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}
= 5 µF C
_{2}
= 5 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.
20.0 µF
3.75 µF
8.33 µF
2.0 µF
omit
Question 2
What is the charge on each plate of capacitor C
_{1}
if the emf of the battery is 14 volts?
70.0 µC
17.5 µC
3.73 µC
52.5 µC
omit
Question 3
What is the voltage drop across capacitor C
_{3}
?
3.5 volts
10.5 volts
5.3 volts
4.7 volts
omit
Question 4
What is the charge on capacitor C
_{2}
?
35.0 µC
2.80 µC
17.5 µC
17.5 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 5 mm?
9.03 x 10
^{-12}
F
8.67 x 10
^{-12}
F
4.34 x 10
^{-11}
F
2.17 x 10
^{-9}
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?
8.85 x 10
^{-10}
Joules
1.21 x 10
^{-10}
Joules
8.5 x 10
^{-10}
Joules
4.25 x 10
^{-9}
Joules
omit
Question 7
In the circuit shown below, R
_{1}
has a resistance of 500 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?
4.67 volts
7.00 volts
14.0 volts
7.00 volts
omit
Question 8
If the capacitor has a capacitance equal to 5 µF, how muc charge would be stored on its plates when steady-state conditions have been reached?
70.0 µC
23.3 µC
46.7 µC
the charge cannot be determined
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