हिंदी
कर्नाटक बोर्ड पी.यू.सी.पीयूसी विज्ञान कक्षा ११

The Outer Cylinders of Two Cylindrical Capacitors of Capacitance 2⋅2 µF Each, Are Kept in Contact and the Inner Cylinders Are Connected Through a Wire.

Advertisements
Advertisements

प्रश्न

The outer cylinders of two cylindrical capacitors of capacitance 2⋅2 µF each, are kept in contact and the inner cylinders are connected through a wire. A battery of emf 10 V is connected as shown in figure . Find the total charge supplied by the battery to the inner cylinders.

योग
Advertisements

उत्तर

It is given that the outer cylinders are kept in contact and the inner cylinders are connected through a wire. Thus, the equivalent circuit can be drawn as : 

The left plate of the capacitors (A and B) shown in the figure represents the inner plates of the cylindrical capacitors.
As the capacitors are connected in parallel, the potential difference across them is the same.
∴ Magnitude of the charge on each capacitor = CV = (2.2 μF) × (10V) = 22 µC
As plates A and B are connected to the positive terminal of the battery, the charge on each of them is +22 µC.
∴ Net charge on the inner plates = 22 µC + 22 µC = +44 µC

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 31: Capacitors - Exercises [पृष्ठ १६६]

APPEARS IN

एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
अध्याय 31 Capacitors
Exercises | Q 11 | पृष्ठ १६६

संबंधित प्रश्न

Three identical capacitors C1, C2 and C3 of capacitance 6 μF each are connected to a 12 V battery as shown.

Find

(i) charge on each capacitor

(ii) equivalent capacitance of the network

(iii) energy stored in the network of capacitors


A capacitor of capacitance C is charged to a potential V. The flux of the electric field through a closed surface enclosing the capacitor is


A capacitor is made of a flat plate of area A and a second plate having a stair-like structure as shown in figure . The width of each stair is a and the height is b. Find the capacitance of the assembly.


Convince yourself that parts (a), (b) and (c) figure are identical. Find the capacitance between the points A and B of the assembly.


Find the equivalent capacitances of the combinations shown in figure between the indicated points.


A capacitor of capacitance 2⋅0 µF is charged to a potential difference of 12 V. It is then connected to an uncharged capacitor of capacitance 4⋅0 µF as shown in figure . Find (a) the charge on each of the two capacitors after the connection, (b) the electrostatic energy stored in each of the two capacitors and (c) the heat produced during the charge transfer from one capacitor to the other.


Consider the situation shown in the figure. The switch S is open for a long time and then closed. (a) Find the charge flown through the battery when the switch S is closed. (b) Find the work done by the battery.(c) Find the change in energy stored in the capacitors.(d) Find the heat developed in the system.


The separation between the plates of a parallel-plate capacitor is 0⋅500 cm and its plate area is 100 cm2. A 0⋅400 cm thick metal plate is inserted into the gap with its faces parallel to the plates. Show that the capacitance of the assembly is independent of the position of the metal plate within the gap and find its value.


A capacitor is formed by two square metal-plates of edge a, separated by a distance d. Dielectrics of dielectric constant K1 and K2 are filled in the gap as shown in figure . Find the capacitance.


A parallel-plate capacitor with the plate area 100 cm2 and the separation between the plates 1⋅0 cm is connected across a battery of emf 24 volts. Find the force of attraction between the plates.


A parallel plate capacitor stores a charge Q at a voltage V. Suppose the area of the parallel plate capacitor and the distance between the plates are each doubled then which is the quantity that will change?


Define ‘capacitance’. Give its unit.


Derive the expression for resultant capacitance, when the capacitor is connected in parallel.


Consider the following statements regarding series grouping of capacitors and select the correct statements.
  1. Charge on each capacitor remains same and equals to the main charge supplied by the battery.
  2. Potential difference and energy distribute in the reverse ratio of capacitance.
  3. Effective capacitance is even les than the least of teh individual capacitances.

A capacitor works in ______.

A sheet of aluminium foil of negligible thickness is introduced between the plates of a capacitor. The capacitance of the capacitor ______.

Capacitors are used in electrical circuits where appliances need more ______.

When air is replaced by a dielectric medium of constant K, the maximum force of attraction between two charges separated by a distance ______.


Two similar conducting spheres having charge+ q and -q are placed at 'd' seperation from each other in air. The radius of each ball is r and the separation between their centre is d (d >> r). Calculate the capacitance of the two ball system ______.


If the plates of a parallel plate capacitor connected to a battery are moved close to each other, then:

  1. the charge stored in it. increases.
  2. the energy stored in it, decreases.
  3. its capacitance increases.
  4. the ratio of charge to its potential remains the same.
  5. the product of charge and voltage increases.

Choose the most appropriate answer from the options given below:


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×