English
Karnataka Board PUCPUC Science Class 11

P Figure (31-q3) Shows Two Capacitors Connected in Series and Joined to a Battery. the Graph Shows the Variation in Potential as One Moves from Left to Right on the Branch Containing the Capacitors. - Physics

Advertisements
Advertisements

Question

The following figure shows two capacitors connected in series and joined to a battery. The graph shows the variation in potential as one moves from left to right on the branch containing the capacitors.

Options

  • C1 > C2

  • C1 = C2

  • C1 < C2

  • The information is not sufficient to decide the relation between C1 and C2.

MCQ

Solution

C1 < C​2

Region AB shows the potential difference across capacitor C​1 and region CD shows the potential difference across capacitor C2. Now, we can see from the graph that region AB is greater than region CD. Therefore, the potential difference across capacitor C1 is greater than that across capacitor C2. 

∵ Capacitance, C = `Q/V`

∴ C​​1 < C2         (Q remains the same in series connection.)

shaalaa.com
  Is there an error in this question or solution?
Chapter 9: Capacitors - MCQ [Page 164]

APPEARS IN

RELATED QUESTIONS

Two capacitors of unknown capacitances C1 and C2 are connected first in series and then in parallel across a battery of 100 V. If the energy stored in the two combinations is 0.045 J and 0.25 J respectively, determine the value of C1 and C2. Also calculate the charge on each capacitor in parallel combination.


The electric field inside a parallel plate capacitor is E. Find the amount of work done in moving a charge q over a closed loop a b c d a.


Three capacitors each of capacitance 9 pF are connected in series.

  1. What is the total capacitance of the combination?
  2. What is the potential difference across each capacitor if the combination is connected to a 120 V supply?

A cylindrical capacitor has two co-axial cylinders of length 15 cm and radii 1.5 cm and 1.4 cm. The outer cylinder is earthed and the inner cylinder is given a charge of 3.5 µC. Determine the capacitance of the system and the potential of the inner cylinder. Neglect end effects (i.e., bending of field lines at the ends).


Figure 4 below shows a capacitor C, an inductor L and a resistor R, connected in series
to an a.c. supply of 220 V

Calculate:

1) The resonant frequency of the given CLR circuit.

2) Current flowing through·the circuit.

3) Average power consumed by the circuit.


The plates of a parallel-plate  capacitor are given equal positive charges. What will be the potential difference between the plates? What will be the charges on the facing surfaces and on the outer surfaces?


Each plate of a parallel plate capacitor has a charge q on it. The capacitor is now connected to a batter. Now,
(a) the facing surfaces of the capacitor have equal and opposite charges
(b) the two plates of the capacitor have equal and opposite charges
(c) the battery supplies equal and opposite charges to the two plates
(d) the outer surfaces of the plates have equal charges


A parallel-plate capacitor having plate area 25 cm2 and separation 1⋅00 mm is connected to a battery of 6⋅0 V. Calculate the charge flown through the battery. How much work has been done by the battery during the process?


The plates of a capacitor are 2⋅00 cm apart. An electron-proton pair is released somewhere in the gap between the plates and it is found that the proton reaches the negative plate at the same time as the electron reaches the positive plate. At what distance from the negative plate was the pair released?


A parallel-plate capacitor having plate area 20 cm2 and separation between the plates 1⋅00 mm is connected to a battery of 12⋅0 V. The plates are pulled apart to increase the separation to 2⋅0 mm. (a) Calculate the charge flown through the circuit during the process. (b) How much energy is absorbed by the battery during the process? (c) Calculate the stored energy in the electric field before and after the process. (d) Using the expression for the force between the plates, find the work done by the person pulling the plates apart. (e) Show and justify that no heat is produced during this transfer of charge as the separation is increased.


Three capacitors of capacitance `C_1 = 3muf` , `C_2 = 6muf` , `C_3 = 10muf` , are connected to a 10V battery as shown in figure 3 below : 

Calculate :

(a) Equivalent capacitance.

(b) Electrostatic potential energy stored in the system 


The figure shows a network of five capacitors connected to a 100 V supply. Calculate the total energy stored in the network.


An ac circuit consists of a series combination of circuit elements X and Y. The current is ahead of the voltage in phase by `pi/4`. If element X is a pure resistor of 100 Ω,

(a) name the circuit element Y.

(b) calculate the rms value of current, if rms of voltage is 141 V.

(c) what will happen if the ac source is replaced by a dc source


On decreasing the distance between the plates of a parallel plate capacitor, its capacitance ______.

Two parallel plate capacitors X and Y, have the same area of plates and same separation between plates. X has air and Y with dielectric of constant 2, between its plates. They are connected in series to a battery of 12 V. The ratio of electrostatic energy stored in X and Y is ______.


Capacitors connected in series have ______


In the circuit shown in figure, initially K1 is closed and K2 is open. What are the charges on each capacitors.

Then K1 was opened and K2 was closed (order is important), What will be the charge on each capacitor now? [C = 1µF]


Two equal capacitors are first connected in series and then in parallel The ratio of the equivalent capacities in the two cases will be ______.


A capacitor of capacity C1 is charged to the potential of V0. On disconnecting with the battery, it is connected with an uncharged capacitor of capacity C2 as shown in the adjoining figure. Find the ratio of energies before and after the connection of switch S.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×