I have a textbook which says that in spherical and cylindrical capacitors the inner plate is grounded, why is it so ? And why no plate is grounded in the parallel plate capacitor ?
In every spherical and cylindrical capacitors the inner plate is not always grounded but when you ground any conductor it charge become zero. You can also ground parallel plate capacitor but in that situation law of conservation of charge doesn't follow. And when you connect any part of spherical or cylinderical capacitor that part become irrelevant and the other act as capacitor.
I have a textbook which says that in spherical and cylindrical capacitors the inner plate is...
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 capacitor is formed from two concentric spherical conducting shells separated by vacuum. The inner sphere has radius 12.5 cm , and the outer sphere has radius 16.0 cm . A potential difference of 100 V is applied to the capacitor. Part A What is the energy density at r= 12.6 cm , just outside the inner sphere? Part B What is the energy density at r = 15.9 cm , just inside the outer sphere? Part C For a...
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)...
You have three parallel plate capacitors, each consisting of two parallel disks of metal separated by a gap filled with some material. Rank the capacitors by their capacitances from highest to lowest, based on the provided plate radii (r), plate separations (d), and filler materials. Capacitor 1 r=5.77 mm, d=54.6 um filled with paper (k value 3.50) Capacitor 2 r=8.87 mm, d=36.7 um, filled with porcelain (k value 7.00) Capacitor 3 r=14.3 mm, d=12.4 um, filled with Germanium (k value...
A capacitor is formed from two concentric spherical conducting shells separated by vacuum. The inner sphere has radius 10.5 cm , and the outer sphere has radius 16.5 cm . A potential difference of 130 V is applied to the capacitor. a.What is the energy density at r= 10.6 cm , just outside the inner sphere? b.What is the energy density at r = 16.4 cm , just inside the outer sphere? c.For a parallel-plate capacitor the energy density is...
A capacitor is formed from two concentric spherical conducting shells separated by vacuum. The inner sphere has radius 12.5 cm , and the outer sphere has radius 14.5 cm . A potential difference of 120 V is applied to the capacitor. A. What is the energy density at r= 12.6 cm , just outside the inner sphere? B. What is the energy density at r = 14.4 cm , just inside the outer sphere? C. For a parallel-plate capacitor the...
Two parallel-plate capacitors, 4.5 µF each, are connected in series to a 9.3 V battery. One of the capacitors is then squeezed so that its plate separation is halved. Because of the squeezing, (a) how much additional charge is transferred to the capacitors by the battery and (b) what is the increase in the sum of the charges: the charge on the positive plate of one capacitor plus the charge on the positive plate of the other capacitor? Give your...
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?
You have three parallel plate capacitors, each consisting of two parallel disks of metal separated by a gap filled with some material. Rank the capacitors by their capacitances from highest to lowest, based on the provided plate radii (r), plate separations (d), and filler materials. Dielectric constants for each material can be found in the table to the right. Capacitor 1 (C1): r = 19.6 mm, d = 11.3 ?m, filled with air. Capacitor 2 (C2): r = 16.3 mm, d =...