capacitor is formed from two concentric spherical conducting shells separated by vacuum. The inner sphere has a radius of ra = 12.1 cm , and the outer sphere has a radius of rb = 15.1 cm . A potential difference of 120 V is applied to the capacitor. 1. What is the capacitance of the capacitor? Use ϵ0 = 8.85×10−12 F/m for the permittivity of free space. 2.What is the magnitude E1 of the electric...
Two charged concentric spherical shells have radii 11.8 cm and 14.0 cm. The charge on the inner shell is 4.81 × 10- 8 C and that on the outer shell is 2.46 × 10- 8 C. Find the electric field (a) at r = 12.7 cm and (b) at r = 22.7 cm.
Two charged concentric spherical shells have radii 10.4 cm and 16.8 cm. The charge on the inner shell is 5.63 × 10- 8 C and that on the outer shell is 1.99 × 10- 8 C. Find the electric field (a) at r = 13.9 cm and (b) at r = 38.2 cm.
A spherical capacitor is formed from two concentric, spherical conducting shells separated by a vacuum. The inner sphere has a radius of 15.0 cm and the capacitance of the device is 116 pF. a) What is the radius of the outer sphere? b) If the potential difference between the two spheres is 220 V, how much energy is stored in this capacitor?