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}
= 8 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
6.18 µF
15.0 µF
2.93 µF
omit
Question 2
What is the charge on each plate of capacitor C
_{1}
if the emf of the battery is 10 volts?
40.0 µC
29.3 µC
3.41 µC
9.8 µC
omit
Question 3
What is the voltage drop across capacitor C
_{3}
?
2.7 volts
7.3 volts
3.7 volts
3.3 volts
omit
Question 4
What is the charge on capacitor C
_{2}
?
21.3 µC
9.8 µC
3.33 µC
8.0 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 3 mm?
1.06 x 10
^{-11}
F
7.38 x 10
^{-12}
F
6.64 x 10
^{-10}
F
3.69 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?
5.31 x 10
^{-10}
Joules
1.84 x 10
^{-9}
Joules
7.38 x 10
^{-11}
Joules
3.69 x 10
^{-10}
Joules
omit
Question 7
In the circuit shown below, R
_{1}
has a resistance of 300 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?
2.73 volts
3.75 volts
5.00 volts
10.0 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?
40.0 µC
10.9 µC
29.1 µC
the charge cannot be determined
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