1. For a spherical capacitor, if the radius of the outer plate is very large in comparison to the radius of the inner plate, the capacitance equation (essentially) is: (a) C = A/k (b) C = B/k (c) C = A/kB (d) C = B/Ak
2. Find the total energy stored in the capacitors of the circuit shown below. Each capacitor is 20 μF and the battery is 100 v.
(a) 0.01 J
(b) 0.001 J
(c) 1.0 J
(d) 0.1 J
3. What is the voltage across any of the four capacitors in question #2?
(a) 20 v
(b) 50 v
(c) 25 v
(d) 100 v
1. For a spherical capacitor, if the radius of the outer plate is very large in...
A spherical capacitor has a spherical inner plate with radius a and outer plate with radius b. The charge on the inner plate is +Q and on the outer plate it is -Q. We have filled a cone shaped region of angle θ (0 ≤ θ ≤ π) with a dielectric with constant κ. The dielectric fills the entire volume between the two spheres inside the cone. You may neglect any fringing effects between the dielectric and the vacuum (dielectric...
A spherical capacitor has an inner-shell radius of 4.10 cm and an outer-shell radius of 7.70 cm. (The capacitance of a spherical capacitor is C = 4πε0[rinrout/(rout − rin)].) (a) What is the capacitance of this capacitor? F (b) When connected to a battery, the capacitor carries a charge of 7.10 µC. What is the voltage of the battery? V
A spherical capacitor has inner radius a and outer radius b, and is filled with an inhomogeneous dielectric with . Show that the capacitance of the capacitor is by assuming. (a) Q0 at the inner sphere and -Q0 at the outer sphere. (b) V0 at the inner sphere and 0 at the outer sphere.
1) A parallel plate capacitor with an area of 300 cm2 is separated by a distance of 2 mm in air or vacuum is charged by a battery of 12 volts. Find a) the capacitance of the system, b) the charge on the plates and c) the energy stored. 2) 2 capacitors , one 10 μF and the other 20 μF are connected in series to a battery of 12 volts. Find a) the equivalent capacitance of 2 b) the...
An air-filled spherical capacitor is constructed with an inner-shell radius of 6.50 cm and an outer-shell radius of 12.6 cm (a) Calculate the capacitance of the device. (b) What potential difference between the spheres results in a 4.00 μC charge on the capacitor? (c) What If? What would be the length (in cm) of a cylindrical air-filled capacitor with the same inner and outer radii as the spherical capacitor if it were to have the same capacitance as the spherical capacitor?
A parallel-plate capacitor has capacitance 5.20 μF. The capacitor was origionaly connected to a 1.50 V battery? (b) If the battery is disconnected and the distance between the charged plates doubled, what is the energy stored? Note: When disconnected, the charge on the capacitor must remain the same as when disconnected. A parallel-plate capacitor has capacitance 5.20 μF. The capacitor was origionaly connected to a 1.50 V battery? (c) The battery is subsequently reattached to the capacitor, but the plate...
We want to design a spherical vacuum capacitor, formed by an inner spherical conductor with radius b and an outer spherical shell of given radius a. We want to design a spherical vacuum capacitor, formed by an inner spherical conductor with radius b and an outer spherical shell of given radius a. We want the capacitor to be able to store the greatest amount of electrical energy subject to the constraint that the electric field strength at the surface of...
2. (4 points) A spherical capacitor has outer radius R2 and inner radius R1 and is filled with a dielectric material in which ε--Ceo/r. A positive charge Q is placed in the inner radius and a negative charge-Q is placed on the outer radius. Remember that ε in this problem depends on the radial position r. (a) Calculate D, E and P within the capacitor, as a function of r for R R2 b) Calculate the potential V, from R1...
Redo it please and explain 1. A 55-HF parallel plate capacitor with circular plates is charged by a 15-vbattery. The radius of the plates is then doubled while the battery is attached. a. Determine how much additional charge flows onto the plates. b. Suppose we constructed a concentric spherical shell capacitor with the same capacitance. If the inner sphere's radius is 10 cm, determine the outer sphere's radius. .6 b a b k, (b- o)
6. You have a parallel-plate capacitor made of two circular metal plates. The radius of each plate is 2 cm and they are separated by a distance of 1 mm. (a) What is the capacitance of this capacitor? (b) If you hook this capacitor up to a 9-V battery, how much energy will be stored in the capacitor? (c) If the 9-Volt battery has a total capacity of 610 milliAmp-hours, how many of the above capacitors could you charge up...