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Capacitance is defined as charge ÷ potential difference and its unit is the farad, so the IB Year 13 capacitor sheet pins down the ratio first. The key records Q = CV, stored energy ½CV², and that increasing the plate area raises capacitance.
Key Takeaways
Capacitance is charge ÷ potential difference (Q1).
The farad is the unit of capacitance (Q2).
The key records Q = CV and stored energy ½CV².
Section A: Multiple Choice Questions (1 Mark Each)
Choose the correct option for each question.
1.
Capacitance is defined as
(a) charge ÷ potential difference (b) charge × potential difference (c) charge + voltage (d) voltage ÷ charge
2.
The unit of capacitance is the
(a) farad (b) ohm (c) watt (d) coulomb
3.
The energy stored in a capacitor is given by
(a) ½CV² (b) CV (c) ½C²V (d) V ÷ C
4.
A capacitor stores energy in
(a) an electric field (b) a magnetic field (c) heat (d) chemical bonds
5.
The charge stored by a capacitor is given by
(a) Q = CV (b) Q = C ÷ V (c) Q = V ÷ C (d) Q = C + V
6.
A parallel-plate capacitor stores more charge when
(a) the plate area is increased (b) the plate separation is increased (c) the plates are removed (d) the voltage is reduced to zero
Section B: Short Answer Type Questions (2 Marks Each)
Show all steps clearly.
7.
Define capacitance.
8.
Write the formula for capacitance.
9.
State the unit of capacitance.
10.
Write the formula for the energy stored in a capacitor.
11.
What does a capacitor do in a circuit?
12.
What happens to the charge stored if the voltage across a capacitor is doubled?
13.
How does increasing the plate separation affect the capacitance?
14.
Give one use of capacitors.
Section C: Numericals & Word Problems (3 Marks Each)
Apply the concepts to solve the problems. Show all working.
15.
A capacitor stores 20 µC of charge at a voltage of 10 V. Using C = Q ÷ V, find the capacitance.
16.
A 10 µF capacitor is charged to 5 V. Using Q = CV, find the charge stored.
17.
A 4 µF capacitor is charged to 6 V. Using E = ½CV², find the energy stored.
18.
A capacitor of 50 µF stores a charge of 100 µC. Using V = Q ÷ C, find the voltage.
19.
A 2 µF capacitor is charged to 10 V. Using E = ½CV², find the energy stored.
20.
A capacitor stores a charge of 30 µC at a voltage of 6 V. Using C = Q ÷ V, find the capacitance.
Answer Key
1. a) charge ÷ potential difference
2. a) farad
3. a) ½CV²
4. a) an electric field
5. a) Q = CV
6. a) the plate area is increased
7. Refer to solution guide.
8. Refer to solution guide.
9. Refer to solution guide.
10. Refer to solution guide.
11. Refer to solution guide.
12. Refer to solution guide.
13. Refer to solution guide.
14. Refer to solution guide.
15. Refer to solution guide.
16. Refer to solution guide.
17. Refer to solution guide.
18. Refer to solution guide.
19. Refer to solution guide.
20. Refer to solution guide.
End of Worksheet
People Also Ask
What is capacitance?
Charge ÷ potential difference, option (a) in this worksheet (Q1).
What is the unit of capacitance?
The farad, option (a) in this worksheet (Q2).
What happens when the plate area is increased?
The capacitance increases, from the answer key on this page.