SP212-3321/5521
Exam III
March 2, 2016
As shown in the figure below, three capacitors are connected to an 8.00 V battery.
3.00 fiF
4.00 fiF
1.00
8.00V
Question 1; What is the equivalent capacitance of the three capacitors?
([1)2.00 fi£)
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(C) 6.00 }1F
(D) 4.75 mF
(E) 0.632 fiF
Question 2: How much charge is stored on the 3.0 fiF capacitor?
(A) 9.00 fiC
(B) 24.0 /iC
(C) 8.00 fiC
(D) 16.0 uC
(E) 12.0
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SP212-3321/5521
Exam III
March 2, 2016
Question 3: An air-filled (k = 1) parallel plate capacitor features metal plates of
area 4.00x10"'^
separated by a distance of 2.00x10"^ m. The largest magnitude
electric field that can exist between these plates before electric breakdown occurs
is 3.00x10^ N/C. What is the largest amount of energy that can be stored in this
capacitor?
(A) 2.54 J
(B) 5.31 J
(C) 7.97 J
(J)) 8.54 J
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Question 4: A 60-W lightbulb is designed such that it will dissipate thermal energy
at a rate 60.0 W when plugged into a typical 120 V outlet. The tungsten filament
in this lightbulb has a circular cross-section of area 1.66 x 10"^ m^ and an un
coiled length of 0.58 m. The resistivity of tungsten at room temperature (To=20°C)
is po=5.25x10~® fi-m and the temperature coefficient of resistivity of tungsten is
rv=4.50x lO"'"^ 1/°C. What is the temperature of the filament of this lightbulb when
it is on and dissipating 60 W? (Assume that the radius and length of the filament
do not change with temperature. Treat the 120 V outlet potential difference as con
stant.)
(A) 2040°C
^ fi57°C
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(D)I(EFC
(E) 1030°C
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SP212-3321/5521
March 2, 2016
Exam III
Question 5: A sample of silicon has a resistivity of 0.80 H-m. This sample forms a
cylinder with a radius 0.012 m and that is 0.055 m long. A potential difference of
25 V is applied across the length of this semiconductor. How much current will flow
through it?
B) 0.257^
C) 21.4 A
(D) 0.0818 A
(E) 24.7 A
Question 6: In the circuit shown below, we know that the current passing through
the 18.0
resistor is 1.65 A pointing to the right. What is £i, the emf of the top
battery? (Assume that the batteries are ideal.)
9.00 Q
+
Si
(A) 37.1 V
(B) 29.7 V
(C) 44.6 V
18.0f2
VA:
1=1.65 A
y) 41.9 V
^E) 47.3 "W
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+
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SP212-3321/5521
March 2, 2016
Exam III
A circuit is shown below. Assume that the battery is ideal.
9.00 a
1.40 n
6.00Q
AA/v
15.0V
Question 7: How much current is output by the battery?
m
10.7 A
CfB) 3.00 aJ
(C) 0.915 A
(D) 14.9 A
(E) 0.305 A
Question 8: How much current is passing through the 6.00
(A) 1.20 A
(B) 3.00 A
(C) 1.50 A
A
'E) 1,80 A
resistor?
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SP212-3321/5521
March 2, 2016
Exam III
Question 9: A 9.00 Q resistor is connected to a 12.0 V battery. How long does it take
for 1.28 kJ of heat to be dissipated by the resistor?
(A) 11.9 5
^B) 80.0
(C) 190 s
(D) IG.O s
(E) 0.96 s
Question 10: The capacitor in the circuit below is initially uncharged when the switch
is closed at time £=0. How much charge is stored on the capacitor at time £=0.75 s?
250.0n
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(A) 3.60 C
(B) 1.32 C
7,58 Q •
fo) 2.28 CJ
Jll) "4.74 C
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