(Multiple choice)

(1) True or false: 

(a) The equivalent capacitance of two capacitors in parallel equals the sum of the individual capacitances. 

(b) The equivalent capacitance of two capacitors in series is less than the capacitance of either capacitor alone.

(2)

Two initially uncharged capacitors of capacitance C₀ and 2C₀, respectively, are connected in series across a battery. Which of the following is true? 

(a) The capacitor 2C₀ carries twice the charge of the other capacitor. 

(b) The voltage across each capacitor is the same. 

(c) The energy stored by each capacitor is the same. 

(d) None of the above statements is correct.

(3) True or false:

 A dielectric inserted into a capacitor increases the capacitance.

(4) True or false: 

(a) The capacitance of a capacitor is defined as the total amount of charge it can hold. 

(b) The capacitance of a parallel-plate capacitor depends on the voltage difference between the plates. 

(c) The capacitance of a parallel-plate capacitor is proportional to the charge on its plates.

(5)

Two identical capacitors are connected in series to a 100-V battery. When only one capacitor is connected to this battery the energy stored is U₀. What is the total energy stored in the two capacitors when the series combination is connected to the battery? 

(a) 4U₀ 

(b) 2U₀ 

(c) U₀ 

(d ) U₀/2 

(e) U₀/4