Capacitors in Parallel Quiz with Answers for AP Physics 2

📚 Quick Study Guide

• ➕ When capacitors are connected in parallel, the total capacitance ($C_{eq}$) is the sum of the individual capacitances: $C_{eq} = C_1 + C_2 + C_3 + ...$
• ⚡ The voltage ($V$) across each capacitor in a parallel connection is the same.
• 🔋 The total charge ($Q_{total}$) stored in the parallel combination is the sum of the charges on each capacitor: $Q_{total} = Q_1 + Q_2 + Q_3 + ...$
• 📐 The charge on each capacitor is given by: $Q = CV$, where C is the capacitance and V is the voltage.
• 💡 The equivalent capacitance is always greater than any of the individual capacitances in a parallel circuit.
• 🧪 When solving problems, ensure all units are consistent (Farads for capacitance, Volts for voltage, and Coulombs for charge).

Practice Quiz

1. What is the equivalent capacitance of three capacitors connected in parallel with capacitances of 2 μF, 4 μF, and 6 μF?
   1. 6 μF
   2. 8 μF
   3. 12 μF
   4. 24 μF
2. Two capacitors, $C_1 = 3 \mu F$ and $C_2 = 6 \mu F$, are connected in parallel to a 12V battery. What is the voltage across $C_2$?
   1. 4 V
   2. 6 V
   3. 12 V
   4. 18 V
3. Three identical capacitors, each with a capacitance of $C$, are connected in parallel. What is the equivalent capacitance?
   1. $C/3$
   2. $C$
   3. $2C$
   4. $3C$
4. A 5 μF and a 10 μF capacitor are connected in parallel to a 100V source. What is the total charge stored in the combination?
   1. 500 μC
   2. 1000 μC
   3. 1500 μC
   4. 2000 μC
5. If the equivalent capacitance of two parallel capacitors is 12 μF and one capacitor has a capacitance of 4 μF, what is the capacitance of the other capacitor?
   1. 3 μF
   2. 8 μF
   3. 16 μF
   4. 48 μF
6. What happens to the total charge stored in a parallel combination of capacitors if the voltage across them is doubled?
   1. It is halved.
   2. It remains the same.
   3. It is doubled.
   4. It is quadrupled.
7. Two capacitors of 4 μF and 8 μF are in parallel connected to a 6V source. What is the charge on the 4 μF capacitor?
   1. 12 μC
   2. 24 μC
   3. 36 μC
   4. 48 μC