Nootan Kumar Mittal ISC Class 12th Chapter 4th Capacitor and Dielectrics( part II NUMERICAL SOLUTION)}

Chapter 4

Capacitor's and Dielectrics

NUMERICAL SOLUTION.

Note: Take values of a necessary physical constant from the following table;

1. A capacitor when charged to 1000V,----------------------------------------. Find the capacity of the capacitor.

Ans.1

2.The capacitance of the spherical conductor is 1. What is its diameter?

Ans.2

3. A PD of 250 V exists across the plate-------------------. Find the charge on each plate.

Ans.3

4. What distance d between the two parallel plates,------------------------. That it's capacitance is same as of a conducting sphere of radius a= 0.5m.

Ans.4

5. An air parallel-plate capacitor has a plate area of------------------------. What is the charge on each plate of the capacitor?

Ans.5

6 .The area of each plate of a parallel-plate capacitor-----------------------. Find the dielectric constant.

Ans.6

7. How much area of a paper will be required to construct are parallel-plate off-----------------------------. And its thickness be 0.025 mm.

Ans.7

8. We have a glass slab ( k=7) 4.0 mm thick ,------------------------------.between the plates of a parallel plate capacitor to obtain maximum capacitance?

Ans.8

9. The potential difference between the plate of a parallel -plate capacitor is 200V.------------------------------, then what will be the potential difference for the same charge?

Ans.9

10 . A paper is placed between two plates of copper, area of each 100cm^{2 --------------------------------------------. How much charge will be store on the capacitor?

Ans.10}

^{11. When a 20V battery is connected to the air-capacitor, A charge of----------------------------------. The energy contained in the oil- capacitor .

Ans.11}

^{13. Parallel-plate capacitor has a plate -area of a 90}cm^{2 and separated 2.5mm--------------------------------------------------- . Obtain energy density (energy per unit volume).

Ans.13}

^{14. A parallel-plate 100}μF capacitor is charged to---------------------------------------- .The plates and what will be the charge in the store energy?

Ans.14

15. A 16μF capacitor is charged to ------------------------------------------. What will be the work required in doubling the distance between the plates?

Ans.15

16. A 6μF capacitor is raised in PD from 10 to 20 V. Compute increases in electric potential energy .

Ans.16

17. The capacitor of a variable capacitor connect to-----------------------------------------. Compute energy charge.

Ans.17

18. The capacitance of a variable radio capacitor can be charged from 50 pF to 950pF bye turning the dial from 0 to 180° .-------------------------------------------------------------. How much work is required to turn the dial , if action is neglected?

Ans.18

19. Three equal 9pF capacitors are connected in series.------------------------------------------------. PD across each capacitor in the combination is connected to a 120 V supply.

Ans.19

20 . Three capacitor of 2pF,3pF and 4pF capacitance are connected in parallel---------------------------. If the combination is connected to a 100V supply.

Ans.20

21. Two capacitors have an equivalent capacitance of------------------------------------. What are their individual capacitance?

Ans.22

22. How and how many capacitor is having capacitor of--------------------------------------------------, if the arrangement is given our chart of 75 μC.

23. We have two variable capacitors; each of them can be varied from-------------------------------------------------------------------------------. What minimum and maximum capacitance can be obtained by combining them?

Ans.23
24. Three equal capacitor joining in parallel take a total charge of-----------------------------------------, if joining in series?

Ans.24
25. Two parallel-,plate capacitors,20 μF and 30 μF------------------------------. Find the common PD between the plates of the capacitor.

Ans.25
26. A 2.0μF capacitor is charged to the potential of 600V------------------------------------------------------. What will be done new potential?

Ans.26
27. A 80μF capacitor is charged by a 50 V from the battery---------------------------------------------. Find the charge on the second capacitor.

Ans.27
28. Two capacitors 4μF and 2μF are connected in parallel--------------------------------------------------. Charge on each.

Ans.28
29. A 2μF capacitor is connected in parallel to another capacitor of 4μF-------------------------------------------------------. What is the total charge on the combination and how much energy store in it?
Ans.29
30. There are three capacitor each of 0.50μF.----------------------------------------------------------, what is will be the total charge Stored?

Ans.30
31. Four capacitor of 2, 6 ,12 and 20μF joining in parallel-------------------------------------------. Energy is 20μF capacitor?

Ans.31
32. Are potential difference of 120 V it is applied to combination of two capacitors----------------------------------------------------- . The potential difference and chart for each of two capacitors.

Ans.32
35. A 600pF capacitor is charged by a 200V supply ----------------------------------------------------------. How much electrostatic energy is lost in this process? Where does this energy go?

Ans.35
37. A 100pF capacitor in charge to a potential difference of 100 V .--------------------------------------------------------? How much energy will be waste and what will happen to it?

Ans.37
38. A electronic class has 20 capacitor, each of capacitance 5μF----------------------------------------------------. How much energy will be ready added in the flash?

Ans.38
39. Three capacitor of capacitance C1=3μF, C2=6μF C3=10μF,-----------------------------------------------. Electrostatic potential energy store in the system.

Ans 39
40. In the given combination of capacitor, gap between the points----------------------------------------. Charge on capacitor.

And.40
41. Calculate the capacitance C in the given fig.-------------------------------------------------.P and Q is 30μF.

Ans.41
42. Calculate the equivalent capacitor-----------------------------------------.given combination.

Ans.42
43. In the given network.---------------------------------- the plates of 6μF Capacitance.

44. Calculate the equivalent Capacitance between-----------------------------------------------------.charge on the capacitor closest to?

Notes of Capacitor and dielectrics