Two capacitors, C1=2.7 μF and C2=3.9 μF, are connected in series across a battery with steady terminal voltage V=12 V, as shown below.

Sunday, 26 August 2018

1:12 AM

Machine generated alternative text:
Question: 
Two capacitors, Cl = 
part 1) 
2.7 = 
3.9 'IF, are connected in series across a battery witn steady terminal voltage V 
12 V, as shown below 
While the capacitors are connected to the battery, what charges do they carry? 
Figure 1 _ Two capacitors witn capacitance Cl and C2 connected in series across a voltage supply of V 
part 2) 
What is the total energy stored in the capacitors while still connected to the battery? 
Figure 1 _ Two capacitors witn capacitance Cl and C2 connected in series across a voltage supply of V

 

Machine generated alternative text:
part 3) 
The capacitors are then completely removed trom the circuit and reconnected witn their negative terminals connected together (middle), then their positive terminals (right). What is the charge on Cl 
in this condition? 
Figure 2. After the capacitors are charged the voltage source is removed. 
Figure 3. The nvo positive terminals of each capacitor are connected. 
Check

 

Machine generated alternative text:
Feedback tor Part la) 
The two capacitors are in series, and Cseries = 
. So, from the definition of capacitance, the charge on the combination, and thus also on each, is 
q = CV = C V — -C&- V. You should evaluate this expression. 
Marks for this submissiom 0.00/0.25. This submission attracted a penalty of 0.08. 
Feedback tor Part 1b) 
Your answer tor should be the same as your answer tor qi . 
Marks for this submissiom 0.00/0.25. This submission attracted a penalty of 0.08. 
Feedback tor Part 2) 
The energy stored on a capacitor is 1/2CV2, so here 
You should evaluate this expression. 
Marks for this submissiom 0.00/0.25. This submission attracted a penalty of 0.08. 
Feedback tor Part 3) 
2 series 
2 4-C2 
When the capacitors are connected in parallel, the charge '2q is shared between them. Conservation ot charge requires that the final charges satisfy 
+d2 = 2q. (1) 
Further, when connected in parallel, their potential differences V' are equal, so 
which gives 
Combining (1) and (2) gives 
which rearranges to 
You should evaluate this expression. From symmetry, q'2 
Cl+C2 
2CIC2 
V. However this was not requested. 
Marks for this submissiom 0.00/0.25. This submission attracted a penalty of 0.08.

 

Machine generated alternative text:
A correct answer is 19, which can be typed in as follows: 
A correct answer is 19, which can be typed in as follows: 
A correct answer is 120, which can be typed in as follows: 
128 
A correct answer 7.8, which can be typed in as follows:

 

 

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