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}
= 4 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.
1.6 µF
6.67 µF
3.00 µF
16.0 µF
omit
Question 2
What is the charge on each plate of capacitor C
_{1}
if the emf of the battery is 12 volts?
12.0 µC
4.00 µC
48.0 µC
36.0 µC
omit
Question 3
What is the voltage drop across capacitor C
_{3}
?
4.0 volts
4.5 volts
3.0 volts
9.0 volts
omit
Question 4
What is the charge on capacitor C
_{2}
?
12.0 µC
12.0 µC
24.0 µC
3.00 µC
omit
Question 5
What would be the capacitance of a parallel plate capacitor where each plate has an area of 36 cm
^{2}
and the plates are separated by 2 mm?
7.97 x 10
^{-11}
F
1.59 x 10
^{-11}
F
4.92 x 10
^{-12}
F
6.37 x 10
^{-10}
F
omit
Question 6
If the capacitor in Question #5 were to be charged by a 12-V battery, how much energy would be stored in the electric field between the capacitor's plates?
5.73 x 10
^{-9}
Joules
3.54 x 10
^{-10}
Joules
1.91 x 10
^{-10}
Joules
1.15 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 800 ohms, and the battery has an emf of 12 volts. What would be the voltage lost across R
_{1}
when steady state currents have been achieved?
12.0 volts
6.00 volts
4.00 volts
6.00 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?
32.0 µC
16.0 µC
48.0 µC
the charge cannot be determined
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