Worksheet: Capacitor Combinations

In this worksheet, we will practice calculating the total capacitance of multiple capacitors in connected in series and in parallel combinations.

Q1:

The circuit in the diagram contains capacitors connected in series and in parallel. What is the total capacitance of the circuit?

Q2:

The circuit in the diagram contains two capacitors connected in parallel. What is the total capacitance of the circuit?

Q3:

Two capacitors, 𝐶 and 𝐶 , are connected in series, where 𝐶 > 𝐶 . Which of the following statements correctly relates the total capacitance, 𝐶 t o t a l , to 𝐶 and 𝐶 ?

  • A 𝐶 < 𝐶 < 𝐶 t o t a l
  • B 𝐶 = ( 𝐶 + 𝐶 ) t o t a l
  • C 𝐶 = 𝐶 𝐶 t o t a l
  • D 𝐶 < 𝐶 < 𝐶 t o t a l
  • E 𝐶 = 𝐶 + 𝐶 t o t a l

Q4:

The circuit in the diagram contains two capacitors connected in parallel. The total capacitance of the circuit is 240 µF. What is the capacitance 𝐶 ?

  • A 105 µF
  • B 375 µF
  • C 240 µF
  • D 308 µF
  • E 135 µF

Q5:

The circuit in the diagram contains two capacitors connected in series. The total capacitance of the circuit is 12 µF. What is the capacitance 𝐶 ?

  • A 16 µF
  • B 57 µF
  • C 45 µF
  • D 12 µF
  • E 33 µF

Q6:

The circuit in the diagram contains two capacitors connected in series. What is the total capacitance of the circuit? Answer to three significant figures.

  • A 400 µF
  • B 100 µF
  • C 250 µF
  • D 93.8 µF
  • E 150 µF

Q7:

A 135 µF capacitor and a 264 µF capacitor can be combined either in series or in parallel. Find the ratio of the total capacitance in parallel to the total capacitance in series.

Q8:

Two capacitors, 𝐶 and 𝐶 , are connected in parallel, where 𝐶 > 𝐶 . Which of the following statements correctly relates the total capacitance, 𝐶 t o t a l , to 𝐶 and 𝐶 ?

  • A 𝐶 < 𝐶 < 𝐶 t o t a l
  • B 𝐶 = ( 𝐶 + 𝐶 ) t o t a l
  • C 𝐶 = 𝐶 𝐶 + 𝐶 𝐶 t o t a l
  • D 𝐶 = 𝐶 𝐶 t o t a l
  • E 𝐶 = 𝐶 𝐶 t o t a l

Q9:

The circuit in the diagram contains capacitors connected in series and in parallel. The total capacitance of the circuit is 36 µF. What is the capacitance 𝐶 ?

Q10:

The circuit shown in the diagram contains capacitors connected in series and in parallel. The 65 µF capacitor is moved to be in series with the 55 µF capacitor. By how much does the total capacitance of the circuit change?

Q11:

The ratio of the total capacitance of two capacitors in parallel to the total capacitance of the capacitors in series is 2.5. The product of the capacitances of the two capacitors is 1 . 0 × 1 0 F2. What is the capacitance of the capacitors when combined in parallel?

  • A 2 . 0 × 1 0 F
  • B 1 . 5 × 1 0 F
  • C 5 . 0 × 1 0 F
  • D 3 . 2 × 1 0 F
  • E 2 . 5 × 1 0 F

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