Practice Problems
Resistors and Capacitors
Directions:
On this worksheet you will review the formulas and relationships for capacitors wired in series and in parallel and well as capacitors in DC circuits.
omit
Question 1
In the circuit shown below, the values for each capacitor are:
C
1
= 7 µF C
2
= 4 µF C
3
= 10 µF;
Based on these values, what would be the total capacitance of this combination?
This diagram is only referenced in Questions 1-4.
4.67 µF
2.0 µF
9.86 µF
21.0 µF
omit
Question 2
What is the charge on each plate of capacitor C
1
if the emf of the battery is 14 volts?
3.00 µC
98.0 µC
65.3 µC
21.8 µC
omit
Question 3
What is the voltage drop across capacitor C
3
?
4.7 volts
4.7 volts
4.7 volts
9.3 volts
omit
Question 4
What is the charge on capacitor C
2
?
21.8 µC
3.50 µC
46.7 µC
18.7 µC
omit
Question 5
What would be the capacitance of a parallel plate capacitor where each plate has an area of 49 cm
2
and the plates are separated by 2 mm?
1.08 x 10
-10
F
2.17 x 10
-11
F
8.67 x 10
-10
F
3.61 x 10
-12
F
omit
Question 6
If the capacitor in Question #5 were to be charged by a 14-V battery, how much energy would be stored in the electric field between the capacitor's plates?
3.04 x 10
-10
Joules
1.06 x 10
-8
Joules
3.54 x 10
-10
Joules
2.12 x 10
-9
Joules
omit
Question 7
In the circuit shown below, R
1
has a resistance of 400 ohms, R
2
has a resistance of 1000 ohms, and the battery has an emf of 14 volts. What would be the voltage lost across R
1
when steady state currents have been achieved?
14.0 volts
4.00 volts
5.60 volts
7.00 volts
omit
Question 8
If the capacitor has a capacitance equal to 7 µF, how muc charge would be stored on its plates when steady-state conditions have been reached?
70.0 µC
98.0 µC
28.0 µC
the charge cannot be determined
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