Capacitor without Dielectric Interactive Concept Quiz

 

Capacitor Basics MCQ Quiz

Section A: Theory

1. Capacitance is defined as the ratio of charge stored to potential difference.

QV Q/V V/Q Q²/V

2. The SI unit of capacitance is:

Volt Coulomb Farad Ohm

3. Capacitance of a parallel plate capacitor depends on area and separation.

Charge only Voltage only Area & separation Time

4. The energy stored in a capacitor is given by:

CV CV² ½CV² QV²

5. Energy density in an electric field is proportional to:

E E² 1/E E³

6. The force between capacitor plates is attractive.

Repulsive Attractive Zero Depends

7. In series combination, the charge on each capacitor remains the same.

Voltage same Charge same C increases Energy zero

8. In parallel combination, the voltage across each capacitor is the same.

Charge same Voltage same C decreases Energy zero

9. Voltage division in series capacitors depends on capacitance values.

Charge Capacitance Resistance Current

10. Redistribution of charge occurs until equal voltage is achieved.

Equal charge Equal voltage Equal energy Equal capacitance

Section B: Numerical

11. A parallel plate capacitor has area 2 m² and separation 1 m.

ε₀ 2ε₀ 3ε₀ 4ε₀

12. Find energy stored if capacitance is 2F and voltage is 2V.

2J 4J 8J 1J

13. Find energy density when electric field is 2.

ε₀ ε₀/2 2ε₀ 4ε₀

14. Two capacitors of 2F each are connected in series.

1F 2F 4F 0.5F

15. Two capacitors of 2F each are connected in parallel.

1F 2F 4F 0.5F

16. Voltage division for equal capacitors in series.

Equal Unequal Zero Infinite

17. If plate area doubles, force becomes:

Doubles Halves Same Zero

18. Final condition in parallel combination:

Equal charge Equal voltage Equal energy Equal capacitance

19. Equivalent capacitance of 1F and 2F in series.

3F 2/3F 1/3F 1F

20. Equivalent capacitance of 1F and 2F in parallel.

3F 2/3F 1/3F 1F

Detailed Solutions (Numericals)

Q11: \(C=\dfrac{\epsilon_0A}{d}=2\epsilon_0\)

Q12: \(U=4J\)

Q13: \(u=2\epsilon_0\)

Q14: \(C=1F\)

Q15: \(C=4F\)

Q16: Equal division

Q17: Doubles

Q18: Equal voltage

Q19: \(C=2/3F\)

Q20: \(C_p=C_1+C_2\\ C=3F\)