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
= 4 µF C
2
= 5 µF C
3
= 8 µF;
Based on these values, what would be the total capacitance of this combination?
This diagram is only referenced in Questions 1-4.
17.0 µF
3.06 µF
1.7 µF
7.08 µF
omit
Question 2
What is the charge on each plate of capacitor C
1
if the emf of the battery is 10 volts?
10.2 µC
40.0 µC
3.27 µC
30.6 µC
omit
Question 3
What is the voltage drop across capacitor C
3
?
3.3 volts
7.6 volts
3.8 volts
2.4 volts
omit
Question 4
What is the charge on capacitor C
2
?
11.8 µC
18.8 µC
10.2 µC
2.00 µC
omit
Question 5
What would be the capacitance of a parallel plate capacitor where each plate has an area of 25 cm
2
and the plates are separated by 3 mm?
3.69 x 10
-11
F
7.38 x 10
-12
F
1.06 x 10
-11
F
6.64 x 10
-10
F
omit
Question 6
If the capacitor in Question #5 were to be charged by a 10-V battery, how much energy would be stored in the electric field between the capacitor's plates?
1.84 x 10
-9
Joules
3.69 x 10
-10
Joules
7.38 x 10
-11
Joules
5.31 x 10
-10
Joules
omit
Question 7
In the circuit shown below, R
1
has a resistance of 500 ohms, R
2
has a resistance of 800 ohms, and the battery has an emf of 10 volts. What would be the voltage lost across R
1
when steady state currents have been achieved?
10.0 volts
3.85 volts
5.00 volts
6.25 volts
omit
Question 8
If the capacitor has a capacitance equal to 4 µF, how muc charge would be stored on its plates when steady-state conditions have been reached?
15.4 µC
the charge cannot be determined
24.6 µC
40.0 µC
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