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
= 3 µF C
3
= 9 µF;
Based on these values, what would be the total capacitance of this combination?
This diagram is only referenced in Questions 1-4.
1.4 µF
16.0 µF
6.25 µF
3.00 µF
omit
Question 2
What is the charge on each plate of capacitor C
1
if the emf of the battery is 10 volts?
10.0 µC
40.0 µC
30.0 µC
3.33 µC
omit
Question 3
What is the voltage drop across capacitor C
3
?
3.8 volts
2.5 volts
3.3 volts
7.5 volts
omit
Question 4
What is the charge on capacitor C
2
?
22.5 µC
3.33 µC
7.5 µC
10.0 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 2 mm?
1.11 x 10
-11
F
4.43 x 10
-10
F
7.08 x 10
-12
F
5.53 x 10
-11
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?
3.54 x 10
-10
Joules
1.11 x 10
-10
Joules
5.53 x 10
-10
Joules
2.77 x 10
-9
Joules
omit
Question 7
In the circuit shown below, R
1
has a resistance of 300 ohms, R
2
has a resistance of 900 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?
3.33 volts
10.0 volts
5.00 volts
2.50 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?
the charge cannot be determined
10.0 µC
40.0 µC
30.0 µC
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