Capacitors and capacitance, combinations in series and parallel, parallel plate capacitor with and without dielectric, energy stored in a capacitor - Online Test

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1. What is the unit of capacitance?

A) Volt B) Ampere C) Farad D) Ohm

2. Which of the following represents the relationship between charge (Q), capacitance (C), and voltage (V) for a capacitor?

A) Q = CV B) C = QV C) V = CQ D) Q = C/V

3. Two capacitors C1 and C2 are connected in series. What is their equivalent capacitance?

A) C1 + C2 B) C1 * C2 / (C1 + C2) C) 1 / (C1 + C2) D) (C1 + C2) / (C1 * C2)

4. Two capacitors C1 and C2 are connected in parallel. What is their equivalent capacitance?

A) C1 + C2 B) C1 * C2 / (C1 + C2) C) 1 / (C1 + C2) D) (C1 + C2) / (C1 * C2)

5. A parallel plate capacitor has plates of area A and separation d. What is its capacitance in vacuum?

A) ε₀A/d B) ε₀d/A C) A/(ε₀d) D) d/(ε₀A)

6. When a dielectric material is introduced between the plates of a parallel plate capacitor, its capacitance:

A) Decreases B) Increases C) Remains unchanged D) Becomes zero

7. What is the dielectric constant (K) of a material?

A) The ratio of capacitance with dielectric to capacitance in vacuum B) The ratio of capacitance in vacuum to capacitance with dielectric C) The product of capacitance with dielectric and capacitance in vacuum D) The difference between capacitance with dielectric and capacitance in vacuum

8. If a dielectric material with dielectric constant K is inserted between the plates of a parallel plate capacitor, what is the new capacitance?

A) K * C₀ B) C₀ / K C) C₀ + K D) C₀ - K

9. What is the formula for the energy stored in a capacitor (U) in terms of charge (Q) and capacitance (C)?

A) U = Q² / (2C) B) U = Q² * C C) U = C / (2Q²) D) U = 2Q² * C

10. What is the formula for the energy stored in a capacitor (U) in terms of voltage (V) and capacitance (C)?

A) U = ½ CV² B) U = CV² C) U = ½ C/V² D) U = C²V/2

11. What is the formula for the energy stored in a capacitor (U) in terms of charge (Q) and voltage (V)?

A) U = ½ QV B) U = QV C) U = Q/(2V) D) U = 2QV

12. If a capacitor is charged to a voltage V, and then the voltage is doubled, by what factor does the stored energy increase?

A) 2 B) 3 C) 4 D) 8

13. When capacitors are connected in series, the charge on each capacitor is:

A) Different B) The same C) Zero D) Equal to the total charge

14. When capacitors are connected in parallel, the voltage across each capacitor is:

A) Different B) The same C) Zero D) Equal to the total voltage

15. The capacitance of a parallel plate capacitor is directly proportional to:

A) The distance between the plates B) The area of the plates C) The square of the distance between the plates D) The inverse of the area of the plates

16. The capacitance of a parallel plate capacitor is inversely proportional to:

A) The distance between the plates B) The area of the plates C) The square of the distance between the plates D) The square of the area of the plates

17. If the distance between the plates of a parallel plate capacitor is halved, its capacitance will:

A) Halve B) Double C) Remain the same D) Become four times

18. If the area of the plates of a parallel plate capacitor is doubled, its capacitance will:

A) Halve B) Double C) Remain the same D) Become four times

19. 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?

A) It doubles B) It halves C) It remains the same D) It becomes zero

20. 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?

A) It doubles B) It halves C) It remains the same D) It becomes zero

21. 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?

A) It doubles B) It halves C) It remains the same D) It becomes zero

22. 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?

A) It doubles B) It becomes four times C) It remains the same D) It halves

23. 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?

A) It doubles B) It halves C) It remains the same D) It becomes zero

24. 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?

A) It doubles B) It halves C) It remains the same D) It becomes zero

25. 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?

A) It doubles B) It halves C) It remains the same D) It becomes zero

26. 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?

A) It doubles B) It becomes four times C) It remains the same D) It halves

27. What is the dimension of capacitance?

A) [M⁻¹L⁻²T⁴A²] B) [M¹L²T⁻³A²] C) [M⁰L⁰T⁰A⁰] D) [M¹L¹T¹A¹]

28. What is the unit of energy stored in a capacitor?

A) Joule B) Watt C) Coulomb D) Volt

29. A capacitor is essentially a device used to store:

A) Charge B) Energy C) Electric field D) All of the above

30. What happens to the capacitance of a parallel plate capacitor if a metal sheet of negligible thickness is inserted between the plates?

A) Capacitance increases B) Capacitance decreases C) Capacitance becomes infinite D) Capacitance remains unchanged

31. For a given voltage, a larger capacitance means:

A) Less charge stored B) More charge stored C) No charge stored D) Negative charge stored

32. The dielectric strength of a material is the maximum electric field it can withstand before:

A) It conducts electricity B) It melts C) It becomes an insulator D) It explodes

33. If three capacitors of capacitances C1, C2, and C3 are connected in series, the equivalent capacitance Ceq is given by:

A) 1/Ceq = 1/C1 + 1/C2 + 1/C3 B) Ceq = C1 + C2 + C3 C) Ceq = (C1*C2*C3)/(C1+C2+C3) D) Ceq = 1/(C1+C2+C3)

34. If three capacitors of capacitances C1, C2, and C3 are connected in parallel, the equivalent capacitance Ceq is given by:

A) 1/Ceq = 1/C1 + 1/C2 + 1/C3 B) Ceq = C1 + C2 + C3 C) Ceq = (C1*C2*C3)/(C1+C2+C3) D) Ceq = 1/(C1+C2+C3)

35. Which of the following is NOT a factor affecting the capacitance of a parallel plate capacitor?

A) Area of the plates B) Distance between the plates C) Material between the plates D) Charge on the plates

36. When a dielectric is inserted into a charged capacitor disconnected from the battery, the electric field between the plates: