Two thin-walled concentric conducting spheres of radii 5.0 cm and 10 cm have a potential difference of 100 V between them. (k= 1/4πε0 = 8.99 × 109 N · m2/C2)
(a) What is the capacitance of this combination?
(b) What is the charge carried by each sphere?
Two thin-walled concentric conducting spheres of radii 5.0 cm and 10 cm have a potential difference...
Two concentric conducting spheres of radii a = 5 cm and b = 10 cm have a potential difference V = 100 V between them. What is the charge carried by each sphere?
Two conducting concentric spheres (shells)have radii R1 = 10 cm and R2 = 20 cm. Both spheres are charged to Q = +20 C. Find: (i) The electric field within the spheres and out of the external sphere. (ii) The potential difference between the spheres. (iii) The electric field profile if the spheres are connected by a thin conducting wire.
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...
A capacitor is constructed using concentric conducting spheres. The inner sphere has radius a, the outer sphere (a thin-walled shell) has radius b. 1. Show that the capacitance is ab/k(b − a) when the space between the inner and outer spheres is empty. Start with the result from Gauss’s law for the field outside a uniform spherical charge distribution (derive the potenital difference between the spheres). 2. What is the capacitance if a = 0.1 m and b = 0.103...
Flag question The outer sphere of two concentric conducting spheres of radii 9 cm and 15 cm is grounded. Charge q=8 nC is placed on the inner sphere. The outer conductor then contracts from radius 5 cm. Calculate the work done by the electric force.
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...
= A capacitor consists of two concentric spheres of radii rý = 30cm andra 36 cm. Assume the gap between the conductors is filled with air. (a)What is the capacitance of this capacitor? (b) How much charge is stored in the capacitor if the potential difference between the two spheres is 50V? ra
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.
There are two identical, positively charged conducting spheres fixed in space. The spheres are 39.8 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, 91 and 92 if initially...