हिंदी
कर्नाटक बोर्ड पी.यू.सी.पीयूसी विज्ञान 2nd PUC Class 12

Three capacitors each of capacitance 9 pF are connected in series. a. What is the total capacitance of the combination? b. What is the potential difference across each capacitor if the combination is - Physics

Advertisements
Advertisements

प्रश्न

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?
संख्यात्मक

उत्तर

  1. Capacitance of each of the three capacitors, C = 9 pF
    Equivalent capacitance (C') of the combination of the capacitors is given by the relation,
    `1/"C'" = 1/"C" + 1/"C" + 1/"C"`
    `1/"C'" = 1/9 + 1/9 + 1/9`
    = `1/3`
    C' = 3 pF
    Therefore, the total capacitance of the combination is 3 pF.
  2. Supply voltage, V = 120 V
    Potential difference (V') across each capacitor is equal to one-third of the supply voltage.
    ∴ `"V'" = "V"/3`
    = `120/3`
    = 40 V
    Therefore, the potential difference across each capacitor is 40 V.
shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 2: Electrostatic Potential and Capacitance - Exercise [पृष्ठ ८६]

APPEARS IN

एनसीईआरटी Physics [English] Class 12
अध्याय 2 Electrostatic Potential and Capacitance
Exercise | Q 2.6 | पृष्ठ ८६
एनसीईआरटी Physics [English] Class 12
अध्याय 2 Electrostatic Potential and Capacitance
Exercise | Q 6 | पृष्ठ ८७

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

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 of capacitances 2 pF, 3 pF and 4 pF are connected in parallel. Determine the charge on each capacitor if the combination is connected to a 100 V supply.


An electrical technician requires a capacitance of 2 µF in a circuit across a potential difference of 1 kV. A large number of 1 µF capacitors are available to him each of which can withstand a potential difference of not more than 400 V. Suggest a possible arrangement that requires the minimum number of capacitors.


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?


If the capacitors in the previous question are joined in parallel, the capacitance and the breakdown voltage of the combination will be


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.


Find the charges on the four capacitors of capacitances 1 μF, 2 μF, 3 μF and 4 μF shown in the figure.


A capacitor of capacitance 5⋅00 µF is charged to 24⋅0 V and another capacitor of capacitance 6⋅0 µF is charged to 12⋅0 V. (a) Find the energy stored in each capacitor. (b) The positive plate of the first capacitor is now connected to the negative plate of the second and vice versa. Find the new charges on the capacitors. (c) Find the loss of electrostatic energy during the process. (d) Where does this energy go?


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


Capacity of a parallel plate condenser can be increased by ______.

Three capacitors each of 4 µF are to be connected in such a way that the effective capacitance is 6µF. This can be done by connecting them:


Capacitors connected in series have ______


The total charge on the system of capacitors C1 = 1 µF, C2 = 2 µF, C3 = 4 µF and C4 = 3 µF connected in parallel is ______. (Assume a battery of 20 V is connected to the combination)


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×