Capacitors and capacitance, combinations in series and parallel, parallel plate capacitor with and without dielectric, energy stored in a capacitor - One Line Questions

1. What is the dimension of capacitance? — [M⁻¹L⁻²T⁴A²]
2. A parallel plate capacitor has a capacitance of 1 microfarad in vacuum. If a dielectric with K=4 is inserted, what is the new capacitance? — 4 microfarad
3. If three capacitors of capacitances C1, C2, and C3 are connected in series, the equivalent capacitance Ceq is given by: — 1/Ceq = 1/C1 + 1/C2 + 1/C3
4. If three capacitors of capacitances C1, C2, and C3 are connected in parallel, the equivalent capacitance Ceq is given by: — Ceq = C1 + C2 + C3
5. What is the capacitance of a capacitor if a charge of 0.001 Coulomb is stored on it when a potential difference of 10 Volts is applied across it? — 100 microfarad
6. A capacitor of 10 microfarad is connected to a 100V battery. What is the charge stored on the capacitor? — 1 C
7. If a capacitor is charged to a voltage V, and then the voltage is doubled, by what factor does the stored energy increase? — 4
8. A capacitor stores 50 J of energy when charged to 200 V. What is its capacitance? — 2.5 mF
9. The capacitance of a spherical conductor of radius R is: — 4πε₀R
10. Two capacitors, 2 microfarad and 3 microfarad, are connected in series. What is the equivalent capacitance? — 1.2 microfarad
11. Two capacitors, 2 microfarad and 3 microfarad, are connected in parallel. What is the equivalent capacitance? — 5 microfarad
12. Which of the following is NOT a factor affecting the capacitance of a parallel plate capacitor? — Charge on the plates
13. Two capacitors C1 and C2 are connected in series. What is their equivalent capacitance? — C1 * C2 / (C1 + C2)
14. Two capacitors C1 and C2 are connected in parallel. What is their equivalent capacitance? — C1 + C2
15. What happens to the capacitance of a parallel plate capacitor if a metal sheet of negligible thickness is inserted between the plates? — Capacitance becomes infinite
16. A capacitor is essentially a device used to store: — All of the above
17. When a dielectric material is introduced between the plates of a parallel plate capacitor, its capacitance: — Increases
18. When capacitors are connected in series, the charge on each capacitor is: — The same
19. When capacitors are connected in parallel, the voltage across each capacitor is: — The same
20. If the distance between the plates of a parallel plate capacitor is halved, its capacitance will: — Double
21. If the area of the plates of a parallel plate capacitor is doubled, its capacitance will: — Double
22. When a dielectric is inserted into a charged capacitor disconnected from the battery, the electric field between the plates: — Decreases
23. When a dielectric is inserted into a charged capacitor disconnected from the battery, the potential difference between the plates: — Decreases
24. When a dielectric is inserted into a charged capacitor disconnected from the battery, the energy stored: — Decreases
25. When a dielectric is inserted into a charged capacitor connected to a battery, the charge on the plates: — Increases
26. When a dielectric is inserted into a charged capacitor connected to a battery, the electric field between the plates: — Decreases
27. When a dielectric is inserted into a charged capacitor connected to a battery, the potential difference between the plates: — Remains unchanged
28. When a dielectric is inserted into a charged capacitor connected to a battery, the energy stored: — Increases
29. The dielectric strength of a material is the maximum electric field it can withstand before: — It conducts electricity
30. A capacitor of capacitance C is charged to voltage V. If the battery is removed and the distance between the plates is doubled, what happens to the charge on the capacitor? — It remains the same
31. A capacitor of capacitance C is charged to voltage V. If the battery is removed and the distance between the plates is doubled, what happens to the electric field between the plates? — It halves
32. A capacitor of capacitance C is charged to voltage V. If the battery is removed and the distance between the plates is doubled, what happens to the potential difference across the capacitor? — It doubles
33. A capacitor of capacitance C is charged to voltage V. If the battery is removed and the distance between the plates is doubled, what happens to the energy stored in the capacitor? — It becomes four times
34. A capacitor of capacitance C is charged to voltage V. If the battery remains connected and the distance between the plates is doubled, what happens to the charge on the capacitor? — It halves
35. A capacitor of capacitance C is charged to voltage V. If the battery remains connected and the distance between the plates is doubled, what happens to the electric field between the plates? — It halves
36. A capacitor of capacitance C is charged to voltage V. If the battery remains connected and the distance between the plates is doubled, what happens to the potential difference across the capacitor? — It remains the same
37. A capacitor of capacitance C is charged to voltage V. If the battery remains connected and the distance between the plates is doubled, what happens to the energy stored in the capacitor? — It halves
38. What is the unit of energy stored in a capacitor? — Joule
39. If a dielectric material with dielectric constant K is inserted between the plates of a parallel plate capacitor, what is the new capacitance? — K * C₀
40. For a given voltage, a larger capacitance means: — More charge stored
41. Which of the following represents the relationship between charge (Q), capacitance (C), and voltage (V) for a capacitor? — Q = CV
42. If the capacitance of a conductor is C, and it stores charge Q, then the potential energy stored is given by: — Q²/2C
43. The capacitance of a parallel plate capacitor is directly proportional to: — The area of the plates
44. The capacitance of a parallel plate capacitor is inversely proportional to: — The distance between the plates
45. What is the dielectric constant (K) of a material? — The ratio of capacitance with dielectric to capacitance in vacuum
46. What is the formula for the energy stored in a capacitor (U) in terms of voltage (V) and capacitance (C)? — U = ½ CV²
47. What is the formula for the energy stored in a capacitor (U) in terms of charge (Q) and voltage (V)? — U = ½ QV
48. What is the formula for the energy stored in a capacitor (U) in terms of charge (Q) and capacitance (C)? — U = Q² / (2C)
49. What is the unit of capacitance? — Farad
50. A parallel plate capacitor has plates of area A and separation d. What is its capacitance in vacuum? — ε₀A/d
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